Gravity Might Not Work The Way We Think — Transcript
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- 0:00I think we're going wrong at trying to
- 0:02quantize space time. On one hand, we
- 0:04have quantum theory [music] and on the
- 0:06other hand, we have general relativity
- 0:08and we know that both theories are
- 0:11[music] correct, but we also know of
- 0:13scales where we should expect them to
- 0:15interplay and we don't know how to
- 0:18describe [music]
- 0:18the physics at at those scales. The way
- 0:21to resolve the problems of quantum
- 0:23mechanics is by introducing the
- 0:25gravitational effects. How could we use
- 0:28quantum systems like Bose-Einstein
- 0:30[music]
- 0:30condensates to measure general
- 0:33relativistic effects?
- 0:40>> Thanks so much for, yeah, meeting me
- 0:42today, Eva. The first question I had was
- 0:44around well, quantum theory and general
- 0:47relativity. And you know, these are two
- 0:49big pillars of modern physics, yet
- 0:53for over a century, we've struggled to
- 0:55reconcile them. So,
- 0:57where you know, where do you think we're
- 0:58going wrong?
- 0:58>> I'm going to say things that are quite
- 1:00bold, I think. I [snorts] think we're
- 1:02going wrong at trying to quantize space
- 1:05time. Well, in quantum theory, we have
- 1:07that time is absolute, so all the clocks
- 1:10tick at the same rate. Doesn't matter
- 1:12the state of the observer and in general
- 1:14relativity, we have that time is
- 1:16relative, no? So, clocks at different
- 1:19observers tick at different rates.
- 1:21So, let let's think about a simple
- 1:23situation where you when
- 1:26the way you describe time becomes
- 1:28relevant. So, if I have a mass and I
- 1:30believe general relativity, the mass
- 1:32curves space time. And what happens is
- 1:34that at every point, a clock will tick
- 1:37at a different rate. But now I have a
- 1:40mass in a superposition of two different
- 1:42locations. So, choose any point in time
- 1:45in the space time, you will have a clock
- 1:48that ticks at two different rates at
- 1:50each point.
- 1:51So, this is incompatible with quantum
- 1:54mechanics because in quantum mechanics,
- 1:56the equation that we have, the
- 1:58Schrödinger equation, has one time.
- 2:00So, which one would you use? I like how
- 2:02Roger Penrose sometimes poses the the
- 2:05question, which is well, on one hand, we
- 2:07have quantum theory and its principles,
- 2:11and on the other hand, he had uh we have
- 2:13general relativity and for example, the
- 2:14equivalence principle. And then he sees
- 2:17that well, there's two routes.
- 2:19And one route would be to consider the
- 2:23principles of quantum mechanics as
- 2:25fundamental.
- 2:26And then we modify general relativity in
- 2:29order to unify them.
- 2:31And that would be like what modification
- 2:33of general relativity are we thinking
- 2:34about? Well, it basically would be
- 2:37quantizing space-time. But that has not
- 2:40really worked out as we hoped it would.
- 2:42Then the other approach would be to keep
- 2:45the foundations of general relativity as
- 2:49fundamental and then change quantum
- 2:52mechanics in order to unify them. And I
- 2:55agree with Roger that that's the right
- 2:57way to go. Uh
- 2:59because well, quantum mechanics already
- 3:01has uh big problems. We don't know what
- 3:04the quantum state is and we don't
- 3:07understand where probabilities come from
- 3:08and why the wave [clears throat]
- 3:10function collapses.
- 3:11And so, why would you take space-time
- 3:13and now try to quantize it where you
- 3:16already have a theory that's
- 3:17problematic? Whereas I think that the
- 3:19way to solve the problems of quantum
- 3:21mechanics and explain where
- 3:23probabilities come from is by
- 3:25incorporating uh gravity into the
- 3:28picture.
- 3:29And explaining how gravity produces the
- 3:32collapse of the wave function. But that
- 3:34really, it's very interesting because
- 3:35that depends a lot on what is your
- 3:38philosophical standing on, you know,
- 3:41kind of nature. If you think that there
- 3:44are many worlds, many universes, then
- 3:48that incompatibility is actually not
- 3:50there.
- 3:52But if you want to have like a single
- 3:54universe, then that's when you're forced
- 3:57to see that there are inconsistencies
- 3:59between the theories.
- 4:01>> Is Is it fair to say that most
- 4:03physicists are trying to tackle this big
- 4:06problem through
- 4:08quantizing gravity as as you say uh
- 4:11>> If you look at things like we have uh
- 4:13the electromagnetic uh force and and
- 4:16then the weak and the strong and if you
- 4:19see um gravity as you know the piece of
- 4:23the puzzle that should fit in, I guess
- 4:26perhaps that would be um
- 4:29a way that makes sense to get started
- 4:31with.
- 4:32But
- 4:33>> sort of seen as the anomaly perhaps and
- 4:35so it makes sense to try and squeeze
- 4:36that into the box of the other forces
- 4:39that that we know about.
- 4:40>> Well, I mean when you have two theories
- 4:42and um and they're both right in their
- 4:44own scale. So, if you go to large
- 4:46scales, general relativity um has been
- 4:49tested many times. Now, we have the
- 4:52amazing success of LIGO that discovered
- 4:54gravitational waves that were predicted
- 4:56by the theory.
- 4:58And we've done so many experiments also
- 5:02testing the theory and and it's uh the
- 5:05predictions uh and the comparison with
- 5:07experiments is super accurate. So, it
- 5:10works really well. So, we know that both
- 5:12theories are correct. But, we also know
- 5:15of scales where we should expect them to
- 5:17interplay and that's the problem where
- 5:21we don't know how to describe uh physics
- 5:23at at those scales.
- 5:25>> And that's where perhaps the opportunity
- 5:27is to really figure out what what is
- 5:29going on by exploring this this boundary
- 5:31between between the two.
- 5:32>> Yes.
- 5:33>> Can you just Yeah, pull back and tell me
- 5:35the different approach you're taking in
- 5:37answering this question?
- 5:39>> When I met Roger and we started to talk
- 5:41about um different ideas, he told me
- 5:45about um
- 5:47his work on testing
- 5:50um if gravity collapses the wave
- 5:52function.
- 5:53>> But what would it mean for gravity to
- 5:54collapse the the wave function? And what
- 5:56I maybe this pulls us back to this idea
- 5:58of the the measurement problem perhaps
- 6:00as well.
- 6:00>> Yes, it touches on on almost all the
- 6:03fundamental questions in the interface
- 6:05of quantum theory and and and and
- 6:07general relativity. Um and we I was
- 6:11telling you before that sometimes like
- 6:13your philosophical standing on what the
- 6:16universe is or um the fabric of reality
- 6:19is um makes you take either one route or
- 6:22or another.
- 6:23>> Mhm.
- 6:23>> Right? So um Roger was interested in
- 6:26gravity collapsing the wave function um
- 6:30because he's not very uh supportive of
- 6:33many worlds for example. So
- 6:35>> And many worlds is is the idea that
- 6:37yeah, there are many almost almost
- 6:38parallel universes and and that's a way
- 6:40to make sense of the measurement
- 6:42problem.
- 6:42>> Yes.
- 6:43>> Right?
- 6:43>> So let's go to the simple situation
- 6:45where you have one atom that can be
- 6:48either in the left or or the right. So
- 6:52um in quantum mechanics we describe that
- 6:54with um the wave function. But the
- 6:56problem that we have in quantum
- 6:58mechanics is that we don't know what the
- 7:00state of the quantum system is in terms
- 7:02of physics. We can write it down
- 7:05mathematically and it has a a very
- 7:07precise mathematical meaning. But how do
- 7:10we connect that to physics? So you would
- 7:13say to object uh uh
- 7:16um elements of reality
- 7:17>> Mhm.
- 7:18>> we haven't been able to do that uh for
- 7:20100 years. So then there are different
- 7:23um
- 7:24ways of uh trying to make sense of what
- 7:27the wave function is.
- 7:28>> Yeah, because it has all of these
- 7:30possibilities within it and we seem to
- 7:33exist in one reality.
- 7:35>> Well, because like so you you have the
- 7:37the wave function and then you need to
- 7:40add another ingredient out of your
- 7:42pocket, which is the measurement.
- 7:44>> Mhm.
- 7:44>> So, this is the Born rule. So, then you
- 7:47say, "Okay, I have this uh state,
- 7:49but when I measure, I collapse the wave
- 7:52function.
- 7:53>> Mhm.
- 7:53>> So, suddenly probabilities come out of
- 7:56the blue.
- 7:57>> Mhm.
- 7:57>> Nothing explains where these
- 7:58probabilities come from. They're just
- 8:01postulated by the Born rule. So, these
- 8:04are two different things that we don't
- 8:06understand. We don't understand what is
- 8:09the quantum state exactly, and we don't
- 8:11understand why we need to put in the
- 8:13probabilities in this way.
- 8:15>> Mhm. There seems to be some inherent
- 8:18element of chance in nature, and that's
- 8:21something which you don't know what you
- 8:22know, it's hard to explain what where
- 8:24where it where it comes from, and some
- 8:26people really dislike that.
- 8:28>> Yes, and I I spend a lot of time talking
- 8:31to my students about what is uh we know
- 8:34so far about quantum mechanics. I love
- 8:36to discuss these issues with them, and
- 8:39they get very confused about uh
- 8:41probabilities because we're very used to
- 8:44talking about probabilities in in life,
- 8:48right? I mean, even if you're talking
- 8:50anything, we talk about uh uh
- 8:52probabilities, but they're not really
- 8:54fundamental. So, let me explain what I
- 8:57mean by that. Uh let's say you have a
- 8:59coin, and you toss the coin, and then
- 9:01you have 50/50 probability that it's
- 9:03heads or tails. This is not like a real
- 9:05probability. Why? Because if I hit the
- 9:08coin, imagine I have a supercomputer.
- 9:10Now, we have like, you know,
- 9:12>> [laughter]
- 9:13>> and and I could tell you exactly what
- 9:16happened with the way I hit it, um the
- 9:19state of the molecules in the air. I had
- 9:22control of everything. This is not a
- 9:24quantum system. This is dictated by
- 9:27classical physics.
- 9:28So, um it looks probabilistic because
- 9:31I'm ignoring all the details.
- 9:33>> Mhm.
- 9:33>> So, if I ignore all the details,
- 9:36it's 50/50. But, if we took all the
- 9:38details into account,
- 9:41then there would be no mystery. It would
- 9:43I could tell you exactly it's going to
- 9:45be heads because of
- 9:47all the equations and and so on.
- 9:51What happens with quantum mechanics is
- 9:52that we have probabilities that are not
- 9:56obtained by a deeper understanding of
- 10:00the system, the details.
- 10:01>> Yeah, no matter how well you know it,
- 10:02you're not going to be able to explain
- 10:04Yeah, the origin of the system. So it
- 10:06seems to be some intrinsic part of
- 10:09reality, but that again is part
- 10:11>> It looks like there is a part of reality
- 10:12that is missing.
- 10:14Or at least in our account of it.
- 10:16>> So So then how did Penrose, for example,
- 10:19try and Yeah, what you know, what was
- 10:21his take on that and the best way to try
- 10:23and make sense of that?
- 10:24>> He wants also to explain why in the
- 10:26classical world we don't see these
- 10:29superpositions. We do see them in the in
- 10:32microscopic scales because you can take
- 10:35an atom and hit it with a laser,
- 10:39put the state of the atom to go left and
- 10:41right in a quantum superposition, then
- 10:44reflect it back with the some fields,
- 10:46and this is called an interferometer,
- 10:48and you can see measurements that show a
- 10:51wave type behavior. So we call this an
- 10:54interference pattern. So we can see an
- 10:56interference pattern if we make an atom
- 11:00go through a superposition of two
- 11:02different, say, trajectories.
- 11:05We are sure about this because we've
- 11:07made many experiments that confirm this.
- 11:10But in the classical world we just see
- 11:12this glass either here or there.
- 11:14So it
- 11:15So the idea is that and it comes also
- 11:18from Lajos Diósi, which two years before
- 11:23also independently proposed this this
- 11:26idea and that mass is is relevant here.
- 11:29In the microscopic world we have very
- 11:31little mass.
- 11:32And in the classical world, we have a
- 11:35lot more mass. So, I think it makes a
- 11:37lot of sense to
- 11:39uh propose that it's actually you know,
- 11:41mass is playing a role. But, how is mass
- 11:44playing a role? Well, through the
- 11:46gravit- the the gravitational effects
- 11:48that it produces.
- 11:49>> Mhm. So, so we sort of know that, you
- 11:51know, gravity works very well in this
- 11:54more macroscopic realm realm rather, and
- 11:57quantum theory is working very well in
- 11:59yeah, with very small things. But, then
- 12:01if you're trying to make sense of what
- 12:03happens when in the in this middle
- 12:04ground here, then mass would seem to be
- 12:06the
- 12:07>> Yes.
- 12:07>> the way to enable that.
- 12:09>> No, we know the classical world works
- 12:11cuz we can make many experiments here
- 12:13and Newton's uh laws is going are going
- 12:16to explain very well. And Maxwell's
- 12:19equations are going to explain very well
- 12:20what what happens. And if we go to the
- 12:23microscopic world, we can do all these
- 12:25atom interferometers, and and that's
- 12:27going to the predictions that the theory
- 12:30makes are going to be tested, and
- 12:31they're going to be correct.
- 12:33The interface is a problem, and how do
- 12:36you go from a world where you have
- 12:38superpositions to another world where
- 12:40things only are in one place at the
- 12:42time. So, I think Roger found that we
- 12:44need to learn to understand how gravity
- 12:47affects quantum mechanics,
- 12:49>> Mhm.
- 12:49>> not how like let's say we change general
- 12:53relativity
- 12:55to unify it with gravity. So, he calls
- 12:57it more like gravitize
- 12:59um a quantum theory, which is
- 13:03uh learning how gravity affects quantum
- 13:06mechanics.
- 13:07>> So, it's not sort of saying that one is
- 13:09necessarily more right than the other.
- 13:10You're just saying that they have they
- 13:12have to find a way for them to to yeah,
- 13:14align it at at some point.
- 13:17>> I think in this middle place, you have
- 13:19to change them somehow both.
- 13:21>> Mhm. Okay.
- 13:22>> But, but here you have GR.
- 13:23>> Yeah.
- 13:24>> And then here you have quantum
- 13:25mechanics, but there is a place where
- 13:28scales at which both
- 13:31interplay.
- 13:32And
- 13:33you you you have to change both somehow
- 13:37at the scales, but you need to have a
- 13:39theory, the new theory has to
- 13:42reduce to these two theories at the
- 13:44right scales because we know those are
- 13:46right.
- 13:46>> Um um what do you think is is
- 13:48essentially happening there at that
- 13:50scale?
- 13:50>> I think that the definitely gravity is
- 13:53the culprit.
- 13:55I think gravity
- 13:57>> this collapse of of the superposition?
- 13:59>> Yes. Yes. And also what I like about it
- 14:03is that when you get, let's say again,
- 14:05the atom in a superposition of left and
- 14:08right.
- 14:08>> Mhm.
- 14:09>> People that work in many worlds, how
- 14:11they would understand this is that they
- 14:13would say, "Okay, there is a universe
- 14:16where the particle is on the right, and
- 14:19you and I see the particle on the right.
- 14:22So we're entangled in that
- 14:24state." And there's another branch of
- 14:26the universe where the particle is on
- 14:29the left, and you and I agree, and if we
- 14:32measure that it's on the left. So that's
- 14:34how you get these two universes.
- 14:36>> Mhm.
- 14:37>> But what collapse would
- 14:40would say is that, "Well, but if the
- 14:42particles are big enough, then this will
- 14:45collapse the wave function into one
- 14:48possibility, either left or right. Then
- 14:51we have one single universe."
- 14:53>> Mhm.
- 14:53>> And I like the idea of one single
- 14:56universe. And this is why I was saying
- 14:58like your philosophical standing has
- 15:01a big effect in the physics that you do
- 15:04because if you wake up and you say, "I
- 15:06want a single universe." You know,
- 15:09>> [laughter]
- 15:09>> you will try to build theories and that
- 15:13that explain. You might be wrong, you
- 15:15know, and and that's what that's why
- 15:17it's good to have other people that say,
- 15:19"No, I I'm super happy with the idea of
- 15:22having
- 15:23many worlds.
- 15:24>> So, you're sort of accepting that
- 15:26you have this singular quantum world,
- 15:28but within that world, you can have
- 15:30these strange, seemingly strange to us,
- 15:32things happening where you have,
- 15:34um, you know, particles existing in many
- 15:37states, but you would then also have
- 15:40your single general relativity universe,
- 15:43and you find a way to link them
- 15:44together.
- 15:45>> Yes.
- 15:46>> Rather than saying, "Oh, because of this
- 15:48weirdness in the quantum world, that
- 15:50means we have to invoke many, many
- 15:52realities to try and make sense of
- 15:54this."
- 15:55>> When you have, um,
- 15:57things are not very massive,
- 15:58>> Mhm.
- 15:59>> you can have them in these quantum
- 16:00superpositions, where we know you you
- 16:02have them. But, when they become more
- 16:04massive, then these superpositions are
- 16:07unstable, and they collapse into one
- 16:10classical outcome, and that explains why
- 16:13we don't see superpositions in the
- 16:15classical world. For me, this idea makes
- 16:17a lot of sense.
- 16:18>> How do you propose that we test who is
- 16:21right, the the men the many worlds camp,
- 16:24or the gravitizing quantum theory camp?
- 16:27>> I I don't know how you test if, um, many
- 16:31many worlds, um,
- 16:34but I do know that if you test that
- 16:36gravity collapses a wave function, this
- 16:39would, um, imply that there are not many
- 16:42worlds. So, you would falsify it in that
- 16:44sense. Now, but let's say that nature is
- 16:46not like that.
- 16:47>> Yeah.
- 16:48>> And that, uh, actually there are many
- 16:50worlds. For every single possibility,
- 16:54you have all these different, uh,
- 16:55branches.
- 16:56>> Mhm.
- 16:57>> So, how would you test that you have,
- 17:00indeed, like an infinite number of yous
- 17:04>> Mhm.
- 17:05>> living different experiences at the
- 17:07time, because what many worlds also says
- 17:09is that quantum mechanics doesn't only
- 17:11apply to the world where you have little
- 17:13mass and microscopic scales and so on,
- 17:16but applies universally.
- 17:18>> Mhm.
- 17:18>> So, it applies also to scales where you
- 17:20and I live, and the consequences of that
- 17:23it would be that there are an infinite
- 17:25number of us living different
- 17:27experiences.
- 17:28>> Mhm.
- 17:28>> And although it sounds super cool and a
- 17:30lot like science fiction, and now being
- 17:33serious, I don't like it. I don't like
- 17:35the idea of a a universe that's like
- 17:38that.
- 17:39>> a lot of baggage there. Yeah,
- 17:40potentially.
- 17:41>> So, I I mean, I wanted to just go back
- 17:43to what ultimately led
- 17:45>> you to study or physics, yeah, become a
- 17:47a physicist.
- 17:48>> I started to think that I would like to
- 17:50understand how from the interactions of
- 17:53atoms
- 17:54uh we got thought.
- 17:57And I started to ask people around me,
- 18:00what do I have to study to understand
- 18:02how thought emerges from the
- 18:04interactions of atoms? And everybody was
- 18:07like, what?
- 18:08>> Yeah.
- 18:08>> And nobody could tell me what to do, and
- 18:11eventually I gave up, and I thought,
- 18:12well, physics is also interesting.
- 18:14[laughter]
- 18:15>> So, then you studied physics, and then
- 18:18you when you started to to specialize,
- 18:21how did that then lead you towards these
- 18:23uh questions around how to connect
- 18:26quantum theory to gravity?
- 18:28>> I studied in uh UNAM in Mexico.
- 18:30>> Mhm.
- 18:31>> And I
- 18:32uh was very inspired by a teacher of
- 18:34mine. She was an astronomer,
- 18:36>> Mhm.
- 18:36>> uh Deborah Dultzin. And she was working
- 18:38with Seyfert galaxies, astrophysics, and
- 18:40I ended up working with her, and my
- 18:42first paper is on Seyfert galaxies and
- 18:45black holes in the middle of galaxies
- 18:47and and so on. But then I I felt that um
- 18:51I was not really going into the
- 18:54fundamental questions. So, I then turned
- 18:57into quantum optics. I was um uh in the
- 19:01cafeteria and a friend of mine told me
- 19:03about the experiments that Anton
- 19:05Zeilinger had just done or Haroche and
- 19:09Wineland trapping single atoms, uh and
- 19:12and I thought, this is going to get very
- 19:14interesting because these experiments
- 19:17are going to give us answers to some of
- 19:20these questions.
- 19:21>> You've also spoken about
- 19:23you know, feeling almost lost in maths
- 19:26at some point in your
- 19:27career. Was that you know, what were
- 19:29what was happening there and then how
- 19:31did you find your way back to trying to
- 19:34you know, make sense of all of this?
- 19:36>> So, at the moment you you really
- 19:38sometimes some things you're not really
- 19:40aware of, but when you look back, that's
- 19:42when sometimes everything makes sense.
- 19:45And what I can see that the approach
- 19:47that is important for me has always been
- 19:51that physics has
- 19:53the possibility of being tested in the
- 19:55experiment. This is what really like I
- 19:58find
- 19:59very exciting. And if you can't propose
- 20:02an experiment or
- 20:04you maybe you can, but you know, it's
- 20:07really
- 20:0925 years plus
- 20:12for one to maybe be able to test things
- 20:16and so on, then I lose interest because
- 20:19what really motivates me is that we can
- 20:21propose an experiment and test if these
- 20:23ideas are right or not, hopefully in my
- 20:25lifetime.
- 20:26>> [laughter]
- 20:27>> I started to do things that I wasn't
- 20:29aware they were quite new of applying
- 20:32the techniques that I had learned from
- 20:33quantum information, measures of
- 20:35entanglement, classical correlations
- 20:38versus quantum correlations
- 20:40to situations in black holes or the
- 20:43expanding universe. This is what now
- 20:46people call relativistic quantum
- 20:48information. But now these beautiful
- 20:50questions on
- 20:52the interaction between space-time and
- 20:54quantum fields, I can then combine them.
- 20:57I wasn't aware that was quite like a new
- 21:00thing to do.
- 21:01>> Yeah, you just saw this possibility for
- 21:03this connection.
- 21:04>> What happens with quantum optics is that
- 21:06it's a test bed to
- 21:09learn about the basic interactions
- 21:11between
- 21:12matter and fields
- 21:14treating them both quantum mechanically,
- 21:17but it's also back in the day it was
- 21:19like year 2000. People were very
- 21:22interested in can we compute with
- 21:24quantum systems so that are the
- 21:25beginnings of quantum computing of
- 21:27quantum cryptography of teleportation.
- 21:31So how can we learn to manipulate the
- 21:35systems using quantum optics that was
- 21:38quite interesting.
- 21:39>> But then you saw that actually some of
- 21:41these similar ideas might have
- 21:44application in this other area.
- 21:47>> In in gravity, yes.
- 21:48>> So yeah, tell me about what questions do
- 21:50you think we might be able to to ask
- 21:52through combining these two?
- 21:53>> Yes, I was working on this sort of
- 21:56problems and I learned how to calculate
- 21:58entanglement and other other aspects of
- 22:01these interactions.
- 22:03And then I was at the Perimeter
- 22:05Institute I went into a talk of a
- 22:07quantum field theory in curved space
- 22:09time and people were looking at things
- 22:11like the expansion if you consider a
- 22:14field living on space time and the space
- 22:17time expands then that creates particles
- 22:22for example or what happens with a black
- 22:24hole if you describe a field in the
- 22:28space time of a black hole from
- 22:29different observers and so on so then I
- 22:33noticed that there was an analog between
- 22:37the space time and in quantum optics a
- 22:40crystal.
- 22:40>> What do you mean in an analog they they
- 22:43just had similar characteristics?
- 22:45>> Mathematically the mathematics
- 22:46underpinning the two type of problems
- 22:48were exactly the same. So let's say in
- 22:50quantum optics you have a crystal could
- 22:53be like a crystal like a beam splitter
- 22:56and then you have a quantum field that
- 22:58arrives to it. So let's say when the
- 23:01field is arriving it's in the vacuum
- 23:03state or in we have one photon or some
- 23:06quantum state. And then inside the
- 23:08crystal is very difficult to describe
- 23:10what's happening to the field because
- 23:12it's very complicated, but then when the
- 23:15light comes out, you can all describe it
- 23:18mathematically well. So then there are
- 23:20all these techniques called Bogoliubov
- 23:22transformations that allow you to
- 23:23describe what's coming in from what's
- 23:25going out.
- 23:27And that depends on the type of crystal
- 23:29you have. You can also have uh something
- 23:31called a non-linear crystal that
- 23:33produces pairs like in a black hole.
- 23:36So I started to see that, you know, the
- 23:38way that you could treat in quantum
- 23:39optics the interaction of light with a
- 23:42crystal was actually mathematically the
- 23:44same as
- 23:46um having
- 23:47um some uh quantum fields in in
- 23:51space-time. So you also have uh
- 23:53Bogoliubov transformations. So you think
- 23:55about the past infinity having a flat
- 23:58space-time, let's say. And some the
- 24:01state could be in the vacuum, then the
- 24:03universe expands and then you can
- 24:05describe what happens in the future with
- 24:08a Bogoliubov transformation.
- 24:09>> And that's that transformation it is an
- 24:11attempt to try and apply quantum theory
- 24:13to general relativity, but not in a in a
- 24:16precise way. Is that is that fair to
- 24:18say?
- 24:19>> Well, we call it like you could say like
- 24:21it's a semi-classical approach.
- 24:23It allows you to answer a lot of
- 24:25questions. That's why I got very
- 24:26interested in it.
- 24:27>> You're sort of seeing how these two
- 24:28things maybe rub up against each other,
- 24:30but it's not it's not like a
- 24:32perfect theory. And then you saw there
- 24:35was this mathematics that was used in
- 24:37this very testable experimental field,
- 24:40and that might be able to help to find a
- 24:42way to like yeah.
- 24:43>> Yeah, so I I noticed that I had learned
- 24:45things that I could apply now to these
- 24:47questions about black holes.
- 24:49I got very excited about that. I made
- 24:51some progress with that. Actually, my
- 24:53most cited work is the work that I did
- 24:56with this sort of ideas. But then I
- 24:58decided to leave the field.
- 25:00>> You changed your mind.
- 25:02>> So I opened it and then I thought I'm
- 25:04going to leave the field because I I
- 25:06noticed that you could not test things.
- 25:09So when I first it was like a
- 25:12learning curve. And I tried to like
- 25:17learn things about what happens with
- 25:20entanglement from the perspective of
- 25:22different observers.
- 25:23For example.
- 25:25Um but then when I wanted to
- 25:28propose an experiment, I started to
- 25:30notice, oh my god, none of these That's
- 25:33when I was lost in maths.
- 25:34>> Hm, okay.
- 25:35>> None of these
- 25:37effects that I am finding, that I'm
- 25:40predicting, are there, are really like
- 25:43anywhere close to being tested in the
- 25:45experiment.
- 25:46>> Hm.
- 25:46>> And that's when I decided to
- 25:48to leave, let's say, the field that I
- 25:51helped
- 25:52develop. I I thought this I I don't I I
- 25:55don't want to move in that direction.
- 25:58>> Hm. So then what has been your main then
- 26:00con- concern since then?
- 26:02>> So evolving in parallel to quantum
- 26:04information, there was another field
- 26:06called quantum metrology.
- 26:08>> Okay.
- 26:08>> So quantum metrology is again about
- 26:10using quantum systems, but now to
- 26:13measure parameters that come into your
- 26:17Hamiltonian, let's say, in your
- 26:18interactions, like frequencies,
- 26:21time, gravitational field strength,
- 26:24magnetic field strength. So they're not
- 26:26observables, they're not like quantized
- 26:30quantities, but they're parameters that
- 26:33come up in in your system.
- 26:34>> So the this is a a new way of sort of
- 26:37Yeah, testing quantum systems very
- 26:39precisely in ways that go go beyond
- 26:42Yeah, measuring that go beyond, say,
- 26:44like quantum optics, if that makes
- 26:45sense. So this new field of quantum
- 26:48metrology allowed you to start uh
- 26:51questions around
- 26:53where quantum theory and general
- 26:55relativity might overlap. How were you
- 26:57able to to use these different
- 27:00techniques to really start asking this
- 27:02core question that you were interested
- 27:04in?
- 27:04>> Yeah, so I thought there was a lot to
- 27:06learn in the interplay of
- 27:09uh general relativity and quantum
- 27:11mechanics
- 27:12through quantum field theory in curved
- 27:13spacetime, no? Which basically assumes
- 27:16like the spacetime is classical, it's
- 27:19not a quantum thing. And then you study
- 27:22how fields behave when you know they're
- 27:26like lying on that as a spacetime.
- 27:29>> So you're able to kind of see how that
- 27:30that sort of work start start to like
- 27:32prod a bit how how they might work
- 27:34together.
- 27:35>> So it allows you like that say it would
- 27:37be a theory that allows you to take the
- 27:38first steps in order to understand how
- 27:41they interact. But the sort of things I
- 27:44was doing could not be tested in the
- 27:46experiment. And then I thought
- 27:49well, maybe we can apply now all the new
- 27:52techniques of quantum metrology and try
- 27:55to think about how could we use quantum
- 27:57systems
- 27:59like Bose-Einstein condensates, that we
- 28:01can talk about that what they are later
- 28:04to measure general relativistic effects.
- 28:07So for example, gravitational waves
- 28:10or dark energy, dark matter. Um so and
- 28:15and I've noticed that that was also not
- 28:17something that was there and that we had
- 28:21the chance in my group to
- 28:23make some first steps in that direction.
- 28:25And then I I I I moved in in that
- 28:28direction.
- 28:28>> And you mentioned there gravitational
- 28:30waves, dark matter, dark energy. That
- 28:32these are phenomena that we observe in
- 28:34some sense out in the universe, but we
- 28:36don't maybe have a good understanding
- 28:38necessarily of what what all of them
- 28:39are. So this allows you to maybe think
- 28:41about whether they might have a quantum
- 28:44origin and to test that using these
- 28:46quantum experiments.
- 28:48>> Yes.
- 28:49>> And and you mentioned Bose-Einstein
- 28:51condensates and that it's been something
- 28:52which comes up quite a lot in the
- 28:54research that you do. So, what you know,
- 28:57what are they and why does that allow
- 28:59you to ask these questions?
- 29:01>> Yes.
- 29:02Yes, I I think it's a
- 29:03beautiful system. So, when we learn
- 29:06quantum mechanics in the second year,
- 29:08one of the first sort of um
- 29:11uh problems that we solve with quantum
- 29:13physics is thinking about having a a
- 29:16potential. So, you can imagine like an
- 29:18electromagnetic field forming some sort
- 29:21of um cup or something like this that
- 29:23could [snorts] hold atoms.
- 29:25And and so, you study like how an atom
- 29:29behaves inside this uh potential. So,
- 29:31it's trapped in there.
- 29:33And if you cool down the atom, so you
- 29:35take all its energy as much as you can,
- 29:38then it goes into what we call the
- 29:41ground state. So, the state with lowest
- 29:43energy. But the beautiful thing about
- 29:46this system is that the atom becomes it
- 29:49has a almost no energy. You can never
- 29:51have zero energy, but it has very little
- 29:54energy, but the atom becomes delocalized
- 29:58in the whole potential.
- 29:59>> What what does that mean?
- 30:00>> Yeah. So,
- 30:01>> [laughter]
- 30:03>> So, in quantum mechanics, you Well, in
- 30:05classical physics, you can have the
- 30:06glass being either here or there.
- 30:10But we can have an atom being in a
- 30:12superposition of being here and there
- 30:15in in the quantum states. Well, now we
- 30:17go into foundations of quantum mechanics
- 30:19because for 100 years, we haven't been
- 30:21able to understand what that is. But I'm
- 30:23not going to go in that direction now.
- 30:25Just let's assume that you can have an
- 30:28atom in two different places at the same
- 30:30time. But now in this potential, when
- 30:33you cool down the atoms to the ground
- 30:35state, it can be everywhere
- 30:38>> Okay.
- 30:39>> Okay, so it's not just this state and
- 30:41that state, but it's
- 30:43>> And that what I I I mean like it's
- 30:45delocalized within the potential.
- 30:48>> Do these
- 30:49Bose-Einstein condensates behave in a
- 30:51very strange way because of that?
- 30:54>> Well, that's where just talking about
- 30:55one atom that is delocalized. Now think
- 30:58about putting I don't know 10 to the
- 30:59five, 10 to the six atoms
- 31:02in in the ground state. So atoms behave
- 31:06under some circumstances like bosons.
- 31:09That just means let's say to put it easy
- 31:12that they can occupy the same
- 31:14uh quantum state.
- 31:16So you can cool them all down to the
- 31:19ground state of that uh potential.
- 31:22And that is what you would call sort of
- 31:23the the bulk of the BEC. So imagine it a
- 31:27little bit like the ocean maybe.
- 31:29But then um the atoms because they're in
- 31:32a in a potential, they always interact.
- 31:35You cannot get rid of the interaction.
- 31:37So you that's one of the reasons why you
- 31:38can't get absolute zero.
- 31:41So when they interact, they create like
- 31:42little waves. So you can imagine the
- 31:45system as this ocean of everything in
- 31:48the ground state, but then little
- 31:50quantum excitations that are waves
- 31:53living on top of it.
- 31:55So what I found with my team is that the
- 31:57waves are relativistic quantum field.
- 32:01They're super sensitive to anything
- 32:03gravitational. So if you have a
- 32:05gravitational wave,
- 32:07those excitations, if you prepare them
- 32:09in squeezed states or some special uh
- 32:12they will be they will change due to
- 32:14what the space-time is doing.
- 32:16>> So you you have these systems that are
- 32:20you know hundreds of thousands if not
- 32:21millions of of the of these particles
- 32:24because of this special quantum state
- 32:26they're in, and because you have so many
- 32:29particles, then they're also going to be
- 32:32affected by gravity. Is that the kind of
- 32:34idea?
- 32:35>> Yes.
- 32:35>> So you then have this quantum field as
- 32:37you say, but it also is susceptible to
- 32:41gravity and and so you're able to start
- 32:43seeing how they yeah how how one affects
- 32:47the other. Is that is that broadly kind
- 32:48of right or wrong?
- 32:49>> we saw that it was very sensitive.
- 32:51Exactly. Yeah, no it's completely right.
- 32:54So then we applied the techniques of
- 32:55quantum metrology to try to find what
- 32:58states are the best states that you can
- 33:00prepare so that you can detect
- 33:03gravitational waves. And at the time
- 33:05this was a very crazy idea because um um
- 33:09people were
- 33:10actually we wrote this paper and I think
- 33:14a year later uh LIGO detected
- 33:16gravitational waves for the first time.
- 33:18But the proposal that we have is for
- 33:20high-frequency gravitational waves where
- 33:22the LIGO loses uh sensitivity. So it's
- 33:24not like a competing thing is there like
- 33:26different scales.
- 33:28But at the beginning it was very
- 33:29difficult to convince the community that
- 33:32this made sense because LIGO is so big.
- 33:34It's Each arm is like 3 km. So then I
- 33:38was saying in 100 micrometer
- 33:41where the BEC lives you can detect
- 33:43gravitational waves
- 33:45people were finding this uh
- 33:47hard to to believe at the time.
- 33:50>> could be that sensitive to it?
- 33:52>> be that yes. So um
- 33:54it took me a lot of effort to explain
- 33:57that I'm not using a normal
- 33:59interferometer which is an
- 34:00interferometer in space. So you have to
- 34:03be make it very big to make it
- 34:05sensitive, but I'm building a new type
- 34:08of interferometer which is an
- 34:10interferometer in frequency or if you
- 34:13want to see it as in time. So instead of
- 34:16having to making it very big to have
- 34:18sensitivity, I need the states to live
- 34:20long.
- 34:21And this is like now at the heart of a
- 34:24application to minimi- miniaturize um
- 34:28gravimeters and and detectors for
- 34:31um
- 34:32anything that's is of gravitational
- 34:34origin.
- 34:35>> How much progress has been made in in
- 34:39using them to try and answer this this
- 34:41key issue of how you make these two
- 34:42theories
- 34:44>> So many of the ingredients are out
- 34:46there. So in order to use a
- 34:49Bose-Einstein condensate to test some of
- 34:51the things I proposed like high
- 34:54frequency gravitational waves or
- 34:55searches for modifications of gravity,
- 34:58we actually done a lot of work. I have a
- 35:00patent also on how to use it to measure
- 35:03the local gravitational field and its
- 35:04gradient. It's been like 10 years of
- 35:06many different applications. But the
- 35:08ingredients that all of these
- 35:10applications need is a very big BEC. So
- 35:13how big? I don't know. Like things like
- 35:1510 to the 8, 10 to the 9
- 35:18rubidium atoms in
- 35:21in the condensate.
- 35:22>> So it's like a practical challenge of
- 35:23how you build a big enough Bose-Einstein
- 35:25condensate to really start to notice the
- 35:29effects of
- 35:29>> To see the effects, to get the the
- 35:31sensitivities that we predict, you need
- 35:33a lot of atoms.
- 35:34But
- 35:36people have already done for example in
- 35:38hydrogen, they reached 10 to the 10.
- 35:41Or in sodium, 10 to the 8. The thing is
- 35:44that making very big BECs didn't really
- 35:47have an application
- 35:49when people were using Bose-Einstein
- 35:52condensates to the detect, let's say,
- 35:54gravitational, well, more like atom
- 35:57interferometry where the atoms are
- 35:59falling
- 36:00to
- 36:02to detect the local gravitational field.
- 36:05The experiments that people were
- 36:06proposing didn't require many atoms. So
- 36:10people could do them, but there was no
- 36:12interest in them. But, you know, that's
- 36:15why I'm saying the ingredients were
- 36:16there.
- 36:16>> you you sort of saw the potential.
- 36:18>> Yes, and because there were like one
- 36:20paper or a few papers on very big BECs,
- 36:23then you also needed another type of
- 36:26characteristics that other experiments
- 36:28had. So, all the ingredients were there,
- 36:31but no no experiment that put everything
- 36:33together.
- 36:34>> Mhm.
- 36:35>> So, the potential was there, but still
- 36:36very challenging.
- 36:37>> But then how do you
- 36:39are you proposing to use Bose-Einstein
- 36:41condensates to
- 36:44test the idea of Yeah, that you know,
- 36:47gravity that mass is what causes the
- 36:50>> Yes. So, let let me let me go to that
- 36:52because there's been many experiments
- 36:54for many years now trying to test that
- 36:57gravity collapses the wave function. And
- 37:00they use many different systems. For
- 37:02example, nanobeats, diamonds, membranes.
- 37:06Actually, one of the experiments is in
- 37:08this very building. My colleague Henry
- 37:11Goldrich has an experiment with a
- 37:13nanobeat. So, these are silicia like
- 37:16little silicia marbles, let's say, and
- 37:18they try to put them in a quantum
- 37:19superposition. The record is by Markus
- 37:22Arndt who he's using molecules. And he
- 37:26very recently has an amazing paper where
- 37:28he reports being able to put a molecule
- 37:31that has around maybe
- 37:3310,000 atoms or 7,000 atoms or long
- 37:36around that in a in a in a
- 37:38superposition.
- 37:39>> But is that still not big enough to
- 37:41create the effect that you're proposing?
- 37:43>> Rogers' formula predicts that you would
- 37:47see the collapse of the wave function
- 37:48due to gravity when you have around 10
- 37:50to the nine atoms. So, look at how many
- 37:53orders of magnitude it's like a very
- 37:55very far away from
- 37:58>> Yeah, we're nowhere near that.
- 37:59>> from nowhere near Yeah. And Markus has
- 38:02Arndt from the University of Vienna has
- 38:04always had the record.
- 38:06>> Mhm.
- 38:06>> And I think he goes like one order of
- 38:08magnitude, you know, an increase on mass
- 38:12like every five years or the order of
- 38:14that. So, we're really really far away
- 38:16from it. And I wanted to think if we
- 38:19could find an alternative way to test
- 38:21it. So, all of these experiments so far
- 38:24use solids.
- 38:25>> Mhm.
- 38:26>> So, let's say the bead. So, you want to
- 38:27put the bead in the superposition. All
- 38:30the atoms are also in the molecule,
- 38:32they're bounded to each other. So, the
- 38:34only possible state that you have is
- 38:36like left plus right.
- 38:39>> Mhm.
- 38:39>> But, a Bose-Einstein
- 38:41condensate has some advantages and
- 38:43disadvantages. It's not a solid, it's
- 38:46more of a gas or a fluid. All the atoms
- 38:49are not bounded between them. So, you
- 38:52could create with electromagnetic fields
- 38:54what we call a double well potential.
- 38:56So, we talked before about having a
- 38:58potential like a little pot made of
- 39:01electromagnetic fields. Now, think about
- 39:03having like a double one. And you would
- 39:06want to prepare a state where all the
- 39:08atoms are on the left plus all the atoms
- 39:11on the right.
- 39:13And well, what are the advantages and
- 39:15disadvantages of doing it with a BC?
- 39:18First, the problem why people have not
- 39:20been able to reach those big masses is
- 39:24because solids are very difficult to
- 39:26cool down.
- 39:27>> Mhm.
- 39:27>> So, the big problem is temperature.
- 39:29Solids are always vibrating and they
- 39:32always have large temperatures and it's
- 39:34very very difficult to
- 39:36to cool them down. Where a Bose-Einstein
- 39:39condensate is the coldest thing we can
- 39:41produce in the lab. It reaches
- 39:43temperatures of half a nano Kelvin.
- 39:46>> And why is the cold temperature useful
- 39:48in this case?
- 39:49>> When it's very cold, you can ensure that
- 39:52gravity's producing the collapse. When
- 39:54it's very hot, it could be like
- 39:56>> some other yeah, effects.
- 39:58>> So, you want to have it very cold so you
- 39:59know it's gravity and not something
- 40:01else.
- 40:02So, well, so the Bose-Einstein
- 40:04condensates have that advantage that
- 40:06there's nothing in any experiment that
- 40:09we can cool down to those temperatures.
- 40:12But, now it has a problem because
- 40:13imagine that I can do the superposition.
- 40:16But, the moment that I lose one atom,
- 40:19it collapses because you lost one atom.
- 40:21So, they're incredibly fragile.
- 40:23>> So, you need to Yeah, you have to build
- 40:25this thing in a very controlled way and
- 40:28under vacuum.
- 40:28>> it is impossible to make a superposition
- 40:31in a Bose-Einstein Well, impossible for
- 40:33like time scales of my life.
- 40:35>> [laughter]
- 40:36>> To have a and I want to see, you know,
- 40:38the results of these experiments one
- 40:39day. So, of having like left plus right.
- 40:42But, the BEC has another very beautiful
- 40:45feature that also the Nobel Prize has to
- 40:48do something with the recent Nobel
- 40:49Prize. So, you have this double well,
- 40:52and you can have atoms here and there.
- 40:55But, the atoms can tunnel. So, that is
- 40:57something that we get in quantum
- 40:59mechanics as well that does not occur in
- 41:02classical physics that if you have a
- 41:04potential um and you throw a ball, let's
- 41:07say, classically it will always bounce
- 41:09back. But, if you have a quantum
- 41:11potential, there's a probability that
- 41:13the energy is enough to let the particle
- 41:17tunnel through the potential barrier.
- 41:20>> Penrose has also proposed that this uh
- 41:23the way in which gravity enters into
- 41:26quantum theory might have something to
- 41:28do with our conscious experience as
- 41:31well. And that seems to connect quite
- 41:33nicely to your original question that
- 41:35you asked. You know, I just wondered
- 41:37whether you could briefly explain that
- 41:39idea and and also what your kind of view
- 41:41on it is.
- 41:42>> Yes, I think that Roger's um idea about
- 41:47uh the connection between sort of mind
- 41:49and
- 41:50um matter is very important. When when
- 41:53he came up with this idea, I think uh
- 41:56people
- 41:57thought it was a taboo to talk about
- 41:59these things. So, Roger was breaking a
- 42:02taboo, and I really admire him for doing
- 42:04that. It must have been very, very
- 42:06difficult. However, now with artificial
- 42:09intelligence and with um computers um
- 42:13reaching these incredible intelligence,
- 42:16the question about
- 42:18can a computer become conscious, can it
- 42:21understand, can it be creative,
- 42:24became very very relevant.
- 42:26>> Mhm.
- 42:26>> But I think that Roger's ideas are very
- 42:29misunderstood.
- 42:31And I
- 42:33I can understand why because they're
- 42:35actually not so easy to understand. So
- 42:39what he does is that he
- 42:42uses the incompleteness theorem of
- 42:46Gödel. I pronounce it very badly.
- 42:49Um so I'm not going to go into the
- 42:51details of that cuz it's very intricate,
- 42:53but I think very roughly it would be
- 42:55that if you have some
- 42:58some that you want to compute a
- 43:00mathematical axioms, some rules, the
- 43:03theorem tells you that understanding the
- 43:06rules is not within the rules.
- 43:09So the rules are an algorithm. The rules
- 43:12are a computation.
- 43:14And they're all classical deterministic.
- 43:17But Roger shows that like understanding
- 43:21is not a deterministic thing.
- 43:23>> Okay. How does that explain this?
- 43:25>> So what's very interesting, and I think
- 43:27this is where people really don't
- 43:28understand what he says, is that he's
- 43:31then saying, "Okay, where in nature
- 43:33things are not deterministic?"
- 43:35>> Mhm. Okay.
- 43:36>> Okay. Everything in physics is
- 43:38deterministic. All of classical physics,
- 43:40uh
- 43:41Maxwell's equations, even the
- 43:43Schrödinger equation is deterministic.
- 43:45>> Apart from the measurement, okay. So he
- 43:48recognizes this as an aspect of uh you
- 43:51know, our experience perhaps, at least
- 43:54according to the way he's done the study
- 43:55it, that there's a kind of a logical
- 43:58reason why this gap within our kind of
- 44:01theories of of nature could be where how
- 44:04experience enters into the
- 44:06>> So so then Roger thinks, "Okay, when
- 44:09when you have the collapse of the wave
- 44:10function, you have this kind of element
- 44:13of understanding." And I I think that
- 44:17all of what he says, I think is um very
- 44:20relevant, and I agree with his like
- 44:23logic. But, I uh disagree a little bit
- 44:27towards the end
- 44:28because um I think I have been with time
- 44:32developing a different philosophical
- 44:34standing when it comes to mind and
- 44:37matter. Um right now we live in the
- 44:40materialistic paradigm, where we agree
- 44:43that everything is made out of atoms and
- 44:45fields. But, recently thinking about
- 44:48these things um
- 44:50uh
- 44:51more and and deeper, I think I'm slowly
- 44:54coming into maybe like a dual
- 44:56um point of view in which I think
- 44:59>> dualism, the mind and matter, there's a
- 45:01separation, perhaps.
- 45:02>> Well, not not separated, but that that
- 45:04they're it's like they're both
- 45:06fundamental. So, I
- 45:08Look, I I change, so uh because I'm
- 45:11starting to think about these things.
- 45:12So, this is where I'm standing right
- 45:14now.
- 45:15Uh but, that might change later. But, I
- 45:18think that matter
- 45:19uh is fundamental, but that also um
- 45:23consciousness
- 45:25uh and thoughts are fundamental, and
- 45:27they interact. I mean, clearly they
- 45:29interact because our thoughts can
- 45:30produce a stomach ache.
- 45:33So, I uh but, we haven't found the way
- 45:35to make a model that lets you know what
- 45:37the interaction is. And maybe Roger's um
- 45:39ideas are a first step to making a mind
- 45:43mind-matter model in the future.
- 45:46But, in one way that I differ is that I
- 45:48somehow think that consciousness because
- 45:51consciousness is not a thought. Uh
- 45:54I mean, if you think, "Oh, I'm conscious
- 45:56like now." That's a thought, but 3
- 45:58minutes later we're still conscious,
- 46:00although we're having different
- 46:01thoughts. I think uh consciousness is
- 46:04a background very similar to space-time.
- 46:07So, you I think you also asked me about
- 46:09like what I I thought about time being
- 46:12fundamental or not. I think time is
- 46:14fundamental and actually I think that
- 46:16space-time
- 46:17is the arena where atoms and fields
- 46:21interact.
- 46:22And then consciousness is the arena
- 46:25where sort of thoughts and perceptions
- 46:28and all of these things take place.
- 46:30And now, you know, the thing I don't
- 46:32even think we have a good understanding
- 46:35of is how would these interact. Although
- 46:38lately there's been become a popular uh
- 46:41question and more and more people start
- 46:44working on trying to make uh
- 46:47sense of of of both. Something is
- 46:49happening in our brains, right? Because
- 46:51well, our brains are made of matter,
- 46:53they're made of atoms and fields and we
- 46:56know that. But we also know that we're
- 46:59aware and that we have experience. We're
- 47:01actually interesting because in order to
- 47:03measure an atom,
- 47:05you need an apparatus and actually
- 47:07I've never measured an atom. I trust my
- 47:09colleagues who claim who measured atoms
- 47:12in the lab, right?
- 47:13>> But we've all had experiences.
- 47:16>> And we think other people do.
- 47:18>> And we think other people do, which I
- 47:19think it's a fair assumption to make.
- 47:22So,
- 47:23somehow in our brains, I think there's a
- 47:26interface between
- 47:29um matter and whatever we call
- 47:31experience.
- 47:33But we might be very far away or I don't
- 47:35know, maybe not from understanding how
- 47:38that interaction takes place. But that's
- 47:40why I was telling you that I um slowly
- 47:43moving at the moment towards like a
- 47:45dualist um
- 47:47uh point of view.
- 47:48>> Yeah, that's a a really fascinating way
- 47:51to to think about how, you know, you're
- 47:53making sense of this question which has
- 47:55has driven you um yeah, since you were a
- 47:57teenager. So yeah, thank you so much for
- 48:00taking the the time to yeah to speak
- 48:02with me.
- 48:03>> No, thank you. On the contrary, I'm very
- 48:06grateful for
- 48:07coming here to Southampton to speak to
- 48:09me. Thanks a lot.
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