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¿Y si no existe nada? — Transcript

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  1. 0:00What is fundamental? What is the
  2. 0:02starting point of reality? What is
  3. 0:04everything made of? Western philosophy,
  4. 0:06in a simplified way, is an attempt to
  5. 0:09answer these questions. And the answers
  6. 0:12have been very varied, from matter, God
  7. 0:15, spirit, just atoms, numbers, Plato's
  8. 0:17forms, energy, information, experiences
  9. 0:19, sensations, to language. But it could
  10. 0:22be that the answer to everything is
  11. 0:24nothing. Friends, prepare yourselves
  12. 0:27for a thrilling journey through the
  13. 0:29history of ideas, from Thales of
  14. 0:30Miletus and the ancient physicists
  15. 0:32Democritus and his atoms, to the modern
  16. 0:33world ideas of Descartes, Leibniz, and
  17. 0:35Newton. And all to try to bring order
  18. 0:38to the craziest puzzle in physics. What
  19. 0:40is going on with quantum mechanics?
  20. 0:42Friends, the story is tremendous.
  21. 0:45Heisenberg, a 24-year-old guy lost on
  22. 0:47an island trying to make sense of some
  23. 0:49absurd numbers. While a few thousand
  24. 0:51kilometers away, Schrödinger is in a
  25. 0:54spa in the Alps, not with his wife, but
  26. 0:56with his mistress, trying to complete
  27. 0:58the same puzzle. Both would come up
  28. 1:01with two visions of the universe, two
  29. 1:03different ways of understanding reality
  30. 1:05that remain at odds today. The solution
  31. 1:07could have been held 300 years earlier
  32. 1:09by a German sage. Friends, the new
  33. 1:12season of Date un Vlog begins, with a
  34. 1:14new space, but with the same spirit:
  35. 1:16mixing science, philosophy, art, and
  36. 1:19literature in a unique space to blow
  37. 1:21your mind. So we kick off with a video
  38. 1:23where you will understand what quantum
  39. 1:25mechanics is, its historical
  40. 1:27development, the characters involved in
  41. 1:29its creation, why quantum is currently
  42. 1:31a mystery, and what challenges the
  43. 1:33different interpretations of quantum
  44. 1:35mechanics pose, in addition to taking a
  45. 1:37look at the philosophy behind quantum
  46. 1:39and, specifically, at the work of a 17
  47. 1:41th-century German visionary. Be ready,
  48. 1:44because you are going to flip out this
  49. 1:46time very, very much. And many thanks,
  50. 1:48by the way, to Enricos a la filosofía
  51. 1:50for reviewing this script. A new season
  52. 1:52begins on Date un Vlog. Let's get to it
  53. 1:55. It was around 3 in the morning when
  54. 2:03the final result of my calculations
  55. 2:04appeared before me. I felt shaken. I
  56. 2:08was so agitated that I couldn't think
  57. 2:10of sleeping. This is what one of the
  58. 2:12main characters behind quantum
  59. 2:14mechanics wrote. 1924 Copenhagen, a 23-
  60. 2:16year-old young man suffers his
  61. 2:18umpteenth allergy attack, hay fever,
  62. 2:20and at the worst moment, he had a
  63. 2:22physical enigma in front of him that he
  64. 2:24was unable to solve, much to his
  65. 2:26frustration. He was totally obsessed.
  66. 2:28Desperate, he asks his mentor, Niels
  67. 2:30Bohr, for a week off. His idea was to
  68. 2:32go to the rocky island of Heligoland to
  69. 2:34put an end to that mystery. It was a
  70. 2:37small, desolate island without any
  71. 2:38annoying pollen, with pure air to help
  72. 2:41his health recover. And in the freedom
  73. 2:43of that remote place, he sought to find
  74. 2:45a space to think. He was on the trail
  75. 2:48of an idea that would solve everything
  76. 2:50at once, but to reach it he had to take
  77. 2:51a terrible leap, close his eyes, and
  78. 2:53leave everything behind. He needed a
  79. 2:56leap into the absurd. To accept that
  80. 2:58nothing is what it seems. Quantum
  81. 3:00mechanics was about to be born. The
  82. 3:02story of his intellectual rival would
  83. 3:04be no less spectacular. Once again, a
  84. 3:06health problem, in this case, tougher:
  85. 3:08tuberculosis. Zurich, 1925.
  86. 3:12Schrödinger felt frustrated; at nearly
  87. 3:1440, he hadn't done anything relevant in
  88. 3:16physics and felt his time for glory had
  89. 3:19passed while he obsessed over the
  90. 3:21mystery of quantum theory. What did all
  91. 3:24of that mean? In one of his frequent
  92. 3:26retreats to a sanatorium in Arosa,
  93. 3:27Switzerland, due to his illness,
  94. 3:29inspiration struck. This time to the
  95. 3:32spa, he took not only his most intimate
  96. 3:34lover of the many he had, but also an
  97. 3:36article by an unknown scientist with a
  98. 3:38new idea: particles are waves. From a
  99. 3:41totally different angle, Schrödinger
  100. 3:43would arrive at a complementary,
  101. 3:45distinct solution to the atomic enigma.
  102. 3:49It was another quantum mechanics, and
  103. 3:51rivalry was inevitable—not because of
  104. 3:53the math, which was soon resolved, but
  105. 3:55because of the very meaning of the
  106. 3:57theory. They had found the secret to
  107. 4:01understanding the atomic world, but
  108. 4:02they didn't quite understand the
  109. 4:03language in which the answer was
  110. 4:05written. What did all that mean? Both
  111. 4:08gave rise to two schools, two
  112. 4:09diametrically opposed ways of
  113. 4:10understanding the scaffolding of the
  114. 4:12cosmos. Today, this question remains
  115. 4:15open as a possible integrative solution
  116. 4:17appears halfway, one that emerged three
  117. 4:20centuries before the invention of
  118. 4:22quantum mechanics. 1650. We travel to
  119. 4:25Germany. The Baroque of the 17th
  120. 4:27century, a style marked by rupture. We
  121. 4:30move from the vital optimism of the
  122. 4:32Renaissance to the pessimism typical of
  123. 4:35an era marked by wars, famines, and
  124. 4:37disease. Charles V yearns to unify the
  125. 4:40Christian world under one banner, the*
  126. 4:42universitas christiana*, only to watch
  127. 4:44the Reformation shatter his dreams
  128. 4:46before his eyes. He and his successors,
  129. 4:49Philips II, III, and IV, who are the
  130. 4:51Spanish Habsburgs, will see how
  131. 4:53Hispanic hegemony vaporizes in a
  132. 4:54century dominated by religious wars. In
  133. 4:58those 100 years, there were not even 10
  134. 5:00years of peace, while illustrious
  135. 5:02figures of the period like Quevedo sang
  136. 5:04of the decadence of Spain and the
  137. 5:06suffering of its people, who saw their
  138. 5:08lives ruined more and more.
  139. 5:10I looked upon the walls of my homeland.
  140. 5:13If once strong, now crumbled by the
  141. 5:16passage of time, weary from the one
  142. 5:18whose courage now expires. The most
  143. 5:21powerful nation in the world at that
  144. 5:23moment was bleeding out in Milan and
  145. 5:25Naples against the France of Francis I,
  146. 5:26against the Protestant princes in the
  147. 5:28empire, or the Ottomans in the Caucasus
  148. 5:30and the Mediterranean. The Thirty Years
  149. 5:32'War, which ended at the close of the
  150. 5:34century, is a symbolic turning point.
  151. 5:36Europe became even more fragmented as
  152. 5:39we reached the peak of the Baroque,
  153. 5:41which witnessed a century stained with
  154. 5:43blood. Thus, in philosophy, that path
  155. 5:45was replicated. From a medieval
  156. 5:47scholasticism centered on the divine,
  157. 5:49to a colorful, magical Renaissance full
  158. 5:52of symbolism, to a more earthly, raw,
  159. 5:54and real Baroque. Thus, we moved from
  160. 5:57the sums of Saint Thomas to the
  161. 5:59Neoplatonism of Ficino, until arriving
  162. 6:01at a new philosophy: the rational
  163. 6:03school, that of Descartes. His
  164. 6:05successors—Bacon, Spinoza, and of
  165. 6:07course Newton—with a new tool in
  166. 6:09their hands, modern science, would give
  167. 6:11philosophy a much more worldly veneer.
  168. 6:14Atomism was recovered with Gassendi,
  169. 6:16among others. Advancements were made in
  170. 6:19astronomy and mechanics with Copernicus
  171. 6:21and Kepler, and with the seminal work
  172. 6:23of Newton—and by recovering the
  173. 6:25elements of Euclid as great examples—
  174. 6:27the aim was to renew philosophy: a
  175. 6:29logical, structured philosophy
  176. 6:30dominated by reason. A new way of doing
  177. 6:33philosophy was being founded. It was
  178. 6:35modern philosophy. Well, in this
  179. 6:38context, one of the successors of
  180. 6:40Descartes—another rationalist
  181. 6:42following in his wake—would arrive at
  182. 6:44an original, groundbreaking, and very
  183. 6:46avant-garde idea, so much so that it
  184. 6:48perhaps wouldn't make sense until today
  185. 6:51. Yes, I am speaking to you about one
  186. 6:53of the most brilliant people who has
  187. 6:55ever existed. A philosopher, logician,
  188. 6:57jurist, theologian, diplomat, writer,
  189. 6:59physicist, and also a great
  190. 7:01mathematician. He did it all, and he
  191. 7:02did it all very well. He only made one
  192. 7:05mistake, a big mistake: facing the
  193. 7:07great Newton. Perhaps that is why he is
  194. 7:10not as well known as he deserves,
  195. 7:12because in that fight the English lion
  196. 7:14won and made sure that his merits were
  197. 7:16downplayed until he died in the deepest
  198. 7:18decadence and oblivion. I am talking to
  199. 7:20you about the German genius Gottfried
  200. 7:21Leibniz. Leibniz was born in 1646. In
  201. 7:25the German city of Leipzig. A
  202. 7:26contemporary of Newton or Huygens. We
  203. 7:28are right in the middle of the
  204. 7:30scientific revolution. 100 years had
  205. 7:31passed since Copernicus, and a few
  206. 7:33decades since the revolutionary work of
  207. 7:35Kepler and Galileo as well. His father
  208. 7:37died when the German was 6 years old.
  209. 7:40So from childhood, and he was very
  210. 7:41precocious by the way, he had to learn
  211. 7:43everything on his own. His father and
  212. 7:46grandfather had been university
  213. 7:47professors, so he had a large library
  214. 7:49that he devoured in solitude since he
  215. 7:51was a child. His formal education would
  216. 7:54be in jurisprudence, eventually
  217. 7:55completing his doctorate. And here
  218. 7:58begins his particular journey rubbing
  219. 8:00shoulders with the European elites,
  220. 8:02aristocrats and kings, on a route
  221. 8:03through the most intellectual corners
  222. 8:05of Europe. From 1672 to 1676 he would
  223. 8:08reside in Paris as part of a diplomatic
  224. 8:11mission where he would personally meet
  225. 8:14Huygens or Malebranche. From there he
  226. 8:17would go to London, becoming a member
  227. 8:18of the Royal Society and establishing
  228. 8:20contact, for example, with Isaac Newton
  229. 8:21. He returns to his homeland to work
  230. 8:24for the Duke of Hanover as a palace
  231. 8:26librarian. On this return journey, he
  232. 8:28meets van Leeuwenhoek, the famous
  233. 8:30discoverer of the microscopic world,
  234. 8:32and Spinoza, the philosopher from The
  235. 8:34Hague, and was able to read firsthand
  236. 8:36the first manuscript of his Ethics, his
  237. 8:38great masterpiece. His constant grand
  238. 8:41travels would take him to Vienna, Rome,
  239. 8:43Naples, and Florence, some of the
  240. 8:44intellectual hubs of his world, the
  241. 8:46most active of his time. When in 1714
  242. 8:49George of Hanover becomes George I of
  243. 8:51England, the luck of Leibniz changes
  244. 8:54suddenly. The patrons who had protected
  245. 8:57him until then, as well as the numerous
  246. 8:59academies he himself had founded, now
  247. 9:01turn their backs on him. He died 2
  248. 9:04years later, in 1716, at 70 years of
  249. 9:06age, in complete solitude. It is said
  250. 9:09that only his secretary attended his
  251. 9:12funeral. Yes, part of his obscurity was
  252. 9:15caused by his clash with Newton, which
  253. 9:17we have already mentioned, which lasted
  254. 9:19more than a decade and which, given
  255. 9:20Newton's oppressive zeal, served not
  256. 9:22only to eliminate any merit in the
  257. 9:24development of calculus, but also,
  258. 9:26worse still, to tarnish and dim his
  259. 9:27figure. In part also because later
  260. 9:30history did not treat him too well.
  261. 9:32Ridiculed by Voltaire, misinterpreted
  262. 9:34by his disciples like Wolff. And
  263. 9:37finally, in part, I suppose due to pure
  264. 9:39bad luck, be that as it may, Leibniz
  265. 9:41died in total decline and his death was
  266. 9:43followed by oblivion. His ideas
  267. 9:45remained dimmed several decades later.
  268. 9:48His figure was not recovered for
  269. 9:49history until much later thanks to Kant
  270. 9:51, 50 years after his death, or even
  271. 9:53more importantly, Bertrand Russell in
  272. 9:551900. Today there is no doubt. Leibniz
  273. 9:58was a great genius. He invented
  274. 9:59infinitesimal calculus like Newton and,
  275. 10:01independently of him, also the binary
  276. 10:03system. He made great contributions to
  277. 10:06logic, and many physical phenomena,
  278. 10:08such as the law of conservation of
  279. 10:10energy—or the vis viva, as he called
  280. 10:12energy—bear his name. Politics, laws,
  281. 10:14jurisprudence. We find them in his
  282. 10:15thousands of written pages. They say he
  283. 10:18was the last great polymath, but it is
  284. 10:20in philosophy where his mark is most
  285. 10:22evident. His theory of knowledge with
  286. 10:25truths of reason and of fact, his own
  287. 10:28paths to the existence of God,
  288. 10:29rationally grounded by Leibniz, his
  289. 10:31vital optimism seen in his work*
  290. 10:33Theodicy*with that famous, "We live in
  291. 10:35the best of all possible worlds," which
  292. 10:38Voltaire would later ridicule in his
  293. 10:40work*Candide*following the 1755 Lisbon
  294. 10:42earthquake, or the famous principle of
  295. 10:44sufficient reason, according to which
  296. 10:46every effect, even if we do not know it
  297. 10:48, has its cause, its sufficient reason.
  298. 10:51Note that along with the principle of
  299. 10:53non-contradiction, as Leibniz indicated
  300. 10:56, they are the foundation of
  301. 10:57experimental science. In other words,
  302. 11:00it is no small feat; thousands upon
  303. 11:01thousands of pages collect his thought,
  304. 11:03but it is his system of the world, his
  305. 11:05ontology, and his metaphysics that
  306. 11:07stand out most: the theory of monads. A
  307. 11:09theory that, without him imagining it,
  308. 11:11yields intuitions about reality that
  309. 11:13could perhaps help us better understand
  310. 11:15the quantum world today. Thought that
  311. 11:18was 400 years ahead of its time. Yes,
  312. 11:21it's time to learn about quantum
  313. 11:22mechanics. Let's head to the golden age
  314. 11:24of physics. The 20th century. Quantum
  315. 11:26mechanics was founded in the 20th
  316. 11:28century upon finding an answer to three
  317. 11:30different enigmas of physics and seeing
  318. 11:32that their solutions have something in
  319. 11:34common. The word "quantum"—you're
  320. 11:36going to freak out. We start with the
  321. 11:38first enigma. 1875, Berlin. The
  322. 11:41anecdote is told that young, 17-
  323. 11:43year-old Max Planck, doubting what to
  324. 11:45do with his life, asks a physics
  325. 11:46professor what to study. It must have
  326. 11:49gone more or less like this.
  327. 11:51Master, I have doubts about what to do
  328. 11:53with my life.
  329. 11:54I see a lot of talent in you for
  330. 11:56mathematics.
  331. 11:56The truth is that I would like to study
  332. 11:58physics.
  333. 11:59No, that has no future. Everything that
  334. 12:01needs to be known is already known. A
  335. 12:03physicist today only works on getting a
  336. 12:05new decimal figure. He means there is
  337. 12:08no longer room for creative thought or
  338. 12:10theoretical work; there are no open
  339. 12:11enigmas, and basically everything is
  340. 12:13known. The brilliant ideas have already
  341. 12:15been had by Newton, Galileo, Faraday,
  342. 12:17Kelvin, or Maxwell. They had extracted
  343. 12:19all the oil and nothing else was left.
  344. 12:22All that remains, if anything, is to
  345. 12:24repeat measurements a little more
  346. 12:25precisely on things already known.
  347. 12:27Something similar is often cited about
  348. 12:29Lord Kelvin and other geniuses of the
  349. 12:31era like Michelson. Physics, they say,
  350. 12:33is finished. So you can imagine how
  351. 12:36ironic it would be that it was
  352. 12:37precisely that Max Planck, who
  353. 12:39stubbornly ignored his teacher to study
  354. 12:41his passion, physics, who would open
  355. 12:43Pandora's box. Let's move on. The year
  356. 12:46is 1894, Berlin. Planck is now a boring
  357. 12:49professor at the famous University of
  358. 12:51Berlin doing work, well, un-spectacular
  359. 12:53, mainly in thermodynamics, an area
  360. 12:56that wasn't very lively at the time.
  361. 12:58Then, a consortium of electric
  362. 12:59companies approaches the boring
  363. 13:01professor with a proposal: find a way
  364. 13:03to maximize the light emission of a
  365. 13:05lightbulb with the minimum amount of
  366. 13:07energy. Easy to apply the formulas and
  367. 13:09that's it, but that's how physicists
  368. 13:10are. Planck found a tiny pebble in his
  369. 13:13shoe on the simple mathematical path he
  370. 13:15had to take, so small that it didn't
  371. 13:17really prevent him from completing his
  372. 13:20task, but big enough to keep him awake
  373. 13:22at night. He could have perfectly
  374. 13:24ignored it, yes, but it bothered him,
  375. 13:26it distressed him. That little hole he
  376. 13:28found in the theory of thermodynamics
  377. 13:30would occupy all his thoughts from then
  378. 13:33on and lead him to a new world. That
  379. 13:36small problem he found is what is known
  380. 13:38today as the ultraviolet catastrophe.
  381. 13:40To summarize, so as not to get too
  382. 13:42long-winded, everything revolves around
  383. 13:44black bodies. A physical abstraction to
  384. 13:46study lightbulbs or stars. A black body
  385. 13:49is like an ideal black box that absorbs
  386. 13:50all the light that reaches it; it emits
  387. 13:52nothing. Easy, because if it is allowed
  388. 13:55to reach thermal equilibrium with the
  389. 13:56environment, that is, you wait a few
  390. 13:58seconds there quietly and make a little
  391. 13:59hole in the box, the energy trapped in
  392. 14:01the box due to its temperature comes
  393. 14:03out. Well, the curious thing is that
  394. 14:05stars and lightbulbs emit light as if
  395. 14:07they were a black body. So studying
  396. 14:09this black body theoretically and
  397. 14:11experimentally is a great way to do
  398. 14:13astronomy or get an electric company to
  399. 14:16fund your laboratory. Great. So anyway,
  400. 14:18what does Planck do? He starts studying
  401. 14:19this black body. And the truth is, he
  402. 14:21was not the first to do so. The German
  403. 14:22physicist, Robert Kirchhoff, had
  404. 14:24already done it in the 1850s, and
  405. 14:25nothing strange, everything was great.
  406. 14:27The shape of the black body radiation
  407. 14:28is something like this. For high and
  408. 14:30low frequencies, the radiation energy
  409. 14:32is small, with an intermediate peak
  410. 14:34that depends only on the body's
  411. 14:35temperature. Fascinating. This explains
  412. 14:38why a star is red, yellow, or blue
  413. 14:39depending on its temperature. It
  414. 14:41changes the position of the peak, that
  415. 14:43is, the frequency at which it emits the
  416. 14:44most and therefore its color. Or the
  417. 14:46expression "red hot." It is also a
  418. 14:47consequence of this that metal turns
  419. 14:49red when you heat it, or the very color
  420. 14:51of flames. Everything is an effect of
  421. 14:53temperature on the color of radiation.
  422. 14:56But let's not digress any further.
  423. 14:57Kirchhoff experimentally obtains the
  424. 15:00black body curve, and look out, because
  425. 15:02a few years later the theory to study
  426. 15:04it appears—the theory of radiation,
  427. 15:06thanks to the mathematical genius James
  428. 15:09Clerk Maxwell. He comes up with these
  429. 15:11four equations, which were originally
  430. 15:13eight, describing the radiation of
  431. 15:15bodies, electromagnetic radiation. And
  432. 15:17here comes the fun problem. When
  433. 15:20Maxwell's theory, which was otherwise
  434. 15:21fantastic and wonderful, is applied to
  435. 15:23the black body problem, everything goes
  436. 15:24to pieces. The equations tell us that
  437. 15:27it should be easier for a black body to
  438. 15:30radiate energy at high frequencies.
  439. 15:32Basically, everything is fine here with
  440. 15:34the theory, great here, but when it
  441. 15:36gets to here, things go completely off
  442. 15:38the rails. And since this region of the
  443. 15:41spectrum is known as the ultraviolet
  444. 15:43region, and this here is madness, this
  445. 15:44is known as the ultraviolet catastrophe
  446. 15:46. Well, this is the pebble in the shoe
  447. 15:49that Planck saw, which others saw and
  448. 15:51basically knew about, but no one gave
  449. 15:53it any importance. In fact, an
  450. 15:54intermediate solution had already been
  451. 15:56found to get by. Wien found a formula
  452. 15:59that fits well. The physicist Wien
  453. 16:04found a formula that fits well on this
  454. 16:06part of the curve, and Rayleigh and
  455. 16:08later Jeans found another for this part
  456. 16:10of the curve. So, mathematically, there
  457. 16:12was no problem. Planck could have done
  458. 16:14the calculation they asked for, cashed
  459. 16:16his check, smoked a cigar, and that
  460. 16:18would be it, but no, those formulas had
  461. 16:20no physical explanation. Besides, there
  462. 16:22were two of them, and that is very
  463. 16:23strange. This bothered Planck; it
  464. 16:25wouldn't let him be at peace, it
  465. 16:27obsessed him. He wanted to get to the
  466. 16:29bottom of the matter, and the truth is
  467. 16:31he was the right person to do it,
  468. 16:32because Planck, besides being an expert
  469. 16:34in electrodynamics, was also an expert
  470. 16:36in statistical mechanics. Carnot,
  471. 16:39Clausius, Kelvin, and other geniuses of
  472. 16:41the first half of the 19th century had
  473. 16:43arrived at the rules of thermodynamics
  474. 16:45heuristically—that is, by trial and
  475. 16:47error. Those famous four laws. They
  476. 16:49achieved it through trial and error,
  477. 16:51more from engineering than from physics
  478. 16:54, driven by the industrial revolution
  479. 16:56they were fueling. And its center was
  480. 16:58the steam engine. Their physics was
  481. 17:00simple at that time. A gas is heated,
  482. 17:03it expands, there is temperature,
  483. 17:04volume, pressure, and all that. The gas
  484. 17:06is treated as a whole, as a single
  485. 17:08element. And the good thing is that the
  486. 17:09theory worked, but no one really
  487. 17:11understood what was happening. Well,
  488. 17:13all this would change a few years later
  489. 17:15, when some physicists thought of
  490. 17:17applying the concept of the atom to
  491. 17:19thermodynamic processes. A gas is no
  492. 17:23longer a single mass; now it is a huge
  493. 17:25collection of independent and
  494. 17:26indestructible atoms, bouncing and
  495. 17:28colliding with each other and the walls
  496. 17:31. Pressure is the product of the
  497. 17:33impacts, and temperature is the speed
  498. 17:34of the atoms. Now everything finally
  499. 17:36makes sense. The laws of thermodynamics
  500. 17:39emerge naturally from those collisions
  501. 17:41between atoms. A new branch of physics
  502. 17:44was born, the mother of thermodynamics.
  503. 17:46It is statistical mechanics. Well, the
  504. 17:48fathers of this new branch were the
  505. 17:51same James Clerk Maxwell from before,
  506. 17:53and especially Ludwig Boltzmann. And
  507. 17:56that was great, because by coincidence
  508. 17:58in the 70s, Boltzmann had worked at the
  509. 18:00University of Berlin, so his
  510. 18:01statistical theory was familiar to
  511. 18:03Planck throughout his studies. There,
  512. 18:06Planck would find the inspiration to
  513. 18:07solve the black body problem. Planck
  514. 18:11began his attempts in the summer of
  515. 18:121900 with a model of electromagnetic
  516. 18:14oscillators on the walls that emitted
  517. 18:16radiation like a Maxwell wave, but he
  518. 18:18achieved nothing. In October, not being
  519. 18:22much of a fan of Boltzmann's methods,
  520. 18:24in desperation, he repeated his
  521. 18:25oscillator method, but in a
  522. 18:27Boltzmann-like way, cutting energy into
  523. 18:29pieces, and surprisingly, it worked.
  524. 18:32December 14, 1900, without truly
  525. 18:34understanding what he was doing, he
  526. 18:36presented it at a meeting of the Berlin
  527. 18:38Academy of Sciences. It was a great
  528. 18:41success, but he knew it came at a high
  529. 18:43price. Boltzmann's hypothesis, which
  530. 18:46also worked, implied an ad hoc
  531. 18:48hypothesis to make things fit. This is
  532. 18:51the new distribution, intermediate
  533. 18:53between Wien's and Rayleigh-Jeans',
  534. 18:55which finally fits everything seen in
  535. 18:57the laboratory. Here you can see
  536. 18:59Boltzmann's mark, his constant. Now
  537. 19:01look at this here, H times frequency.
  538. 19:04Those are the chunks of energy from
  539. 19:06Boltzmann's method. He called them
  540. 19:08energy elements. We know this H as
  541. 19:11Planck's constant in his honor. This
  542. 19:14time we can finally say it. The H was
  543. 19:15missing. Anyway. Energy goes in jumps.
  544. 19:19These are the quanta of energy. This is
  545. 19:21the first quantum equation in history.
  546. 19:23What followed was silence. No one
  547. 19:26seemed to fully understand the
  548. 19:27implication of such a radical proposal.
  549. 19:30In fact, another 5 years would have to
  550. 19:32pass for someone to take up the
  551. 19:33gauntlet. 1905. Einstein, a failed
  552. 19:36student who leaves university and
  553. 19:38cannot find a job. Finally, in
  554. 19:41desperation, with a friend's help, he
  555. 19:43gets a random job as a third-class
  556. 19:44expert technician at a patent office in
  557. 19:47Bern. A boring job that didn't have
  558. 19:50much to do with physics, but enough to
  559. 19:52marry his girlfriend and live together.
  560. 19:55You already know who I'm talking about,
  561. 19:57obviously it's Albert Einstein, for on
  562. 19:59one of those boring office days, after
  563. 20:02he had finished his routine work, he
  564. 20:04has a small but brilliant idea. We move
  565. 20:06on to the second enigma. 1899, just 6
  566. 20:09years earlier, German physicist Philip
  567. 20:12Lenard, who by the way would later
  568. 20:14become the leader of Nazi physics and
  569. 20:16start a campaign to sink Einstein and
  570. 20:18his "Jewish physics," well, that year
  571. 20:20he conducts an interesting experiment,
  572. 20:23a circuit that doesn't close with some
  573. 20:25plates. Lenard saw that if you shine an
  574. 20:28ultraviolet light lamp, suddenly the
  575. 20:30circuit closes and a current appears.
  576. 20:33He had discovered the photoelectric
  577. 20:35effect. And everything is fine because
  578. 20:37there is nothing surprising here for
  579. 20:38physics. The physics that was known at
  580. 20:40that time. An electron requires energy
  581. 20:42to make this jump. Light has energy, so
  582. 20:44like Super Mario who eats a mushroom
  583. 20:46and grows, the electron eats that light
  584. 20:49to make the jump and the circuit closes
  585. 20:51. How nice. The shock comes from a
  586. 20:54subtle, but important detail. If you
  587. 20:56now increase the distance between the
  588. 20:58plates, the jump is greater. One would
  589. 20:59think that to cover the jump you have
  590. 21:01to increase the light intensity, but in
  591. 21:02reality, you don't achieve anything
  592. 21:04with that. No, you don't have to
  593. 21:05increase the intensity of the light to
  594. 21:07manage to make that jump. What it needs
  595. 21:09is not more intensity, but a higher
  596. 21:11frequency of light. With Maxwell's
  597. 21:14theory under his arm, this made no
  598. 21:16sense. 1899, this was a great enigma,
  599. 21:19for just 5 years later, this 24-
  600. 21:22year-old, rejected by every European
  601. 21:24university, came up with a solution. If
  602. 21:29Planck is right, he thought, the energy
  603. 21:30of light depends on its frequency and
  604. 21:32travels in packets. With this quantum
  605. 21:35formula, higher frequency, more energy.
  606. 21:37The mystery with this solves itself.
  607. 21:39It's obvious. Simple solution, yes, but
  608. 21:42very crazy. The problem is solved
  609. 21:45naturally and mathematically
  610. 21:46comfortably. Yes, it's true. But in
  611. 21:49doing so, another much, much bigger
  612. 21:51problem arises. Hadn't we said after
  613. 21:53more than two centuries of fighting
  614. 21:55that light was a wave? Contrary to what
  615. 21:58Newton said, Young had proven it with
  616. 22:00his double-slit experiment. This
  617. 22:02happens because light is a wave. Case
  618. 22:04closed. Well, Einstein reopened the
  619. 22:07case in 1905. Now, according to him,
  620. 22:10light is a particle. A quantum. What
  621. 22:12the hell is that? Well, here is the key
  622. 22:14. It's solved by adding the word "also.
  623. 22:16" Light also...is a particle; that is,
  624. 22:19light is a wave and it is a particle.
  625. 22:22Tremendous. If you notice, the black
  626. 22:25body and the photoelectric effect are
  627. 22:27two enigmas with the same solution:
  628. 22:28quanta. Energy is quanta, light seems
  629. 22:31to be quanta. But what is quantum
  630. 22:33mechanics? Where does all this come
  631. 22:35from? That is something that, by then,
  632. 22:37in 1905, no one could answer. For the
  633. 22:40moment, it was stuff about energy and
  634. 22:41light, but they couldn't say much more.
  635. 22:44To decipher it, we must meet another of
  636. 22:45the great protagonists of this story,
  637. 22:47who also solves the third enigma. I’m
  638. 22:49talking about the unique Danish genius
  639. 22:51Niels Bohr. But before we get to know
  640. 22:53him well, let's take another leap in
  641. 22:54history. 1896, Paris: Henri Becquerel
  642. 22:57is studying phosphorescence, that is,
  643. 22:59how an object you put in the sun then
  644. 23:01emits light, which wasn't anything
  645. 23:03spectacularly rare back then. What was
  646. 23:06spectacular was the serendipity of the
  647. 23:08story. Friday afternoon, a typical
  648. 23:09overcast, gloomy day in Paris. Facing
  649. 23:11the uncontrollable, Henri Becquerel
  650. 23:13gives up. Well, clearly, it’s not a
  651. 23:15day to conduct light experiments.
  652. 23:17Better to go have some vermouth at the
  653. 23:18bar on the corner. He takes his
  654. 23:20phosphorescent salts and leaves them in
  655. 23:22an office drawer. Curiously, he placed
  656. 23:24a photographic plate protected by
  657. 23:26double black paper on top. On Monday,
  658. 23:28when he arrived at the office, surprise
  659. 23:30: the salts had left a mark on the
  660. 23:32photograph. But, how? But if they
  661. 23:34haven't seen the light, how can that be
  662. 23:35? Besides, they had two layers of black
  663. 23:37protective paper. Well, today we have
  664. 23:39an obvious answer. Becquerel's salts
  665. 23:41weren't like your table salt—that is,
  666. 23:43chlorine and sodium. They were uranium
  667. 23:45salts. Becquerel had just discovered
  668. 23:48radioactivity. Something that was
  669. 23:50absolutely insane compared to what was
  670. 23:51known at the time. Energy was coming
  671. 23:52out of nowhere. It went against
  672. 23:54Leibniz's vis viva, Newton's mechanics,
  673. 23:56everything. Well, the key to
  674. 23:59understanding it would appear on the
  675. 24:01other side of the English Channel just
  676. 24:02one year later. 1897, London. Joseph
  677. 24:06John Thomson gives a historic lecture
  678. 24:08at the Royal Institution in London.
  679. 24:10Atom is a Greek word; it comes from "
  680. 24:13tomos," which means to cut, and "a,"
  681. 24:15which is a prefix of negation. An atom
  682. 24:18is something that cannot be cut. The
  683. 24:20atoms of philosophy, from Leucippus and
  684. 24:22Democritus to Epicurus and Titus
  685. 24:24Lucretius, were just that: minimal
  686. 24:26components of matter that, by
  687. 24:27connecting and remixing in the void,
  688. 24:29gave rise to everything that exists.
  689. 24:32This was a theory that, in the face of
  690. 24:34Aristotle's continuism, hardly had any
  691. 24:36impact until modernity. Gassendi
  692. 24:38recovered it at the dawn of the
  693. 24:40scientific revolution. Dalton gave it a
  694. 24:42serious chemical form, although it did
  695. 24:44not impose itself as a material reality
  696. 24:46until Boltzmann and his statistical
  697. 24:48mechanics and Einstein's Brownian
  698. 24:50motion in 1905. The fact is that by the
  699. 24:53time of Becquerel's 1896, atoms were
  700. 24:55consolidated in science. They are the
  701. 24:59basic elements of nature according to
  702. 25:00Mendeleev's periodic table, such that
  703. 25:02by joining atoms like Lego pieces we
  704. 25:04form everything we see around us. But
  705. 25:06if we asked what an atom is, well, they
  706. 25:08looked to the past at Democritus and he
  707. 25:10would answer that it is something
  708. 25:12unbreakable. An atom cannot be divided.
  709. 25:15They lied to you. So let's return to
  710. 25:16that lecture at the Royal Institution
  711. 25:18in London. That day, history was being
  712. 25:20made before a surprised audience.
  713. 25:22Joseph John Thomson showed that
  714. 25:24everyone was wrong. With a vacuum tube,
  715. 25:27he managed to measure a particle
  716. 25:29smaller than the atom. The atom can
  717. 25:31indeed be broken. Friends, he has
  718. 25:33demonstrated the existence of the
  719. 25:34electron. Okay, we now have another
  720. 25:36ingredient to understand what on earth
  721. 25:38was happening with this quantum
  722. 25:40mechanics thing. Energy is quanta and
  723. 25:42the atom can be broken. Then Thomson
  724. 25:45thinks, if the atom can be broken,
  725. 25:47could it be because it has a structure?
  726. 25:50Thus he is the first to propose what an
  727. 25:53atom is like. He gives us the first
  728. 25:55atomic model. Thomson imagines that an
  729. 25:58atom is like a solid mass of positive
  730. 26:00charge with negative point-like
  731. 26:01inclusions, like raisins in a muffin.
  732. 26:04Those would be his electrons. "This is
  733. 26:06not true," someone would have to tell
  734. 26:08him in a strange New Zealander accent.
  735. 26:10One of the greatest experimental
  736. 26:11geniuses in history. By the way, one of
  737. 26:13Thomson's students in London, the
  738. 26:15good-natured giant Ernest Rutherford.
  739. 26:18Let's take a little jump into the
  740. 26:19future. The year is 1909, Manchester;
  741. 26:22Rutherford has left Thomson's
  742. 26:23laboratory in London and is working in
  743. 26:25Manchester with his students Geiger and
  744. 26:28Marsden. He then proposes an experiment
  745. 26:30that the three of them carry out, one
  746. 26:32that is as famous as it is beautiful.
  747. 26:34They launch radioactivity particles,
  748. 26:35like those of Becquerel, against a thin
  749. 26:37gold foil and see what is received by a
  750. 26:39detector behind it. What they observe
  751. 26:41is very strange. Most of the particles
  752. 26:43pass through the gold foil and very few
  753. 26:45bounce straight back. Rutherford turns
  754. 26:48his results over in his mind and
  755. 26:50realizes that his mentor Thomson must
  756. 26:52be in grave error. This is how
  757. 26:54Rutherford proposes another way of
  758. 26:56understanding the atom. I'm sure this
  759. 26:58one seems more natural to you now. The
  760. 26:59atom cannot be a solid sphere. Of
  761. 27:02course, most of the particles pass
  762. 27:03through the atom; it must be
  763. 27:05essentially empty. So he proposes a
  764. 27:08small, positive nucleus with electrons
  765. 27:10orbiting around it. This is a new
  766. 27:14atomic model, Rutherford's atomic model
  767. 27:16. Don't be impatient; we're almost
  768. 27:18there. Okay, good. This model of the
  769. 27:20atom has two things, one very good and
  770. 27:22one very bad. The good part is this.
  771. 27:24This would be an atom and this is the
  772. 27:26solar system. Don't you think they look
  773. 27:28a lot alike? What's more, this is one
  774. 27:30of my favorite memes, I love it. And it
  775. 27:33makes us notice the similarity between
  776. 27:35the law of gravity and the electric
  777. 27:37force of the atom. Mathematically, they
  778. 27:39are very similar. I mean, it was all
  779. 27:41set. An atom is a miniature solar
  780. 27:43system. Same system and same laws. And
  781. 27:46this is good news. Copy-paste and
  782. 27:47that's it. The bad part, because
  783. 27:49there's always a bad part, is that it
  784. 27:51ruined everything. It was the end of
  785. 27:53matter. According to what was known
  786. 27:56about the theory of electricity at that
  787. 27:58time, 1910, in this solar system-atom
  788. 28:00analogy, there is a small but important
  789. 28:02difference between an electron and a
  790. 28:05planet. A charged particle that rotates
  791. 28:07emits radiation, light, just by the
  792. 28:09fact of rotating. This was something
  793. 28:11that was already known. A planet, on
  794. 28:13the other hand, does not. But what does
  795. 28:14a particle do when it emits light? It
  796. 28:16loses energy. And what happens when an
  797. 28:18orbiting system loses energy? Well, it
  798. 28:20lowers its orbit. But as it rotates, it
  799. 28:22keeps losing energy, lowering its path
  800. 28:24more and more and more and more until
  801. 28:25the collision. The electron would
  802. 28:27spiral down until it crashed into the
  803. 28:28nucleus. The atom would disappear, and
  804. 28:30this is something that, well, doesn't
  805. 28:32happen; we are alive. So this theory
  806. 28:34necessarily had to be wrong. But why?
  807. 28:37What is an atom like then? This is,
  808. 28:40friends, the third great enigma. The
  809. 28:43solution, as with the previous enigmas,
  810. 28:45would come from an audacious, brave,
  811. 28:47and highly educated person, up to date
  812. 28:49with the scientific innovations of his
  813. 28:51years, who would later stand as the
  814. 28:53beacon of his entire generation, father
  815. 28:54to physicists for several decades, and
  816. 28:56the leading light of the quantum
  817. 28:58movement. I am speaking of the Dane
  818. 29:01Niels Bohr, slow to develop his ideas
  819. 29:03and even clumsier at explaining them.
  820. 29:05His wife wrote the scientific articles
  821. 29:07that he dictated to her. He was
  822. 29:09hopeless with experiments, but had a
  823. 29:10special talent for connecting ideas,
  824. 29:12for seeing beyond what anyone else
  825. 29:14could see. Today it is said that this
  826. 29:15genius of physics was actually more of
  827. 29:17a philosopher than a scientist. He came
  828. 29:19from a scholarly family that was also
  829. 29:21very athletic. Bohr was a prominent
  830. 29:23soccer goalkeeper, and his brother even
  831. 29:25went with Denmark to the 1906 Olympic
  832. 29:26Games without, of course, ever ceasing
  833. 29:28to be a nerd. His brother was also a
  834. 29:30great mathematician, and Bohr would
  835. 29:32write equations on the goalpost when
  836. 29:34his team was on the attack. He would
  837. 29:35become so absorbed that his fans had to
  838. 29:37warn him when there was a counterattack
  839. 29:39so he would return to the goal. And as
  840. 29:41a physicist, Bohr had another important
  841. 29:44virtue for being in this story. He was
  842. 29:46in the right place, at the right time,
  843. 29:48and surrounded himself with the best
  844. 29:50minds. After graduating as a physicist
  845. 29:52in Copenhagen, he first goes to
  846. 29:54Cambridge to research in the most
  847. 29:56important laboratory of the time, the
  848. 29:57Cavendish Laboratory, under the
  849. 29:59tutelage of the father of electrons,
  850. 30:01J.J. Thomson. There he meets Ernest
  851. 30:03Rutherford himself, so he decides to
  852. 30:05follow him to Manchester. In short,
  853. 30:07Bohr is following the trail of this
  854. 30:09great enigma alongside its leading
  855. 30:11figures. It's like playing soccer first
  856. 30:13with Messi and then with Cristiano.
  857. 30:141911, Manchester; it is there, working
  858. 30:17with Rutherford, Geiger, and George
  859. 30:19Darwin, Charles's grandson, that Bohr
  860. 30:21comes up with a tremendous idea. He
  861. 30:23takes up the enigma that his mentors
  862. 30:25had left on the table. Why doesn't an
  863. 30:27atom destroy itself? Well then, let's
  864. 30:29take the new quantum ideas. He thought,
  865. 30:33if Planck proved that energy moves in
  866. 30:35quantum leaps and Einstein that light
  867. 30:37follows leaps, couldn't it be that the
  868. 30:39orbits of atoms also take leaps? Well,
  869. 30:42here comes his master solution. He said
  870. 30:44to himself,
  871. 30:46an electron cannot be at any distance
  872. 30:48from the nucleus, the way a planet can
  873. 30:50be at any distance from the Sun. There
  874. 30:52will only be quantum orbits permitted
  875. 30:54by this rule. This is Bohr's rule
  876. 30:57solved. In those orbits, the electron
  877. 30:59does not radiate energy and the atom
  878. 31:01does not die; it remains stable, it is
  879. 31:03saved. The rest of the orbits are
  880. 31:05simply forbidden. And so, why aren't
  881. 31:07all the electrons in the orbit closest
  882. 31:09to the nucleus? He asks himself. Well,
  883. 31:12Bohr has an answer.
  884. 31:14The orbits fill up, so as you put
  885. 31:16electrons into the atom like an
  886. 31:18audience in a theater, they have to
  887. 31:20move up to other tiers as the lower
  888. 31:22ones fill up. This, friends, is the
  889. 31:26model of orbitals. It is the Bohr
  890. 31:28atomic model, which comes with an extra
  891. 31:31gift. By 1910, experimental physicists,
  892. 31:35knowing that everything is made of
  893. 31:37atoms, were already performing intense
  894. 31:39experiments to understand them and
  895. 31:41found that the best method for studying
  896. 31:44the atom is spectroscopy: shooting
  897. 31:46radiation, or light, at an atom and
  898. 31:48observing what happens. When doing this
  899. 31:52, they noticed that the atom only
  900. 31:53responded to certain frequencies of the
  901. 31:55light they used, only a few of them.
  902. 31:58With this, experimentalists filled out
  903. 32:00tables and graphs like this one, where
  904. 32:02they recorded the energy levels that
  905. 32:05the atom preferred. Well, with Bohr’s
  906. 32:07model, there is now an explanation for
  907. 32:09these preferred energy levels of the
  908. 32:11atom. Bohr says an electron is in an
  909. 32:13energy level. If it receives radiation,
  910. 32:15it consumes it like a Super Mario
  911. 32:17mushroom and jumps to the next level.
  912. 32:19Or the opposite can happen. An electron
  913. 32:21is in a higher level than it belongs,
  914. 32:23it returns to its original level and
  915. 32:25emits the excess energy. With this, it
  916. 32:27is now possible to explain those
  917. 32:28preferred energies of the atom. They
  918. 32:30are the jumps between its orbits.
  919. 32:32Mystery solved, the third one. And with
  920. 32:35this, friends, the first quantum
  921. 32:37revolution comes to a close, taking
  922. 32:39place between 1900, when Planck
  923. 32:41released the first publication on the
  924. 32:43quantum nature of radiation, and 1912,
  925. 32:45when Bohr came up with his atomic
  926. 32:47theory based on this quantum physics.
  927. 32:49And now, take note. We now have a
  928. 32:51better definition of what quantum
  929. 32:53mechanics is. It is the theory that
  930. 32:55explains the discontinuous nature of
  931. 32:57energy, Planck’s little jumps, of
  932. 32:58light, Einstein’s work, and, notably
  933. 33:00thanks to Bohr, of matter as well. The
  934. 33:03world is also quantum, discontinuous;
  935. 33:05meaning not only radiation and energy,
  936. 33:07but also atoms and molecules follow
  937. 33:10little jumps. Those quantum rules. This
  938. 33:13, friends, is quantum mechanics. To
  939. 33:15summarize in very few lines, as when I
  940. 33:17asked Wescol, "What is quantum
  941. 33:19mechanics?" He told me, "Well, it's the
  942. 33:21physics behind everything, because it's
  943. 33:22the physics of what makes up our world,
  944. 33:24of the smallest things that exist."
  945. 33:26They are the rules followed by the two
  946. 33:28elements that form the world: radiation
  947. 33:30and matter. Okay, yes, those are many
  948. 33:32ideas I've thrown at you, very
  949. 33:33concentrated. If your head hurts,
  950. 33:35it’s normal. If you got lost, it’s
  951. 33:37also normal. The first time you hear
  952. 33:39all this, it sounds alien. In summary,
  953. 33:42three revolutions in one. Planck’s
  954. 33:44regarding energy, Einstein’s
  955. 33:45regarding light, and Bohr’s regarding
  956. 33:47matter. All three, as you saw, with
  957. 33:48something in common. that require that
  958. 33:51H, Planck's constant, which tells us
  959. 33:52that everything happens in little jumps
  960. 33:53, those are quantum leaps. Today this
  961. 33:56triple revolution is known as the first
  962. 33:58quantum revolution because, yes, you
  963. 34:00guessed it, there is a second one. The
  964. 34:03fact is that, more or less at this
  965. 34:05point, people knew what quantum
  966. 34:06mechanics was, but not the why, or
  967. 34:08where all this came from. That is to
  968. 34:09say, they were looking for something
  969. 34:11similar to Newton's laws, a complete
  970. 34:13system of laws to explain why these
  971. 34:15things happen, but obviously applied to
  972. 34:17quantum phenomena. So the search begins
  973. 34:19. But before reaching the solution,
  974. 34:21there is basically a gap, a void of
  975. 34:23about 10 years in which two things
  976. 34:25happen. On one hand, experimental
  977. 34:27physicists rack their brains measuring
  978. 34:29those atomic spectra. They realize that
  979. 34:32the key to understanding everything
  980. 34:34lies there, in those energy jumps of
  981. 34:36the electrons. So they start measuring
  982. 34:38like crazy. And with those data, the
  983. 34:41theorists start making tables and
  984. 34:42looking for some relationship, some
  985. 34:44order behind the tangle of numbers,
  986. 34:45something to explain it all. Imagine,
  987. 34:48without success. On the other hand, a
  988. 34:50new generation of physicists emerges.
  989. 34:52Left behind are Einstein, Rutherford,
  990. 34:53Bohr, or Planck, the protagonists of
  991. 34:55the First Revolution. Some simply
  992. 34:57disappear from the scene like Planck;
  993. 34:59others become guides or mentors for the
  994. 35:01second, like Einstein or Bohr. Instead,
  995. 35:03other protagonists now arrive, a new
  996. 35:05generation. They are young. At this
  997. 35:08point, what happens is very interesting
  998. 35:09. They are born already with this new
  999. 35:11vocabulary. Jumps, energy lines,
  1000. 35:13quantum. What was alien to Einstein or
  1001. 35:16Planck is no longer such a strange
  1002. 35:18world to them. It is the world they
  1003. 35:20already study in their physics
  1004. 35:21textbooks; it becomes natural to them.
  1005. 35:24These youngsters are Heisenberg, Pauli,
  1006. 35:25Fermi, Dirac, Jordan; they will be the
  1007. 35:27new protagonists of the story. But
  1008. 35:30before we get there, since your brain
  1009. 35:32is surely more than fried, it's worth
  1010. 35:34taking a little break from physics to
  1011. 35:36return to the thread we left loose at
  1012. 35:38the beginning. Remember that German
  1013. 35:41sage who knew everything. Law, physics,
  1014. 35:44logic, mathematics, but above all,
  1015. 35:45philosophy. What had happened to him?
  1016. 35:47We had left him in his philosophical
  1017. 35:49thought, in his philosophical system.
  1018. 35:50We are in the second half of the 17th
  1019. 35:52century. Leibniz, as a good rationalist
  1020. 35:55, takes up the line of thought of
  1021. 35:57Descartes, what he calls the new
  1022. 35:59philosophy, but he actually creates his
  1023. 36:01new system at a point by breaking with
  1024. 36:03him, moving away from his system, from
  1025. 36:05his mentor. And it was thanks to his
  1026. 36:08work in physics. Yes, our beloved
  1027. 36:10physics. Leibniz is a child of that
  1028. 36:12historical moment, the scientific
  1029. 36:13revolution; he is a contemporary of
  1030. 36:15Newton and lived a few years after
  1031. 36:16Kepler or Galileo. And like them, he
  1032. 36:19himself works on the laws of motion. He
  1033. 36:21is the father of ideas such as momentum
  1034. 36:23or vis viva, energy. For it is while
  1035. 36:25working with these ideas that he
  1036. 36:27believes he sees a serious error in
  1037. 36:28Descartes. From physics, he finds a
  1038. 36:31crack in his system of the world.
  1039. 36:33Descartes founds his system first by
  1040. 36:35denying past tradition. The Greeks,
  1041. 36:37Aristotle, Plato, and all of them, whom
  1042. 36:40he considers surpassed in light of
  1043. 36:42modernity. Thus he tries to create a
  1044. 36:45system from scratch, ex nihilo, and
  1045. 36:47does so with a method based on doubt,
  1046. 36:49doubt as a method, methodical doubt.
  1047. 36:52From his first certainty, his famous
  1048. 36:54cogito ergo sum, he reaches his three
  1049. 36:56essences, the three things that exist
  1050. 36:58for him. The thinking self, which is
  1051. 37:00the res cogitans, reaches it through
  1052. 37:02clarity and distinctness. God, who is
  1053. 37:04the res infinita as the guarantor of
  1054. 37:06good and truth. And three, the physical
  1055. 37:09world, the res extensa, bodies, motion,
  1056. 37:11which are real by the very goodness of
  1057. 37:12God. Well then, Leibniz disagrees with
  1058. 37:15him on this point. That cannot be, he
  1059. 37:17tells himself, and he does so rooted in
  1060. 37:19physics. And inertia, what is it if not
  1061. 37:21that? He asks himself. Because of
  1062. 37:23inertia, for motion to occur, you need
  1063. 37:25to overcome resistance. You need
  1064. 37:27something external to extension. To
  1065. 37:29physics, something beyond it, which has
  1066. 37:32no geometric-mathematical nature,
  1067. 37:34something therefore metaphysical. You
  1068. 37:36need a force, from force, he concludes,
  1069. 37:39proceeds motion and extension.
  1070. 37:41Therefore, it must be above it. Thus,
  1071. 37:44the elements of reality, Leibniz thinks
  1072. 37:46, transcend time, space, and motion.
  1073. 37:49They are substances, the substances
  1074. 37:51behind the material, those elements of
  1075. 37:53Greek metaphysics that Descartes had
  1076. 37:55rejected. Yes, if Descartes
  1077. 37:58intentionally moved away from the
  1078. 38:00ancients whom he considered surpassed,
  1079. 38:02Leibniz, also a rationalist, denies his
  1080. 38:04master. Descartes proposes updating it
  1081. 38:08with an ingredient he takes from the
  1082. 38:10philosophical past of Aristotle and his
  1083. 38:12friends. It is substance. And what
  1084. 38:15would be the nature of this
  1085. 38:17non-material substance? It would be a
  1086. 38:19kind of force principle. They would be
  1087. 38:21metaphysical points, original forces.
  1088. 38:24He called them monads, the substances,
  1089. 38:27Leibniz's primal forces. And from his
  1090. 38:29own physics, the properties of these
  1091. 38:31monads would be understood. They would
  1092. 38:34be metaphysical points. Immaterial
  1093. 38:36centers of activity from which
  1094. 38:38everything would arise. They would be
  1095. 38:41like our psychic activity, unitary yet
  1096. 38:43varied and multiple with two activities
  1097. 38:45. There would be perception or
  1098. 38:48representation, which are internal
  1099. 38:49actions of the monad, and its appetites
  1100. 38:51. Each monad would represent all the
  1101. 38:54others, the entire universe, through
  1102. 38:56its relations with other monads. As he
  1103. 38:59says,
  1104. 38:59in every monad there is a cooperation
  1105. 39:02of all things. This is something
  1106. 39:05similar to Thales '"all in all" or the
  1107. 39:07Renaissance concept of man as a
  1108. 39:08microcosm. He would put it this way.
  1109. 39:11The present is pregnant with the future
  1110. 39:14.
  1111. 39:14In every instant lies the totality of
  1112. 39:16time. Something very interesting to
  1113. 39:18analyze in light of what we know today
  1114. 39:20about time and relativity, but that
  1115. 39:21would take us off topic. We return to
  1116. 39:24the monads and how they give rise to
  1117. 39:26reality. For Leibniz, God is the
  1118. 39:28primitive, original, and simple monad.
  1119. 39:30The others are created by Him. Of these
  1120. 39:33latter ones created by God, their
  1121. 39:35activity would be limited and therefore
  1122. 39:37imperfect. And that is what constitutes
  1123. 39:39materiality, the corruptible world,
  1124. 39:41which explains, for example, the origin
  1125. 39:42of evil. Here Leibniz is somewhat
  1126. 39:44attacked by the aporias of his own idea
  1127. 39:46. He has eliminated Descartes' dualism
  1128. 39:49of mind and matter. Now there are only
  1129. 39:52monads, but in doing so, he pays a high
  1130. 39:54price. His system has infinite and
  1131. 39:57isolated monads, but how are they
  1132. 39:59differentiated and how do they relate?
  1133. 40:01How do they give rise to thinking
  1134. 40:03matter like us? It is at this point
  1135. 40:05that he has a brilliant idea that today
  1136. 40:06we can review in light of quantum
  1137. 40:08physics. But before telling you about
  1138. 40:09it, let's return to Europe to complete
  1139. 40:11our story about quantum mechanics. We
  1140. 40:13return to the 20th century, but mind
  1141. 40:14you, we have jumped 10 years. We are
  1142. 40:16specifically in 1924. Remember that we
  1143. 40:20had left the scientists lost in 1912,
  1144. 40:22and we let those 10 years pass where
  1145. 40:24they tried to fit these quantum rules
  1146. 40:27and make sense of them. They had
  1147. 40:29accepted them. The world is like that,
  1148. 40:30but where did they come from? What was
  1149. 40:32happening in the atom? And to provide
  1150. 40:34an answer, they tried to perform
  1151. 40:35experiments with atoms, measuring those
  1152. 40:37energy lines one by one, because that's
  1153. 40:39how they were. They were searching for
  1154. 40:40a complete theory that would explain
  1155. 40:42everything. A Newton's law for atoms.
  1156. 40:44It would be quantum mechanics. What
  1157. 40:46they couldn't even imagine when they
  1158. 40:48were looking for it is that finding it
  1159. 40:49would only be the beginning of the
  1160. 40:50great problems. At this point, the
  1161. 40:52story divides in two. Two stories that,
  1162. 40:55although they travel in parallel and
  1163. 40:57often touch, converge, they become
  1164. 41:00forever irreconcilable. 1901, Munich
  1165. 41:02saw the birth of a child into a family
  1166. 41:04with an academic tradition, Werner
  1167. 41:06Heisenberg, brilliant in everything
  1168. 41:08from birth, the typical pedantic child
  1169. 41:10who does everything right. He played
  1170. 41:12the piano, beat everyone at chess, read
  1171. 41:13poetry and philosophy, and was even the
  1172. 41:15fastest in his class at sports, but he
  1173. 41:17especially had a supernatural talent
  1174. 41:19for mathematics. He handled
  1175. 41:20calculations and numerical games in a
  1176. 41:22truly astonishing way, and he did it as
  1177. 41:24if it were just a game. And he also had
  1178. 41:27another fine virtue that we've seen
  1179. 41:29before, that of always being in the
  1180. 41:30right place at the right time. And so,
  1181. 41:33when it came time to choose his studies
  1182. 41:35, he set his sights on physics. First
  1183. 41:36in Munich under the guidance of the
  1184. 41:38great physicist and even better teacher
  1185. 41:40Arnold Sommerfeld, later in Göttingen
  1186. 41:42with another of the great quantum
  1187. 41:43geniuses, Max Born. And finally, he
  1188. 41:45would complete the triangle in
  1189. 41:46Copenhagen with the sensei of quantum
  1190. 41:48physics, Niels Bohr, thus passing
  1191. 41:50through the three great cathedrals of
  1192. 41:51quantum mechanics: Munich, Göttingen,
  1193. 41:53and Copenhagen. And from the beginning,
  1194. 41:56he showed his great virtue: applying
  1195. 41:58his main talent, unique in the world,
  1196. 41:59his numerical vision to physical
  1197. 42:01problems. Physicists were struggling
  1198. 42:04with tables of quantum leaps, trying to
  1199. 42:06find an order, racking their brains
  1200. 42:08without finding anything. For him, a
  1201. 42:10lover of these mathematical challenges,
  1202. 42:13this was mere child's play. That is how
  1203. 42:15he found numerical relationships in
  1204. 42:17these tables that no one else could see
  1205. 42:18. His talent was exactly suited for
  1206. 42:20this task. In particular, he saw a
  1207. 42:22numerical relationship that became his
  1208. 42:24personal trademark. He noticed behind
  1209. 42:26these tables an order based on
  1210. 42:28half-integer numbers: one-half,
  1211. 42:29three-halves, five-halves. They were
  1212. 42:32like quantum numbers guiding the leaps.
  1213. 42:35With them, magically, things fell into
  1214. 42:37place. But he had no idea why it was
  1215. 42:39that way. Munich, Göttingen. To his
  1216. 42:41colleagues, obviously, his methods
  1217. 42:43seemed aberrant. He needed something
  1218. 42:46deeper to gain the approval of his
  1219. 42:48peers and be taken seriously. He needed
  1220. 42:52a quantum mechanics. This is how we
  1221. 42:54arrive at Copenhagen in 1925. He is
  1222. 42:57spending time there with Bohr, who had
  1223. 42:59invited him personally, very surprised
  1224. 43:01by the mathematical ability and deep
  1225. 43:03philosophical thought of this 24-
  1226. 43:05year-old. Toward the end of his stay,
  1227. 43:08Heisenberg suffered a terrible attack
  1228. 43:10of hay fever, a severe allergic
  1229. 43:12reaction, so to calm it, he asked for
  1230. 43:14two weeks of vacation. He needed a
  1231. 43:16place far from the pollen that was so
  1232. 43:17bothersome to him. A quiet place where
  1233. 43:20he could recover and think clearly
  1234. 43:22about all those numbers coming to his
  1235. 43:24mind. That is how he retreats. 15 days
  1236. 43:26alone on an island in northern Germany.
  1237. 43:28Helgoland, June 7, 1925. In solitude,
  1238. 43:33watching the waves break, surrounded by
  1239. 43:35nature and clean air, he finds the
  1240. 43:37health and tranquility to bring order
  1241. 43:39to everything swirling in his mind. In
  1242. 43:43those days, working with his
  1243. 43:45mathematical games, he formed new
  1244. 43:47tables that, when ordered correctly,
  1245. 43:49surprisingly made everything make sense
  1246. 43:51. Upon his return, it was later seen
  1247. 43:54that those tables were actually already
  1248. 43:56known mathematical tools: matrices.
  1249. 44:00Simply by taking Newton's law and
  1250. 44:02replacing quantities like position and
  1251. 44:04velocity with those tables, things
  1252. 44:06worked very well, and those strange
  1253. 44:09half-integer values he used—1/2, 3/2,
  1254. 44:115/2—were actually due to quantum spin
  1255. 44:13. He had created matrix quantum
  1256. 44:17mechanics. That fascinating work would
  1257. 44:20be published shortly after, in
  1258. 44:22September 1925, "Quantum-Theoretical
  1259. 44:24Re-interpretation of Kinematic and
  1260. 44:26Mechanical Relations," a historic
  1261. 44:27article that would mark the true
  1262. 44:29beginning of the quantum revolution.
  1263. 44:32Heisenberg was already a legend; he was
  1264. 44:34only 24 years old. Allow me just one
  1265. 44:37note; it is small, but very relevant to
  1266. 44:39this story. The key to arriving at his
  1267. 44:42idea of mathematical tables came from a
  1268. 44:44comment by a colleague, possibly his
  1269. 44:46friend Pauli.
  1270. 44:47If we only see the quantum jumps, which
  1271. 44:49is what we measure—the spectra—why
  1272. 44:51ask ourselves what the electron does
  1273. 44:53between the jumps?
  1274. 44:55What is an electron or an atom, deep
  1275. 44:56down? And what do they do when we
  1276. 44:58aren't looking at them? That was what
  1277. 45:00he was determined to answer. But
  1278. 45:02perhaps that was the problem. Perhaps
  1279. 45:04it is a question that makes no sense.
  1280. 45:06Perhaps it only makes sense to ask
  1281. 45:07about what we can see, what we can
  1282. 45:09measure. The quantum jumps. Those
  1283. 45:11things that we can actually measure, he
  1284. 45:13called observables. He thought of
  1285. 45:15creating a theory of observables and
  1286. 45:17nothing more. In fact, the tables he
  1287. 45:20made were of quantum jumps of those
  1288. 45:22observables, connecting the electron's
  1289. 45:24starting level with its arrival level.
  1290. 45:27Hold on to the seed of this idea,
  1291. 45:28because it will be fundamental to the
  1292. 45:30conclusion of the video at the end.
  1293. 45:31Heisenberg presents his idea. The
  1294. 45:33reaction on all fronts was triumphant,
  1295. 45:35and it would also trigger a creative
  1296. 45:37wave in Copenhagen, Munich, and
  1297. 45:39especially in Göttingen, where Pauli,
  1298. 45:41Born, and Jordan would get to work to
  1299. 45:43extract the full potential of Werner's
  1300. 45:45great idea. In a few weeks, Born and
  1301. 45:48Jordan systematized Heisenberg's
  1302. 45:50procedure, laying the foundations for
  1303. 45:53matrix mechanics. That same year,
  1304. 45:55Uhlenbeck and Goudsmit proposed the
  1305. 45:58existence of spin, which gives meaning
  1306. 46:00to the half-integer quantum values of
  1307. 46:02his mathematical games. And furthermore
  1308. 46:05, Dirac gives greater mathematical
  1309. 46:07breadth to the theory. The work was
  1310. 46:09finished. The wind seemed to be blowing
  1311. 46:12in Heisenberg's favor until, in early
  1312. 46:141926, his luck would suddenly change.
  1313. 46:171925, Zurich, Professor Erwin
  1314. 46:19Schrödinger is frustrated. He was one
  1315. 46:21of the great promises of physics and
  1316. 46:23philosophy. And at 37, he hadn't
  1317. 46:25achieved anything. While his
  1318. 46:27contemporaries, Einstein and Rutherford
  1319. 46:29, had triumphed very young—the most
  1320. 46:31productive age in physics, their
  1321. 46:33twenties—he had reached his 40s
  1322. 46:35almost buried in irrelevant physics
  1323. 46:37problems. He couldn't hit the mark; he
  1324. 46:39was pulling at threads that led nowhere
  1325. 46:41. In that year, 1925, he sees a thread
  1326. 46:44and decides to pull it to see what
  1327. 46:45happens. In the famous Annalen der
  1328. 46:47Physik, a curious article by an unknown
  1329. 46:49young physicist had just been published
  1330. 46:51. It was basically a copy of his
  1331. 46:53doctoral thesis, a document of about 70
  1332. 46:56pages titled simply, "On the Quantum
  1333. 46:58Theory." It was the doctoral thesis of
  1334. 47:00Louis de Broglie. Louis did not look
  1335. 47:02like a physicist of the time; he was
  1336. 47:04the son of a noble French family. He
  1337. 47:06would soon even acquire the title of
  1338. 47:08prince. He studied history to work as a
  1339. 47:11diplomat, but his brother Maurice, 17
  1340. 47:13years his senior and a physicist by
  1341. 47:15profession, managed to get him so
  1342. 47:16hooked on physics that he ended up
  1343. 47:18leaving the diplomatic profession aside
  1344. 47:20. Louis, once trained as a scientist,
  1345. 47:23would work during World War I on radio
  1346. 47:25communications from the Eiffel Tower.
  1347. 47:27After the wartime break, he decides to
  1348. 47:29undertake his doctoral thesis. He would
  1349. 47:31do it on quantum mechanics, following a
  1350. 47:34very simple idea he had—so simple
  1351. 47:36that its simplicity makes it brilliant.
  1352. 47:3920 years earlier, as we saw, in 1905,
  1353. 47:41Einstein surprised the world by saying
  1354. 47:43that light, which was supposed to be
  1355. 47:45waves, is also particles. It is dual,
  1356. 47:47one thing and the other. Well, Louis de
  1357. 47:50Broglie said in his thesis, if
  1358. 47:51something that is a wave is also a
  1359. 47:53particle, could it be that something
  1360. 47:55that is a particle should also be a
  1361. 47:57wave? This is absolutely fabulous
  1362. 48:01because we physicists love symmetry, we
  1363. 48:04love unification—that things that
  1364. 48:06don't look alike at all are suddenly
  1365. 48:08related. With this idea, he is unifying
  1366. 48:12, pairing up light and particles. Deep
  1367. 48:14down, he says they are the same thing,
  1368. 48:16but the idea was so extravagant and
  1369. 48:18strange that even his professors didn't
  1370. 48:19know what to do with it. They didn't
  1371. 48:22know how to evaluate it, whether it was
  1372. 48:24the idea of a madman or, instead, an
  1373. 48:25absolute genius. The thesis judges were
  1374. 48:28stunned. So his tutor, the famous
  1375. 48:30physicist Paul Langevin, makes a
  1376. 48:31decision: to pass the idea on to his
  1377. 48:33friend Einstein. To see what he thinks.
  1378. 48:36Einstein read it and was amazed. He
  1379. 48:38found it interesting, or rather, very
  1380. 48:40profound. With Einstein's support, the
  1381. 48:43thesis was approved without difficulty,
  1382. 48:45and the subsequent article on quantum
  1383. 48:47theory using De Broglie's hypothesis
  1384. 48:49was published in the Annalen der Physik
  1385. 48:52, an article that Erwin Schrödinger
  1386. 48:54read a year later in 1925. That article
  1387. 48:57fascinated Schrödinger, much like it
  1388. 48:59did Einstein, to the point that he
  1389. 49:02wrote to Einstein himself. A few days
  1390. 49:04ago, I read the ingenious thesis of De
  1391. 49:06Broglie with the greatest interest.
  1392. 49:09Thanks to it, your work becomes
  1393. 49:11completely clear to me for the first
  1394. 49:14time. He was so enthusiastic about this
  1395. 49:18idea that his boss—and his wife's
  1396. 49:20lover—the great physicist Peter Debye
  1397. 49:22, suggested he prepare a talk about it
  1398. 49:24at their university, ETH Zurich. The
  1399. 49:27physicist Felix Bloch, who was present,
  1400. 49:29would later recall it this way. He gave
  1401. 49:32a clear explanation of De Broglie's
  1402. 49:35theory of particle waves. When he
  1403. 49:38finished, Debye commented that he found
  1404. 49:40it somewhat childish. As a student of
  1405. 49:43Sommerfeld, he had learned that to deal
  1406. 49:46with waves, one must find the wave
  1407. 49:49equation.
  1408. 49:50His boss and his wife's lover had
  1409. 49:51thrown down the gauntlet. Schrödinger
  1410. 49:53was ready to pick it up. By the way, if
  1411. 49:55the fact that his boss was also his
  1412. 49:56wife's lover throws you off, don't
  1413. 49:58worry, because it didn't bother
  1414. 49:59Schrödinger. His professional life was
  1415. 50:02boring, but his sex life certainly was
  1416. 50:04not. In fact, it was truly very
  1417. 50:05controversial. Some of his escapades
  1418. 50:07include falling in love with a 14-
  1419. 50:09year-old student he tutored, whom he
  1420. 50:11then impregnated, and pursuing his
  1421. 50:13friends 'wives until he slept with them
  1422. 50:15, as he did with Arthur March, whose
  1423. 50:17wife he also impregnated. He even did
  1424. 50:19the same after meeting Hassi, a woman
  1425. 50:21he encountered on his own honeymoon. He
  1426. 50:23got several women pregnant and then
  1427. 50:25raised his lovers' children with his
  1428. 50:27wife, with whom he also lived,
  1429. 50:28sometimes even including their husbands
  1430. 50:30in the arrangement. Total madness. In
  1431. 50:32fact, he would often travel to physics
  1432. 50:35conferences with his wife and his
  1433. 50:37mistress, and others as well. So, as I
  1434. 50:40said, it wasn't much of a problem that
  1435. 50:42Schrödinger's boss was having an
  1436. 50:44affair with his wife. Well then,
  1437. 50:46Schrödinger picks up Debye's gauntlet.
  1438. 50:48To find a wave function. Let's get to
  1439. 50:51it. And so, the Christmas holidays of
  1440. 50:521925 arrived. For a long time, Erwin
  1441. 50:55had been struggling with health issues,
  1442. 50:57specifically tuberculosis. Usually, as
  1443. 50:59part of his treatment, he would spend a
  1444. 51:01few days at an idyllic spa in
  1445. 51:02Switzerland, in the mountains of Arosa.
  1446. 51:06So, for Christmas of 1925, he hatched a
  1447. 51:08plan: to retreat to the mountains of
  1448. 51:10Arosa with one of his lovers, some
  1449. 51:12earplugs, and de Broglie's paper, to
  1450. 51:17find that damned wave function. The
  1451. 51:19fact is that during those days he had a
  1452. 51:21burst of creativity that allowed him to
  1453. 51:22come up with that wave function he was
  1454. 51:24looking for. It was the foundation of
  1455. 51:26quantum mechanics. Schrödinger’s
  1456. 51:28wave quantum mechanics. It is, in truth
  1457. 51:30, a simple equation. This one right
  1458. 51:32here, there’s nothing more to it, but
  1459. 51:33it is truly very profound. Upon his
  1460. 51:35return, he systematically applied this
  1461. 51:37equation to those endless tables that
  1462. 51:39theorists had managed to compile from
  1463. 51:41experiments on atoms, and to his
  1464. 51:43delight, it gave the correct answer.
  1465. 51:46Thus, he published his first article in
  1466. 51:48the Annalen der Physik on January 27,
  1467. 51:501926, just a few days later. The last
  1468. 51:52one would be in September of that year.
  1469. 51:54There were six in total. In them, he
  1470. 51:57demonstrated that wave quantum
  1471. 51:59mechanics was correct. He had found the
  1472. 52:01Newton’s law of atoms. But where you
  1473. 52:03might imagine overflowing joy in the
  1474. 52:05physics community, there was actually
  1475. 52:07terror, because if you’ve noticed, we
  1476. 52:09went from having no quantum mechanics
  1477. 52:10to having two. And this, how can you
  1478. 52:13imagine? It cannot make sense. The
  1479. 52:15world, the universe can only have one
  1480. 52:16set of rules. It will either be
  1481. 52:18Heisenberg’s or Schrödinger’s.
  1482. 52:20That is why the young Heisenberg was
  1483. 52:22dismayed by the news coming from Zurich
  1484. 52:24; because he knew it: young 24-year-old
  1485. 52:26Heisenberg was destined to lose, and
  1486. 52:28not because of his young age. No, it
  1487. 52:31was because compared to
  1488. 52:32Schrödinger’s gentle, continuous,
  1489. 52:34and deterministic waves, his abrupt,
  1490. 52:36probabilistic jumps, his mathematical
  1491. 52:38games, and his strange tables seemed
  1492. 52:41like monsters straight out of a horror
  1493. 52:43movie. No one would want to use them.
  1494. 52:46Worse still, his mechanics brought an
  1495. 52:47image of the world that no one would be
  1496. 52:49willing to accept. You have a three and
  1497. 52:51you have a five; you multiply them, and
  1498. 52:53you get 15. Very well, do you know how
  1499. 52:54to multiply? Well, now we can flip it,
  1500. 52:55the five first and then the three.
  1501. 52:57Multiply them and the result is the
  1502. 52:58same. 15. Little surprise there. It’s
  1503. 53:00because multiplication is commutative;
  1504. 53:02we all know that from school. The order
  1505. 53:04of factors, they say, does not alter
  1506. 53:06the product. But what seems obvious is
  1507. 53:07not always the case. For example, it
  1508. 53:10doesn’t happen with tables of numbers
  1509. 53:12, matrices. You have a matrix A and you
  1510. 53:14multiply it by another B; well,
  1511. 53:15mathematically, you don't get the same
  1512. 53:17result if you multiply B by A. It is
  1513. 53:18said that matrices do not commute. The
  1514. 53:21problem is that in Heisenberg's matrix
  1515. 53:23theory, these matrices, as we saw, are
  1516. 53:24magnitudes like position and velocity.
  1517. 53:27They are the observables used to
  1518. 53:29measure particle states. In other words
  1519. 53:32, the theory subtly tells us that since
  1520. 53:34position and velocity are matrices,
  1521. 53:36they do not commute. That is, measuring
  1522. 53:38position and then velocity is not the
  1523. 53:39same as doing it the other way around.
  1524. 53:41This madness would lead Heisenberg a
  1525. 53:43few years later to shape the most
  1526. 53:45important and craziest principle of
  1527. 53:47quantum mechanics. The one that bears
  1528. 53:49his name is Werner Heisenberg's
  1529. 53:50uncertainty principle, which is
  1530. 53:52mathematically formulated this way.
  1531. 53:54This is the uncertainty in the position
  1532. 53:56measurement, this in velocity, that is,
  1533. 53:58how much do we know about these
  1534. 53:59magnitudes? The equation tells us that
  1535. 54:02there is a natural limit on what we can
  1536. 54:04simultaneously know about a particle's
  1537. 54:06position and velocity. Since Newton's
  1538. 54:09time, there has been a fantasy of
  1539. 54:11determinism that by knowing the
  1540. 54:12position and velocity of, for example,
  1541. 54:14three balls in a moving box, we can
  1542. 54:15know where they will be at any future
  1543. 54:17moment. Heisenberg tells us that
  1544. 54:19something like that makes no sense.
  1545. 54:21Impossible. Of a system, in this case
  1546. 54:23the three balls, which is given by
  1547. 54:24their three positions and their three
  1548. 54:26velocities. At any given moment, we can
  1549. 54:28at most know half of them. The other
  1550. 54:31half is not that it's technically
  1551. 54:33impossible to know, it's that it makes
  1552. 54:34no sense to talk about it. The
  1553. 54:37uncertainty principle makes us blind to
  1554. 54:39half of what we can know about the
  1555. 54:41world. But it's even worse when the
  1556. 54:43random nature of quantum mechanics is
  1557. 54:45observed in experiments. Anyway, it was
  1558. 54:47all truly a mess. But what seemed to be
  1559. 54:50an unequal war, Schrödinger and his
  1560. 54:52continuous, deterministic waves versus
  1561. 54:54Heisenberg and his quantum leaps and
  1562. 54:56uncertainties, was all an illusion.
  1563. 54:59Working with Schrödinger's formulation
  1564. 55:01, one arrived deep down at the same
  1565. 55:03conclusions. Its continuity and its
  1566. 55:06determinism were just that, illusory.
  1567. 55:09It was inevitable to reach the same
  1568. 55:10crossroads. Heisenberg's uncertainty
  1569. 55:12and the discontinuity of matrix theory
  1570. 55:14were real. And this is only confirmed a
  1571. 55:17short time later. First Dirac, then
  1572. 55:19Pauli, but definitively the genius of
  1573. 55:21Paul Dirac gave a resounding answer.
  1574. 55:24The two mechanics are really two
  1575. 55:26mathematical forms of the same theory.
  1576. 55:28Schrödinger and Heisenberg had
  1577. 55:29basically discovered the same thing.
  1578. 55:31Things are becoming clearer, but we
  1579. 55:33still have many scraps of fabric: waves
  1580. 55:35, leaps, matrices, uncertainties,
  1581. 55:37non-commutation. It was necessary for
  1582. 55:39someone to be able to sew it all
  1583. 55:41together properly, to give it a final
  1584. 55:42shape. 1927, in Como, Italy, on the
  1585. 55:45occasion of the centenary of Alessandro
  1586. 55:47Volta's death, some of the leaders of
  1587. 55:48the Quantum Revolution gathered on
  1588. 55:50September 11. A historic conference
  1589. 55:53took place there. It would be given by
  1590. 55:55the master of the entire generation,
  1591. 55:56Niels Bohr. Bohr decides to take the
  1592. 55:58best of the pieces and sew a good shirt
  1593. 56:00out of them. Let's take a classic
  1594. 56:02experiment. An electron that is
  1595. 56:04launched through a tube and arrives at
  1596. 56:06a screen. What do we know about all
  1597. 56:07this thanks to quantum mechanics? It is
  1598. 56:09said, well, that the electron, whatever
  1599. 56:10it may be, does not matter to us. It
  1600. 56:12evolves like a wave on its journey. It
  1601. 56:15is in all these places at once, but
  1602. 56:16when it hits the screen, it appears in
  1603. 56:18only one place. Then, it manifests as a
  1604. 56:20particle. There we have all the
  1605. 56:22elements, Schrödinger's waves, which,
  1606. 56:24being waves, we can only know 50%of
  1607. 56:26their dynamics. There we have
  1608. 56:28Heisenberg's uncertainty principle, but
  1609. 56:30then, when measured, the wave
  1610. 56:31disappears and the particle appears. At
  1611. 56:33this point, one asks: what is happening
  1612. 56:35? Well, Bohr answers: by observing, the
  1613. 56:38wave is collapsing. The wave fades away
  1614. 56:40and in its place the particle appears.
  1615. 56:42And where does the particle appear?
  1616. 56:44Here, Bohr borrows a brilliant idea
  1617. 56:46from his friend Max Born, which also
  1618. 56:48allows for the random nature of quantum
  1619. 56:50phenomena. Schrödinger's wave is a
  1620. 56:54probability wave, so we don't know
  1621. 56:56where the electron will appear on the
  1622. 56:58screen, but we can know one thing: it
  1623. 57:00will be more likely to see it where the
  1624. 57:02wave is greatest. The wave is nothing
  1625. 57:05more than a probabilistic wave. Now
  1626. 57:07this whole concoction is missing only
  1627. 57:09one element. And Bohr puts the special
  1628. 57:11cherry on top of this theoretical
  1629. 57:13framework with an idea he had himself.
  1630. 57:15Wave and particle? He asks himself.
  1631. 57:17Well, the two visions of wave and
  1632. 57:19particle are both correct at the same
  1633. 57:21time, because they are complementary
  1634. 57:23visions; there is the keyword. What the
  1635. 57:25electron really is does not matter to
  1636. 57:27us; it is totally irrelevant. Depending
  1637. 57:31on how I go about studying it, it will
  1638. 57:32have a particle nature or a wave nature
  1639. 57:34. But surely, deep down, it is neither
  1640. 57:37of the two. It is surely, in fact,
  1641. 57:39something that even we humans cannot
  1642. 57:41understand. Hold on to this second
  1643. 57:42philosophical contribution that we are
  1644. 57:44providing in this historical review. It
  1645. 57:46is Bohr's: the limits of human
  1646. 57:48knowledge and the purpose of science,
  1647. 57:49which is none other than to explain
  1648. 57:51what can be observed. This, friends, is
  1649. 57:53what is known as the Copenhagen
  1650. 57:55interpretation of quantum mechanics.
  1651. 57:56With this, the second quantum
  1652. 57:59revolution concludes. Applause. But
  1653. 58:02don't worry, because what seems like
  1654. 58:04the end of the story—where the
  1655. 58:06credits would roll and the final
  1656. 58:07screens appear—is actually just the
  1657. 58:09beginning; because what appears to be a
  1658. 58:11way to reconcile all the brilliant
  1659. 58:13ideas of those 10 years, in reality,
  1660. 58:15like the apple of Eris in the Iliad,
  1661. 58:17carries within it the seed of discord.
  1662. 58:20Mathematically it all works, physically
  1663. 58:22it might make sense, but for many,
  1664. 58:24philosophically, this solution was
  1665. 58:26totally absurd. This is the story.
  1666. 58:30While the Copenhagen school grew and
  1667. 58:31expanded, with its numerous members
  1668. 58:33taking over the most important
  1669. 58:34universities in Europe—Pauli,
  1670. 58:36Heisenberg, Jordan, Kramers. And with
  1671. 58:39that, imposing this vision of quantum
  1672. 58:41mechanics, that of the collapse, on
  1673. 58:42future generations, others acted as
  1674. 58:44opposition, as resistance. And it's
  1675. 58:47because they saw that this formulation,
  1676. 58:49by forcing reality, reached a state of
  1677. 58:51nonsense. At the center of this
  1678. 58:53resistance, opposing this vision—
  1679. 58:54Bohr's vision, that of the Copenhagen
  1680. 58:56school—were two of its creators, two
  1681. 58:58of the creators of quantum mechanics.
  1682. 59:00We are talking about Albert Einstein
  1683. 59:01and Erwin Schrödinger. "If all this
  1684. 59:03quantum jumping is here to stay, I
  1685. 59:06regret having had anything to do with
  1686. 59:08this theory."
  1687. 59:09Schrödinger would say. Oh,
  1688. 59:11I like to think that the moon is there,
  1689. 59:13even if I don't look at it.
  1690. 59:14Even his famous. "God does not play
  1691. 59:17dice."
  1692. 59:17What would Einstein say? Neither of
  1693. 59:19them was against the mathematics of
  1694. 59:21quantum theory. Everything was fine
  1695. 59:22with that. They were against, however,
  1696. 59:24its final form, the Copenhagen
  1697. 59:26interpretation, the philosophical
  1698. 59:27premises it started from, and also its
  1699. 59:29metaphysical consequences. In fact,
  1700. 59:32together, Schrödinger and Einstein—
  1701. 59:35both convinced of their opposition—in
  1702. 59:37an exchange of letters, created the
  1703. 59:39famous Schrödinger's cat, a thought
  1704. 59:42experiment they devised to ridicule the
  1705. 59:44Copenhagen interpretation. You put a
  1706. 59:47cat in a box with a poison that is
  1707. 59:48triggered by the passage of a quantum
  1708. 59:50particle. Since the particle actually
  1709. 59:52acts like a wave, it can be in two
  1710. 59:54places at once, triggering and not
  1711. 59:56triggering the poison. So, until
  1712. 59:58someone observes the system, someone
  1713. 1:00:00opens the box and the wave collapses,
  1714. 1:00:02the cat is, according to the Copenhagen
  1715. 1:00:04interpretation, both alive and dead at
  1716. 1:00:06the same time. This, we all agree,
  1717. 1:00:08makes no sense at all. The cat cannot
  1718. 1:00:10be alive and dead. Well, with this
  1719. 1:00:12question, this interpretation, a war
  1720. 1:00:14broke out at the center of the debate
  1721. 1:00:16between the two sides: the supporters
  1722. 1:00:18of the Copenhagen interpretation, led
  1723. 1:00:20by Bohr, and the revolutionaries
  1724. 1:00:22against it, led by Einstein. A war that
  1725. 1:00:25had as its symbolic high point that
  1726. 1:00:27famous 1927 Solvay Conference, the
  1727. 1:00:29greatest gathering of geniuses in
  1728. 1:00:31history with one topic to address: the
  1729. 1:00:33meaning of quantum mechanics. At that
  1730. 1:00:36time, the fights between Einstein and
  1731. 1:00:37Bohr at the congresses became famous.
  1732. 1:00:39Einstein would devise a thought
  1733. 1:00:40experiment to show that quantum
  1734. 1:00:42mechanics made no sense. A while later,
  1735. 1:00:44Bohr could be seen angry, muttering to
  1736. 1:00:46himself as he walked through the
  1737. 1:00:48hallways. At night, the solution would
  1738. 1:00:50come to him and he would tell Einstein,
  1739. 1:00:52who would lock himself away to
  1740. 1:00:53complicate the experiment more and more
  1741. 1:00:55to start over and drive Niels Bohr
  1742. 1:00:57crazy. This was one of the most intense
  1743. 1:00:59and beautiful intellectual battles in
  1744. 1:01:01history, which in reality had no winner
  1745. 1:01:03. As of today, October 14, 2025, the
  1746. 1:01:07fight is still not over; it remains
  1747. 1:01:09open. And at the heart of the matter in
  1748. 1:01:11this battle is the philosophy of
  1749. 1:01:13quantum mechanics. What is the world?
  1750. 1:01:15Does the observer affect it by
  1751. 1:01:16measuring? Does reality exist outside
  1752. 1:01:18of us or only in our minds? What are
  1753. 1:01:20those waves that we cannot observe?
  1754. 1:01:22Does it make sense to theorize about
  1755. 1:01:23something that cannot be seen? Instead,
  1756. 1:01:25should we just be content with
  1757. 1:01:27understanding what we measure, or can
  1758. 1:01:29we try to reach the king of all? No one
  1759. 1:01:31currently has a clear answer to these
  1760. 1:01:33questions, which actually point to the
  1761. 1:01:35true meaning of quantum mechanics. But
  1762. 1:01:37before entering this intense and
  1763. 1:01:39precious debate, let's return to the
  1764. 1:01:41German genius. Do you remember Leibniz?
  1765. 1:01:44And I believe he has something
  1766. 1:01:45interesting to tell us across time,
  1767. 1:01:47those 400 years that separate us from
  1768. 1:01:48him. The germ of the theory of monads,
  1769. 1:01:51as we said before, was in physics.
  1770. 1:01:54Leibniz thought that inertia, the
  1771. 1:01:56resistance to movement through space,
  1772. 1:01:57implied something of a metaphysical
  1773. 1:01:59nature, something external to space
  1774. 1:02:01itself, a kind of originating substance
  1775. 1:02:03not founded on the geometrically
  1776. 1:02:04mathematical. Those points of
  1777. 1:02:07immaterial metaphysical force, those
  1778. 1:02:09would be the monads. They would be
  1779. 1:02:11infinite, incorruptible, containing the
  1780. 1:02:13whole, a cooperation of all things, but
  1781. 1:02:15at the same time, they were imperfect.
  1782. 1:02:17And how do these monads give rise to
  1783. 1:02:18the world we see? Here is Leibniz's key
  1784. 1:02:21idea. For him, space is not something
  1785. 1:02:23fundamental; it is instead a product,
  1786. 1:02:25it is a phenomenon, or as he called it,
  1787. 1:02:28a phenomenon bene fundatum. It is the
  1788. 1:02:30way in which reality appears before us.
  1789. 1:02:32Thus, space is born as an effect of
  1790. 1:02:34something more fundamental, the order
  1791. 1:02:36of things that coexist. Space is the
  1792. 1:02:38fruit of the relationship of things
  1793. 1:02:39with one another. It is a result of the
  1794. 1:02:41relationship that we perceive as
  1795. 1:02:43existing between things. Something
  1796. 1:02:44similar happens according to Leibniz
  1797. 1:02:46with time. It becomes a*rationis*. It
  1798. 1:02:49is not a subsistent reality like the
  1799. 1:02:52unstoppable flow we all feel, but
  1800. 1:02:54rather a*phenomenon bene fundatum*, a
  1801. 1:02:57phenomenon. Thus, time arises from the
  1802. 1:02:59relation of coexistence between things.
  1803. 1:03:02Time appears because things pre-exist,
  1804. 1:03:05coexist, and post-exist through their
  1805. 1:03:07succession, but not as something
  1806. 1:03:09fundamental, a basic being, or an
  1807. 1:03:12absolute entity. Thus, for space, it is
  1808. 1:03:15the order that makes bodies locatable
  1809. 1:03:17and through which, by existing together
  1810. 1:03:19, they have a position in relation to
  1811. 1:03:21one another. Time is an analogous order
  1812. 1:03:24in relation to their successive
  1813. 1:03:26position in space. Look and be amazed
  1814. 1:03:28at how far Leibniz takes us in the
  1815. 1:03:30middle of the 17th century. What an
  1816. 1:03:33original and modern line of thought. We
  1817. 1:03:35are moving from space as the essential
  1818. 1:03:38foundation of existence. From Descartes
  1819. 1:03:41'nature of bodies, passing to Newton's*
  1820. 1:03:43sensorium Dei*, to becoming something
  1821. 1:03:45constructed by experience through a
  1822. 1:03:47relation between things. As Leibniz
  1823. 1:03:49says, time and space would be an
  1824. 1:03:51illusion. Or better yet, one of
  1825. 1:03:53Bacon’s idols. Space would be a
  1826. 1:03:56subjective way for things to appear,
  1827. 1:03:58with the real, the fundamental, being
  1828. 1:04:00only the relation between them. I am
  1829. 1:04:02honestly blown away by the modernity of
  1830. 1:04:05this idea. It leaves me absolutely
  1831. 1:04:07paralyzed how, while other geniuses
  1832. 1:04:09like Descartes, Newton, Bacon, or
  1833. 1:04:11Hobbes built a materialism and a
  1834. 1:04:13mechanism that today, with the benefit
  1835. 1:04:15of hindsight, we could label as naive.
  1836. 1:04:18Well now, of course, we know things
  1837. 1:04:19like fields, quantum phenomena, or the
  1838. 1:04:21principles of relativity. He was taking
  1839. 1:04:24a step into the unknown in another
  1840. 1:04:26direction, getting ahead of them all to
  1841. 1:04:28anticipate questions that are still
  1842. 1:04:30relevant 300 years later. To me, this
  1843. 1:04:33seems truly astonishing, incredible,
  1844. 1:04:35and very praiseworthy. Of course, these
  1845. 1:04:38ideas are so interesting and fruitful
  1846. 1:04:40that we can find echoes of Leibniz's
  1847. 1:04:42ideas in Kant, for example, and the
  1848. 1:04:44revolution he brought to the
  1849. 1:04:45interpretation of space-time, which
  1850. 1:04:47would later influence Einstein and
  1851. 1:04:49relativity; but it is even more
  1852. 1:04:51surprising that we can adopt many of
  1853. 1:04:53his interesting ideas, even 400 years
  1854. 1:04:55later, to approach the quantum mystery.
  1855. 1:04:59We return to quantum interpretation, we
  1856. 1:05:01return to our story, but now we leave
  1857. 1:05:03the chronological path to see it from
  1858. 1:05:05today, from the present. 100 years have
  1859. 1:05:07passed since that famous Solvay
  1860. 1:05:09Conference that put an end to the
  1861. 1:05:11quantum revolution. And the truth is,
  1862. 1:05:13with some nuances, things remain much
  1863. 1:05:15the same. Universities continue to
  1864. 1:05:17teach the Copenhagen interpretation in
  1865. 1:05:18their classrooms. This has historical
  1866. 1:05:20motives, like the influence of Bohr and
  1867. 1:05:22his disciples, but also practical or
  1868. 1:05:24instrumental ones. The fact is that
  1869. 1:05:26this interpretation is taught well,
  1870. 1:05:27applied well, and presents mathematical
  1871. 1:05:29clarity. Generally, moreover, it is
  1872. 1:05:30taught without getting into trouble. It
  1873. 1:05:32is this way, it is done this way, and
  1874. 1:05:33that's that. And if the only thing at
  1875. 1:05:36stake here were building bridges,
  1876. 1:05:37putting rockets on the moon, making
  1877. 1:05:39electrical circuits, or sending a
  1878. 1:05:41WhatsApp message from Madrid to Cali,
  1879. 1:05:42everything would be fine. We could stop
  1880. 1:05:45here and everything would be fantastic.
  1881. 1:05:48But when the issue at stake is deeper,
  1882. 1:05:50such as answering the question of what
  1883. 1:05:52reality is, the matter is not only not
  1884. 1:05:54so easy, but it is not trivial either.
  1885. 1:05:58That it is not trivial can be easily
  1886. 1:06:00seen in how what I am about to tell you
  1887. 1:06:02currently stings. I will surely even
  1888. 1:06:04receive criticism for this video.
  1889. 1:06:06Talking about the Big Bang, all good.
  1890. 1:06:07Talking about string theory, no problem
  1891. 1:06:09. Here things get more serious because
  1892. 1:06:11what I am going to tell you, friends,
  1893. 1:06:13is no longer just science, nor is it
  1894. 1:06:15even just philosophy. This encroaches
  1895. 1:06:18on the meaning of the world and
  1896. 1:06:20therefore on the political, the
  1897. 1:06:21religious, and the economic spheres—
  1898. 1:06:23that is, on the narratives of control
  1899. 1:06:25and power. Neither the fundamentalists
  1900. 1:06:29of Marxism and communism nor
  1901. 1:06:30ultra-conservative Catholic movements
  1902. 1:06:32are oblivious to this issue. Because we
  1903. 1:06:35know that questions about ultimate
  1904. 1:06:36reality also imply asking ourselves
  1905. 1:06:38about things like the existence of the
  1906. 1:06:40soul, the preponderance of humans in
  1907. 1:06:41the world, or the afterlife, and
  1908. 1:06:43obviously their opposites, like atheism
  1909. 1:06:45. Thus, the dominant ideologies in the
  1910. 1:06:47world, which in principle have nothing
  1911. 1:06:49to do with quantum mechanics, fight to
  1912. 1:06:51be right on this matter as well, from
  1913. 1:06:53their own narrative marked by their
  1914. 1:06:54ideology. Therefore, friends, this is
  1915. 1:06:58no longer just science, but let's
  1916. 1:06:59pretend it is only science and
  1917. 1:07:00philosophy, because I find it more fun
  1918. 1:07:02and I like it much more. Let's get to
  1919. 1:07:05the point. I'll summarize it for you
  1920. 1:07:06quickly. On one hand, we have some
  1921. 1:07:08absolutely unquestionable facts. I
  1922. 1:07:10don't think anyone could disagree with
  1923. 1:07:12me. Experiments with atoms show strange
  1924. 1:07:14things, such as the electron and the
  1925. 1:07:16rest of the particles evolving over
  1926. 1:07:18time like waves, and in doing so, they
  1927. 1:07:20hide 50%of reality from us. We are
  1928. 1:07:23blinded by the wave-like nature of
  1929. 1:07:25matter to 50%of what is happening. Up
  1930. 1:07:28to that point, there is little to argue
  1931. 1:07:30, and this is applied in the laboratory
  1932. 1:07:31with success, and the physicist goes
  1933. 1:07:33home happy. The problem is when we ask
  1934. 1:07:35ourselves why things are this way for
  1935. 1:07:38an electron—wavelike, diffuse—but
  1936. 1:07:40when we go to the park and touch a ball
  1937. 1:07:42or a plant, things are no longer like
  1938. 1:07:45that. Things appear with a marked
  1939. 1:07:48material nuance; they have a very
  1940. 1:07:49different nature. The wave is tangible,
  1941. 1:07:53it is point-like; how? Why? That is the
  1942. 1:07:56origin of this discussion. It is what
  1943. 1:07:59is known as the observer problem in
  1944. 1:08:00quantum mechanics, or how we can move
  1945. 1:08:03from an intangible wave nature to
  1946. 1:08:04something we can touch, like a wallet.
  1947. 1:08:07The fact is that depending on how this
  1948. 1:08:09problem is approached, the nature of
  1949. 1:08:11reality changes drastically. These are
  1950. 1:08:13the interpretations of quantum
  1951. 1:08:14mechanics. To bring a little order, the
  1952. 1:08:17questions we want to resolve in light
  1953. 1:08:18of the observer problem in quantum
  1954. 1:08:20mechanics are two. The first: does the
  1955. 1:08:23world exist independently of our mind?
  1956. 1:08:25And if it does exist, the second
  1957. 1:08:27question: can we understand its
  1958. 1:08:28fundamental laws? Quantum mechanics,
  1959. 1:08:30from its mathematical success,
  1960. 1:08:32uncontroversial and indisputable as far
  1961. 1:08:34as is known today, is open to many ways
  1962. 1:08:36of answering these two questions, with
  1963. 1:08:38a tremendous impact on our way of
  1964. 1:08:40understanding the world. Let's start
  1965. 1:08:42with the most radical way. It would be
  1966. 1:08:44to answer "no" to the first question.
  1967. 1:08:46That is what someone would do who takes
  1968. 1:08:48the subject of observation in quantum
  1969. 1:08:50mechanics......in the most literal way
  1970. 1:08:52possible. These physicists would grant
  1971. 1:08:55the conscious act of looking a
  1972. 1:08:57fundamental role in existence, which
  1973. 1:08:59can be taken to its ultimate
  1974. 1:09:01consequences. Imagine we have Wigner, a
  1975. 1:09:04scientist, doing the Schrödinger's cat
  1976. 1:09:06experiment with a box in a room. For
  1977. 1:09:08Wigner, the cat is alive and dead at
  1978. 1:09:10the same time until the box is opened.
  1979. 1:09:11He does it and, for example, it turns
  1980. 1:09:13out to be alive. Great, end of the
  1981. 1:09:14matter. But for a person outside that
  1982. 1:09:17room who hasn't entered yet, hasn't
  1983. 1:09:19opened the door, doesn't know what
  1984. 1:09:20happened inside, hasn't observed it;
  1985. 1:09:22therefore, the cat remains alive and
  1986. 1:09:23dead for him. The point is that we can
  1987. 1:09:26imagine another person who is outside
  1988. 1:09:28and so on, and by following this
  1989. 1:09:29logical path, we can arrive at the need
  1990. 1:09:31for the entire universe to be observed
  1991. 1:09:33in order to exist. This is the famous
  1992. 1:09:35thought experiment known as "Wigner's
  1993. 1:09:37Friend," and it is not the only exotic
  1994. 1:09:38interpretation. John Wheeler, also
  1995. 1:09:41using quantum mechanics, would arrive
  1996. 1:09:43at very curious things that give a very
  1997. 1:09:45important role to the observer. It is
  1998. 1:09:48the theory of the participatory
  1999. 1:09:49universe that I explain in this video.
  2000. 1:09:51Basically, that the human being has an
  2001. 1:09:52important role in the universe for its
  2002. 1:09:54own creation. The existence of the
  2003. 1:09:56human being makes the universe collapse
  2004. 1:09:57and begin to exist at the Big Bang,
  2005. 1:09:59with a sort of journey into the past.
  2006. 1:10:00Okay, this is the most philosophically
  2007. 1:10:02wild way to interpret quantum mechanics
  2008. 1:10:04. It goes along the lines of a tree
  2009. 1:10:06making no sound in the forest if there
  2010. 1:10:07is no one there to hear it. In reality,
  2011. 1:10:09it is nothing that extravagant, nor
  2012. 1:10:11that new in history. It is the esse est
  2013. 1:10:13percipi of the philosopher Berkeley.
  2014. 1:10:15But let's move in another direction.
  2015. 1:10:16Let's see what happens if we answer the
  2016. 1:10:18first question in the negative. No, we
  2017. 1:10:20do not need a consciousness observing
  2018. 1:10:22the universe for the outside world to
  2019. 1:10:25exist. When we talk about observing or
  2020. 1:10:27measuring in quantum mechanics it
  2021. 1:10:30sounds very anthropocentric, but in a
  2022. 1:10:32general way it can have another meaning
  2023. 1:10:34, another significance: simply
  2024. 1:10:36interacting. Can a stone, for example,
  2025. 1:10:39observe the sea if it falls off a cliff
  2026. 1:10:41, for example, where there is no human
  2027. 1:10:43being? Observing, we could change it to
  2028. 1:10:45interacting. Here, two very interesting
  2029. 1:10:47positions appear depending on how we
  2030. 1:10:49answer the following question. Whether
  2031. 1:10:51it is possible to understand the
  2032. 1:10:52universe in its most fundamental
  2033. 1:10:54features. If we answer this question
  2034. 1:10:55with a no, that it is not possible to
  2035. 1:10:57understand the universe in its
  2036. 1:10:58fundamental features, there are two
  2037. 1:10:59possibilities. We could be quantum
  2038. 1:11:01epistemologists, for whom the very
  2039. 1:11:03question, what is an electron? We don't
  2040. 1:11:05know, nor can we even know. Science
  2041. 1:11:08deals with our knowledge about the
  2042. 1:11:10world, not what it really is.
  2043. 1:11:12It is incorrect to think that the task
  2044. 1:11:15of physics is to describe how nature is
  2045. 1:11:17. Physics only deals with what we can
  2046. 1:11:20say about nature,
  2047. 1:11:21which is the philosophical stance of
  2048. 1:11:23Bohr or Bertrand Russell, and much in
  2049. 1:11:25the line of Kant as well. We perceive
  2050. 1:11:26phenomena through the senses and not
  2051. 1:11:28the noumena, the essence of objects,
  2052. 1:11:30the thing in itself. But also in this
  2053. 1:11:32line we have the operationalists. For
  2054. 1:11:35them, that same question, what is an
  2055. 1:11:37electron, is not just that we cannot
  2056. 1:11:39know it because human beings lack that
  2057. 1:11:40possibility, that access. It is simply
  2058. 1:11:43a meaningless question. We can only ask
  2059. 1:11:46ourselves about what we can experience:
  2060. 1:11:48the observables, such as the position
  2061. 1:11:50of the electron. But what does the
  2062. 1:11:52electron do when we aren't looking? It
  2063. 1:11:54simply makes no sense. Science only
  2064. 1:11:56keeps a record of the observable. In
  2065. 1:11:59fact, those observable quantities only
  2066. 1:12:01come into existence by the act of
  2067. 1:12:02measuring them. In this strict sense,
  2068. 1:12:05Heisenberg was an operationalist. And
  2069. 1:12:07finally, there is the last option:
  2070. 1:12:09answering that consciousness does not
  2071. 1:12:10play an important role and that we can
  2072. 1:12:12indeed know the foundations of the
  2073. 1:12:14world. There are the realists, those
  2074. 1:12:16who believe that the world exists
  2075. 1:12:17outside of us and can also be
  2076. 1:12:18understood. This would be the stance of
  2077. 1:12:20Einstein or Schrödinger, the
  2078. 1:12:22intellectual rivals of the Copenhagen
  2079. 1:12:23interpretation. Here within this team,
  2080. 1:12:25the problem is that this isn't a view
  2081. 1:12:27compatible with quantum mechanics as it
  2082. 1:12:30stands today, but it can be saved.
  2083. 1:12:32Einstein, for example, thought that
  2084. 1:12:34quantum randomness is like the
  2085. 1:12:36randomness of rolling a die. When you
  2086. 1:12:39roll a die, we don't know what will
  2087. 1:12:40happen, what will come up, because we
  2088. 1:12:42lack all the information to calculate
  2089. 1:12:43it, but if we could have it, we would
  2090. 1:12:45know. In this case, randomness is a
  2091. 1:12:48reflection of our ignorance. Einstein
  2092. 1:12:51thinks the same thing happens with
  2093. 1:12:52quantum mechanics. Yes, it is random,
  2094. 1:12:54but only in appearance. Underneath,
  2095. 1:12:56there is a more fundamental theory
  2096. 1:12:58where everything makes sense and is
  2097. 1:12:59realistic. These are the hidden
  2098. 1:13:01variables he spoke of. There are
  2099. 1:13:03several options here, such as the pilot
  2100. 1:13:05wave theory by De Broglie and later
  2101. 1:13:06David Bohm. This is a realistic theory
  2102. 1:13:08in this sense. There are other forms of
  2103. 1:13:10realism as well, though they may seem
  2104. 1:13:12more exotic. L.S.M., in a book I will
  2105. 1:13:13add to the bibliography, calls them
  2106. 1:13:15magical realism. One proposal for this
  2107. 1:13:17magical realism would be an explanation
  2108. 1:13:19of what happens when a quantum
  2109. 1:13:20phenomenon occurs in the world. What it
  2110. 1:13:22proposes is that the world is dividing
  2111. 1:13:24into several realities, giving rise to
  2112. 1:13:26a quantum multiverse. This is a
  2113. 1:13:28realistic theory that resolves quantum
  2114. 1:13:30paradoxes, but at the cost of
  2115. 1:13:31multiplying entities to infinity. This
  2116. 1:13:33is Hugh Everett's many-worlds
  2117. 1:13:35interpretation. Actually, there are
  2118. 1:13:37other modern realistic interpretations
  2119. 1:13:39that try to accommodate all the madness
  2120. 1:13:41of quantum mechanics, like the physical
  2121. 1:13:43collapse of quantum states, or the
  2122. 1:13:45Montevideo interpretation, or QBism, a
  2123. 1:13:47Bayesian interpretation of quantum
  2124. 1:13:48mechanics. And why is the question
  2125. 1:13:50still open today? Well, because no
  2126. 1:13:52interpretation is fully satisfactory.
  2127. 1:13:54The Copenhagen interpretation implies a
  2128. 1:13:56rather strange collapse of the wave
  2129. 1:13:58function, plus such strange and
  2130. 1:14:00realistic views of the world will
  2131. 1:14:01always be under suspicion. The
  2132. 1:14:03many-worlds interpretation is very
  2133. 1:14:05strange in itself. Acknowledging the
  2134. 1:14:07existence of infinite material
  2135. 1:14:08realities doesn't leave anyone at ease.
  2136. 1:14:09The pilot wave, furthermore, seems to
  2137. 1:14:11violate relativity, physical collapse,
  2138. 1:14:13and the conservation of energy. The
  2139. 1:14:14fact is that there isn't one that
  2140. 1:14:15satisfies everyone at once. It is in
  2141. 1:14:17this situation that an interpretation
  2142. 1:14:19arrives, I would say intermediate
  2143. 1:14:20between them all, and one that would
  2144. 1:14:22make Leibniz himself very happy: Carlo
  2145. 1:14:23Rovelli's relational interpretation of
  2146. 1:14:25quantum mechanics. He tells it in his
  2147. 1:14:28book Helgoland, which I include in the
  2148. 1:14:29bibliography, particularly in a chapter
  2149. 1:14:31with the illustrative title: is it
  2150. 1:14:32possible that something is real for you
  2151. 1:14:34but not for me? If Heisenberg started
  2152. 1:14:37by ignoring everything that cannot be
  2153. 1:14:39observed, leading to his famous
  2154. 1:14:40matrices, Rovelli takes this as the
  2155. 1:14:42core of his interpretation. Only what
  2156. 1:14:44is observed exists. Observed not in a
  2157. 1:14:47human sense, but in a much more general
  2158. 1:14:49one. Only that which has interaction or
  2159. 1:14:51a relationship with other things exists
  2160. 1:14:53. Properties, which are what we measure
  2161. 1:14:56like an object's position, speed, or
  2162. 1:14:58color, do not reside in objects; they
  2163. 1:15:00are bridges between them. This is the
  2164. 1:15:02relational interpretation of quantum
  2165. 1:15:04mechanics. The world is a dense web of
  2166. 1:15:06interactions, says Rovelli, in which
  2167. 1:15:07everything is in continuous
  2168. 1:15:08relationship with its environment
  2169. 1:15:10through these interactions. The knots
  2170. 1:15:12in this web of interactions are objects
  2171. 1:15:14. Thus, a thing like a stone makes no
  2172. 1:15:17sense in itself, but only based on the
  2173. 1:15:19relationships it has with its
  2174. 1:15:20surroundings; something that relates to
  2175. 1:15:22nothing truly does not exist. At this
  2176. 1:15:24point, many of the paradoxes of quantum
  2177. 1:15:26mechanics disappear. We saw that as
  2178. 1:15:29long as something is not observed, it
  2179. 1:15:30shows strange behavior. It is actually
  2180. 1:15:33that it does not exist for me as an
  2181. 1:15:34observer of the world because I do not
  2182. 1:15:36yet have a relationship with it. So all
  2183. 1:15:38we can conjecture are possibilities of
  2184. 1:15:41existence. That is where the famous
  2185. 1:15:43randomness comes from. Once I observe
  2186. 1:15:45it, I relate to it. It exists insofar
  2187. 1:15:47as its properties are shared with me.
  2188. 1:15:49This interpretation, as the chapter
  2189. 1:15:50title suggests, gives rise to what seem
  2190. 1:15:52like glaring inconsistencies. That
  2191. 1:15:54electron I do not observe behaves very
  2192. 1:15:56differently if you do observe it, but
  2193. 1:15:58the contradiction is only apparent. For
  2194. 1:16:00you, it exists because you have created
  2195. 1:16:03a relationship, and what exists are
  2196. 1:16:04relationships. For me, as long as I do
  2197. 1:16:06not observe it, it does not exist. But
  2198. 1:16:09there is no problem with something
  2199. 1:16:10existing for you and not for me,
  2200. 1:16:11because we have contradictory views.
  2201. 1:16:14But we are not unrelated to each other.
  2202. 1:16:16Relationship is everything. You might
  2203. 1:16:18be a bit in shock at this point, but
  2204. 1:16:20for a physicist, having relational
  2205. 1:16:22magnitudes or potentially contradictory
  2206. 1:16:24positions is something natural. That
  2207. 1:16:26things are relational can be seen, for
  2208. 1:16:28example, in motion. It is a key element
  2209. 1:16:30in Galileo's relativity or Einstein's
  2210. 1:16:32relativity. It is also relational. And
  2211. 1:16:34the same happens with electromagnetism,
  2212. 1:16:36another relational theory. There are
  2213. 1:16:37also famous physics paradoxes that
  2214. 1:16:39arise from this appearance of a priori
  2215. 1:16:41contradictory points of view. An
  2216. 1:16:43astronaut falling into a black hole,
  2217. 1:16:45from the outside, we would see them
  2218. 1:16:46slowing down until they appear frozen
  2219. 1:16:48on the surface without entering. The
  2220. 1:16:50astronaut, however, does not feel that,
  2221. 1:16:52only how they are falling in, with
  2222. 1:16:54increasing speed, heading toward the
  2223. 1:16:55center. He does not stop. To one he is
  2224. 1:16:57stopped, to the other he is entering a
  2225. 1:16:59black hole, and both are correct. Well,
  2226. 1:17:01they are two different visions, no
  2227. 1:17:03problem there. The answer is both,
  2228. 1:17:04because since there is no way to share
  2229. 1:17:06information, there is no paradox. The
  2230. 1:17:08same thing happens with the other
  2231. 1:17:10famous relativity paradox, the twin
  2232. 1:17:11paradox. Two twin astronauts can both
  2233. 1:17:14think the other is younger than them
  2234. 1:17:17due to space travel, and both are right
  2235. 1:17:19. Two people who say the other is
  2236. 1:17:21younger than them, and at the same time
  2237. 1:17:24, both are correct. Yes, it sounds like
  2238. 1:17:26it makes no sense, but in relativity,
  2239. 1:17:28it is resolved relationally. Neither
  2240. 1:17:30knows about the other, nor can they
  2241. 1:17:31communicate with one another. So the
  2242. 1:17:33paradox doesn't actually exist outside
  2243. 1:17:35of our minds. And we can go beyond
  2244. 1:17:37physics. In biology, living systems are
  2245. 1:17:39relational to the environment. In
  2246. 1:17:41chemistry, in economics, in psychology.
  2247. 1:17:44Relational theories are everywhere. It
  2248. 1:17:46is not so strange that a German
  2249. 1:17:48philosopher 400 years ago thought that
  2250. 1:17:51relationships between things shape
  2251. 1:17:53reality, a reality that exists based on
  2252. 1:17:56those relationships. There was an
  2253. 1:17:58Indian philosopher, Nagarjuna, who in
  2254. 1:18:00the second century AD asked what was
  2255. 1:18:02fundamental in the universe. It was in
  2256. 1:18:05his work, "Verses on the Fundamentals
  2257. 1:18:06of the Middle Way." Nagarjuna arrived
  2258. 1:18:08at a relational view of the world very
  2259. 1:18:10similar to the one we just described.
  2260. 1:18:13Only the relationships between things
  2261. 1:18:15exist, not the objects themselves.
  2262. 1:18:17Everything exists in that dependency,
  2263. 1:18:19that relationship. To that lack of
  2264. 1:18:21inherent existence, Nagarjuna called it
  2265. 1:18:23sunyata, emptiness. My "self" would
  2266. 1:18:25also play a role in that network of
  2267. 1:18:26connections. What I perceive, what I
  2268. 1:18:28feel, what I think. It would only exist
  2269. 1:18:32in relation to other things as an
  2270. 1:18:34element of that network of interaction
  2271. 1:18:35in which, deep down, fundamentally,
  2272. 1:18:37there is nothing, nothing, nothing.
  2273. 1:18:41Isn't that incredible? Well, I hope, my
  2274. 1:18:43friends, that you enjoyed this marathon
  2275. 1:18:45video, which, by the way, sets a record
  2276. 1:18:46again, over an hour of spectacular
  2277. 1:18:48video. It has been an immense effort
  2278. 1:18:51over several weeks. For the first time,
  2279. 1:18:53it took me a week to write a script,
  2280. 1:18:55dedicating day after day and several
  2281. 1:18:57weeks to prepare it. And as always,
  2282. 1:18:59when we reach this point, I want to
  2283. 1:19:01share a little bibliography with you in
  2284. 1:19:03case you are curious. This is only part
  2285. 1:19:05of the bibliography consulted because,
  2286. 1:19:07well, I have read a lot about quantum
  2287. 1:19:08mechanics and not all the books are
  2288. 1:19:09included here. Here are just the ones I
  2289. 1:19:12directly based myself on to draft this
  2290. 1:19:14history script, because I included
  2291. 1:19:16historical facts about Heisenberg's
  2292. 1:19:18life, "Beyond Uncertainty," the whole
  2293. 1:19:20topic of quantum mechanics
  2294. 1:19:21interpretation, Lee Smolin...what I
  2295. 1:19:23mentioned about Schrödinger's life.
  2296. 1:19:26All the history of quantum physics I
  2297. 1:19:28basically pulled from here along with
  2298. 1:19:29other books, but mainly from here. And
  2299. 1:19:32finally the book I mention by Carlo
  2300. 1:19:33Rovelli, which was fundamental for
  2301. 1:19:35drafting this script, well, Helgoland,
  2302. 1:19:36where he explains his relational theory
  2303. 1:19:38. Well, that's all, my friends, I'll
  2304. 1:19:40sign off now. A new season of the blog
  2305. 1:19:42begins on a high note. I hope it
  2306. 1:19:44excites you, that you tune in, and that
  2307. 1:19:46we are here enjoying physics, knowledge
  2308. 1:19:48, and the world. A kiss to you all, and
  2309. 1:19:50as always, put your brains to work and
  2310. 1:19:51study, because one of you could be the
  2311. 1:19:53next one, see you in the next one. See
  2312. 1:19:54you as always, see you as always in the
  2313. 1:19:56next video, you little scallywags. See
  2314. 1:19:58you soon.

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