Full transcript
Intro
0:00I think this is too often in physics.
0:02People who think a certain area is very
0:05beautiful mathematics and therefore it's
0:07got to be true of the physical world.
0:09And there is a big branch and perhaps I
0:11shouldn't be rude enough to mention what
0:13this main branch is in that area, but
0:16there is string theory.
0:18>> [laughter]
0:19>> I do mean string theory.
0:21There is a lot of feeling that this must
0:23be the basis of physics because it's
0:25such beautiful mathematics.
0:27And I say that's not a good guide at
0:29all. Just because you think the
0:31mathematics is beautiful in certain
0:32respects, sure.
0:34But that's not a good guide in itself.
0:43>> [applause]
Brian Cox on how Roger Penrose inspired him
0:49>> Well, thank you very much and so it's
0:52it's a huge honor to be here talking to
0:54to Roger. I thought I'd begin by saying
0:57that when when I was an undergraduate,
0:59so I started doing physics at Manchester
1:01in 1992,
1:02I think it was.
1:04And one of the first books I read to
1:06prepare me for my undergraduate physics
1:09was The Emperor's New Mind. And I think
1:12we might talk about consciousness later
1:14on, but the two things that really stuck
1:16with me was that book gave me my
1:19picture, my default picture of quantum
1:21mechanics, which I've always carried
1:23with me.
1:24But also it for the first time
1:27I think made me think about mathematical
1:30beauty. And I remember so vividly
1:32reading about how you describe complex
1:34numbers and the fact that mathematics is
1:37beautiful. So, could you talk a bit
Beauty in mathematics
1:40about that idea that mathematics is a
1:43beautiful thing and also mathematicians
1:44have a have an aesthetic sense?
1:47Well, I think that
1:49what drives people to do mathematics is
1:51certainly
1:53I mean, beauty. But it's a particular
1:56kind of beauty which I suppose which has
1:58a purity
2:00which you don't find
2:01in other areas. I mean, lots of things
2:04are beautiful, but they're sort of
2:05complicated and arbitrary in a way. But,
2:08what's so special about mathematics is
2:10it has this
2:11a very
2:13I don't know quite the right word to
2:14describe it, but it's pristine, I
2:16suppose word that one might use.
2:18It's uh it's a very kind of pure kind of
2:21beauty.
2:23And some people just don't feel it. I
2:25think it's true. I don't think one
2:28should be rude about people who don't
2:29see the beauty in mathematics.
2:31I find that sometimes it's rather the
2:33opposite to find people who do see the
2:36beauty in mathematics, which maybe is a
2:38little strange in a way. So, I find
2:41myself to be a little strange in that
2:42way, too. So, I'm not sure I can answer
2:45your question.
2:46I mean, there certainly is a beauty in
2:48the subject, and that is what drives
2:49mathematicians to do mathematics.
2:52Or it drives physicists often to do
2:55mathematics.
2:56And then it's certainly a subject which
2:59You see, when I was at school,
How Roger struggled with maths at school
3:02well, I should say this was when I was
3:04in Canada because during the war years,
3:07we we the family went and lived in
3:09Canada, sort of getting out of the way
3:11of
3:14the war, which
3:15good in other ways. But, anyway, no, it
3:17was a lovely time in Canada, and I
3:19remember I didn't do very well in my
3:22mathematics tests.
3:24And I just No, I didn't get very high
3:26marks at all. I got low marks. But, one
3:28of the teachers was very insightful, and
3:31he realized, looking at my papers, that
3:33it was not that I was very stupid, but
3:36that I was very slow.
3:38And I it took me a long time. I think I
3:41just didn't know my tables very well. I
3:43had to work them out each time, you see.
3:45But, I knew how to work them out, so I
3:47thought it was good enough. And so, I
3:49didn't know instantly how to do it.
3:51And I think he was a very good teacher
3:53and he realized that if I was allowed to
3:56take as long as I like and I remember
3:58sitting in the class and then there was
4:00a play period afterwards and I looked
4:02out of the window and I could see all
4:03these people having fun out of the
4:04window and here I was slugging away
4:08still working at this test. And maybe
4:11even the tip of the
4:12they
4:13the
4:14whatever came after the play period
4:16occasionally I leaked into that one. But
4:19then I would do very well. I get into
4:21the high 90s, you see. Whereas before it
4:23was I would, you know,
4:2430% or something. Fail. So he realized I
4:27was just slow.
4:29But I think it was slow in a curious way
4:31because I
4:33I knew the ideas
4:35but I couldn't sort of even even then
4:38maybe not what 7 * 7 was or
4:40probably that one was fairly easy
4:42because it's
4:44a bit more distinctive than some of the
4:45others. But um no, I was not very good
4:48at even doing the arithmetic. And we
4:51were talking just before we came on
4:53about Dirac. So you you knew Dirac very
4:56well and um I remember Dirac saying that
5:00um the beautiful mathematics is often
5:04used by nature. But I I
5:07remember reading The Road to Reality you
5:09disagree with that to some extent that
5:11nature doesn't necessarily select the
5:12most beautiful mathematics.
5:14>> I think it's hard to know, you see.
5:16I mean you find it's beautiful when it
5:17works afterwards but you may not see why
5:20because sometimes the beauty doesn't
5:22come in till much later.
5:24And you actually see how these things
5:26fit together in a way that you've never
5:27seen before. So you can't sort of judge
5:29it early on to see whether that I don't
5:32what mathematics applies to physics.
5:35We don't know yet. I mean we know some
5:37of the things that I
5:39certainly what attracts me in how
5:41mathematics applies to physics
5:43is in something which is a very
5:45beautiful area of mathematics and I
5:47think that's true.
5:48But then other people work on things
5:50which you don't look particularly
5:51beautiful to me at all. Maybe this is
5:53important in other ways.
5:55It can be just complicated.
5:57I don't know. There's no straight answer
5:59to your question, I think. So, you don't
6:00think that beauty is necessarily a guide
6:03to
6:04the laws of nature don't have to be
6:06beautiful mathematics? I think it's a
6:07misleading guide, you see. You're
6:09attracted and think I think this is too
6:11often in physics. People who think a
6:14certain area is very beautiful
6:16mathematics and therefore it's got to be
6:18true of the physical world. And there is
6:20a big branch Perhaps I shouldn't be rude
6:22enough to mention what this main branch
6:25is in that area. But there is String
6:27theory.
6:29>> [laughter]
6:30>> I do mean string
6:32There is a lot of feeling that this must
6:34be the basis of physics because it's
6:36such beautiful mathematics.
6:38And I say that's not a good guide at
6:39all. Just because you think the
6:41mathematics it is beautiful in certain
6:43respects, sure.
6:45But that's not a good guide in itself.
6:48How
6:48>> So, I think that's the trouble there.
6:50How did you get interested in physics?
How Roger got interested in physics
6:54Well, I got interested in physics in a
6:55rather strange kind of way, I think.
6:58You see, I was doing mathematics
7:00at university in London, at University
7:03College in London.
7:04And
7:06I remember going up to visit my brother
7:09who was doing physics research at that
7:12time in Cambridge.
7:15And I went up to visit him for some
7:16reason. I've forgotten exactly why. And
7:19I had been hearing these talks on the
7:21radio by given by Fred Hoyle. Where he
7:23was talking The first thing was about
7:25the solar system or something. Got
7:27broader and broader. And then he talked
7:29about cosmology in the last one. And he
7:31said something which I didn't quite
7:32believe, you see. And I said to my
7:35brother, I said, "Look, I didn't quite
7:36believe what Fred was saying here."
7:38And he said, "Well, I don't know either.
7:39I'm going Sitting at the table over
7:41there is the person who will give you
7:43the answer.
7:44And this was Dennis Sciama. He was
7:47sitting by himself, un unusually, by
7:49himself at this table. And I sat down
7:52and explained my little problem to me to
7:54him. And he said, "Well, I'm not sure
7:55about that. I'll go and ask Fred."
7:57Fred Hoyle, that was.
7:59And [snorts] so
8:00Um but the thing was, apparently, I made
8:02an impression on on Dennis.
8:05And he thought this was a really quite
8:06an interesting question that I'd raised.
8:09Why did the galaxies disappear one by
8:11one when they went faster than light?
8:13So, I thought, "No, they didn't
8:14disappear. You will always see them, but
8:15they would fade gradually, you see."
8:17And it was quite a simple argument to
8:19see why they did that. But apparently,
8:21Fred had got that little bit wrong. And
8:23he said, "No, that's wrong." Because he
8:24was He was a steady state theory at the
8:27time that Fred was talking.
8:28>> Well, you see, Dennis was a great steady
8:29state
8:30No. You see, I had one of my great
8:33admirations of Dennis
8:36was when the microwave background was
8:39discovered. This is the radiation which
8:40is permeating
8:42the whole of the universe at a certain
8:44stage. And this microwave background was
8:46discovered. And this showed, really,
8:48that the steady state model must be
8:50wrong.
8:52And Dennis, when he You see, he used to
8:54give lectures about steady state model.
8:55He had big screens and saying how
8:57wonderful it was.
8:59And when it was turned out to be wrong,
9:00he gave these lectures. And in first
9:02slide would say, "I was wrong."
9:06I was very proud of Dennis. Since
9:09I mean, I was I followed him very much
9:11in the steady state. I was a follower of
9:12that. And then when he changed his mind,
9:15I thought that was showing a real
9:18the right attitude to science.
9:21When you see you're wrong, you admit
9:22you're wrong. Absolutely. And I thought
9:24that was really impressive. So, we You
What theory is best for explaining the beginning of the universe?
9:27mentioned We mentioned string theory
9:28before. And everybody laughed at that.
9:31But in in terms of trying to look for a
9:35deeper theory, so let's say quantum
9:37gravity. Then of
9:40what do you think of that
9:42attempt? Well, you trying to lose to
9:43think that. I thought well, it might
9:45it's got to be quantum gravity.
9:48But since you got to have something
9:50extremely asymmetrical in time.
9:53So, maybe quantum gravity is a very
9:55peculiar theory which is asymmetrical in
9:58time. And I went through several years
9:59of my life thinking that.
10:01And then I changed my mind. That's not
10:03the answer.
10:04>> [laughter]
10:05>> But I did that was my sort of solution.
10:08The quantum gravity had to be very
10:09peculiar time asymmetrical theory.
10:13And Big Bang was a quantum gravity which
10:15had this funny
10:17I says had to be time asymmetrical
10:19because the Big Bang was so very
10:21special. And all the singularities in
10:24black holes and all that are very very
10:26general.
10:27They're completely different. The ones
10:29in black holes are very very complicated
10:31with this conformal curvature going to
10:33infinity.
10:35Get going completely wild and
10:38these Russians have worked out what they
10:40might be looked looked at applying and
10:42so on.
10:43No, I I accepted all that.
10:46Nothing like what the Big Bang was like.
10:48So, there's something very peculiar
10:50about the Big Bang. It's not like any
10:51other singularity.
10:53Oh, that's right. Because because
10:55probably the most fashionable approaches
10:57at the moment are to
10:59So, approaches like so-called emergent
11:02space-time where you essentially picture
11:04quantum mechanics as the base framework
11:06and you attempt to
11:08see how space-time would emerge from
11:11some underlying theory. It could be a
11:13network of qubits or whatever it is.
11:15>> Eventually, I lived out of that phase.
11:17Did you? Because because that's
11:19what most not not most maybe but many
11:22physicists would would say today.
11:24Certainly with work on black holes and
11:26the black hole information paradox and
11:28so on. So, why did you why did you
11:31what do you say? Grow out of it?
11:35I think the thing was to realize it was
11:36not a quantum gravity problem.
11:39That's the thing, you see.
11:41Because it doesn't I mean it If it were,
11:43you wouldn't get this huge asymmetry.
11:45And it's in your right in your face.
11:47It's not a subtlety.
11:49It couldn't be there in your face.
11:52But my sort of solution is to think that
11:54quantum gravity is a very strange
11:56theory, which is time asymmetrical.
11:58Well, I eventually lived out of that
12:00phase, my God,
12:02and thinking, "No, no,
12:04that's not the answer."
12:06So, my my answer is something which
12:08people still have trouble believing in,
12:10I have to say.
12:11Even though
A key new discovery in cosmology
12:13there is some remarkable new evidence.
12:16You know about this.
12:18This is the
12:21The the new evidence is this young lady
12:25who
12:27in uh University of Yorkshire or
12:29something There was she.
12:31And she made a remarkable discovery.
12:34Very recently, the last couple of years
12:36ago.
12:37Of this huge ring in the sky. A very,
12:41very distant galaxies, which form this
12:44beautiful circular ring.
12:46And another one, which is a big arc, and
12:49that she showed me is probably really a
12:51circle, too. Not quite the same center.
12:54This ring and this arc And now she's
12:56found a third one.
12:58So, what are these huge rings doing?
13:01Where do they come from? They're so big
13:05that there's no time for anything within
13:07the standard model of cosmology.
13:10They'd have to be right in
13:12well, before the Big Bang.
13:15And that is not what people think. There
13:17shouldn't be a before the Big Bang.
13:19But then I said, "Haha, that's nice,
13:22because my theory says there was a big
13:23before the Big Bang."
13:25>> [laughter]
13:27>> So, I'm very keen on her ideas.
13:30>> [laughter]
13:33>> We've had good chats after that. No.
13:35No. So, essentially is there a way of
13:38explaining in a a couple of minutes so
13:41the idea how does So, our universe is
13:44expanding, dark energy is
13:47is driving that expansion and dominating
13:50it. So, the standard cosmological model
13:51is that goes on forever and you have a
13:53heat death at some point. So, how does
13:56that map on to
13:58a new
14:00uh eon, let's say? Absolutely amazing
14:02galaxies. The key point
14:05has to do with mass.
14:09How do I put this now?
14:11>> [snorts]
14:12>> You see, the space-time metric
14:15is a thing which has 10 components. At
14:17any point
14:19there is 10 numbers which define what
14:22the metric is like. Space
14:24the curved space geometry of Einstein
14:26needs this thing which is called the
14:27metric.
14:28And the metric has 10 components.
14:31Now, nine of these 10 components
14:35I should really say that the nine
14:37independent ratios of the 10 components
14:40are describing
14:42what the light cone is doing. The light
14:44cone tells you what light does.
14:47So, you see you follow a point flash of
14:49light here, as time evolves, it becomes
14:52a sphere which goes out and that's the
14:54light cone.
14:55Now, that is 9/10 9/10 of the geometry
14:58of space-time.
15:00What is the remaining 10th?
15:02The remaining 10th
15:04is one number. That number
15:07is thing that you get by combining the
15:09two most famous formulae of 20th century
15:12physics.
15:13One of them, of course, Einstein's E =
15:15mc squared, energy and mass are
15:18equivalent.
15:20The other one is Max Planck's E equals H
15:23new or HF. Energy is frequency. So, that
15:27tells you that mass and frequency are
15:29equivalent.
15:30So, that if you want a clock, that's a
15:33frequency. In other words, to have a
15:34scale of time or a scale of space, which
15:36is the same thing basically,
15:38you have to have a mass.
15:41If you don't have mass, you don't have
15:43scale.
15:44So, that's the key point. Where don't
15:47you have mass?
15:49Well, one place you probably don't have
15:51mass is in the remote future.
15:53Pretty well photons.
15:55It's more complicated than that, but
15:57that's the main story. What is there?
15:59Well, there are gravitational waves,
16:00too. They don't have mass, either.
16:03Photons. They just go out. They don't
16:05have any mass.
16:07So, in the remote future, there is no
16:09mass.
16:11So, it forgets how big it is
16:13in a certain sense.
16:15How about the Big Bang? That's the other
16:17place where you forget mass, because the
16:20energy is so
16:21enormous. The closer and you go back
16:25into the Big Bang, the
16:27less important the mass of particles
16:29become. They're effectively massless for
16:32a completely different reason.
16:34And so, they're massless at the Big
16:35Bang, they're massless in the remote
16:38future.
16:39So, the key idea is that those both ends
16:42you don't have any mass. And so,
16:44therefore, the geometry is the geometry
16:47of conformal
16:49physic conformal geometry, which is a
16:50very beautiful geometry. I used to play
16:52with it when I was before I went to
16:54university. Geometry of circles and
16:56things like this. Now, it's a really
16:58lovely kind of geometry. You don't have
16:59scale, but big and small
17:02are equivalent. Uh but angles are
17:04important and those sorts of things. So,
17:06velocities are important, I suppose, but
17:08you don't actually have the scale.
17:10And then, if you don't have a scale,
17:12where don't you have a scale? At the Big
17:14Bang, in the remote future.
17:16So, what I'm saying is the Big Bang is
17:18really somebody else's remote future.
17:21It's an eon, I call it an eon, a cosmic
17:24eon. Our cosmic eon started with the Big
17:27Bang.
17:28It ends, in a certain sense, with the
17:30remote future. And then you draw a
17:32picture which stretches out the Big
17:34Bang, squashes down the remote future,
17:36and you have a nice picture of the
17:38entire history of the universe.
17:40And then you can stick that on to
17:42another picture.
17:43It's generally the same as the previous
17:46eon. And in the previous eon, there were
17:48galaxies, galactic clusters, and all
17:50this stuff.
17:51And every now and again, in the remote
17:53future of the previous eon, there will
17:55be the galactic clusters whopping into
17:58the black There are these enormous black
18:00holes. These enormous black holes will
18:02whoop into each other. Huge burst of
18:05gravitational energy comes through.
18:08That's one of the things which get
18:09through, gravitational waves. They come
18:11through
18:12and maybe produce these wonderful rings
18:14that
18:15Alexia Lopez, that's the name of this
18:18young lady who's made this wonderful
18:19discovery, produced the rings. I never
18:22thought of it before, but when I heard
18:23about her rings, I went, "My god, that's
18:25I should have thought of that. This is
18:27something a nice effect that this theory
18:31should I should have thought that's a
18:32nice prediction." I never made the
18:34prediction, but that's sort of
18:36retrodiction, you see,
18:39coming from her, her discovery of these
18:41wonderful rings.
18:43And so, you you don't In that picture,
The big bang is not quantum mechanical
18:46you don't require some kind of
18:48unification between quantum mechanics
18:50and and gravity. So, do do you picture
18:52space-time as fundamental?
18:56>> It's not You see, it's not really
18:57quantum at all. It's a very different
18:59perspective. I'm not saying
19:02In fact, quantum mechanics is is a
19:05perturbation in this picture. It's a
19:07very classical. And I think people don't
19:09like that. They think, "Oh, it's got to
19:10be quantum mechanical." I thought that,
19:11too.
19:12But, this is a
19:13divergence from that view. It's saying
19:16the Big Bang is not quantum mechanical.
19:19It's It comes from the fact that it's
19:21conformal.
19:23Because the mass has got lost.
19:26Once you've lost the mass, you have a
19:28conformal picture. And then the Big Bang
19:30is very like the remote future.
19:33That's In fact, it's so much like it
19:35that our Big Bang is the continuation of
19:38the remote future of this previous eon.
19:41So, there there is no theory in that
19:44picture from
19:45which underlies general relativity,
19:47let's say this. General relativity is a
19:50is a
19:51a base theory, let's call it.
19:53>> you would say it is a result of a result
19:54of a generalization of it. But, it's not
19:57saying it's quantized. No.
19:59So, it's not quantum general relativity.
20:02See, that's the difference. I think
20:03people were saying, "Oh, well, you've
20:04got to quantize GR before you can
20:07explain the Big Bang." This a very
20:09different picture. It is a
20:10generalization in the sense you're
20:13looking at space-time within the broader
20:15spectrum of conformal space-time.
20:18And you say, "Well, conformal geometry
20:20is a bit of a deeper picture." And that
20:23the mass gives you a scale, but the mass
20:25is only important later on or earlier
20:28on.
20:29Before the Big Bang when you're going
20:31back to the remote future of the
20:32previous eon or after the Big Bang like
20:35us now.
20:36But, there was this stage a crossover
20:38from one to the other where the mass was
20:40not important. It more or less
20:43disappeared.
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