Full transcript
Roger Penrose vs Brian Greene
0:00String theory is the most potent and
0:02powerful approach that we have
0:04discovered as a species for blending
0:07general relativity and quantum
0:08mechanics. The theory to me is is just
0:12in the wrong direction and it's wasting
0:13a lot of time. I, like many string
0:16theorists, think that we live once. I'm
0:18not interested in spending my time on a
0:20theory that's wrong.
0:22>> The trouble is that they claim it's such
0:24a beautiful theory. As far as I can see,
0:26it's a great mess. But for two theories
0:29that were at loggerheads to naturally
0:32come together where one induces the
0:34other to emerge from the formulation,
0:38that's beautiful.
0:39[Music]
Roger Penrose on the problem with extra dimensions
0:45We're first going to start off with
0:47Roger,
0:48who's going to tell us about his kind of
0:50three-minute pitch on whether it's time
0:53to move on from the dominance of string
0:55theory in our accounts of the universe.
0:57Well, I wasn't sure it was still
0:58dominant.
1:00But still, you know, when I first heard
1:02about it, in I guess the early 1980s,
1:05I found it a very exciting idea. It
1:07looks as though you could use these sort
1:09of well, these surfaces, Riemann
1:11surfaces,
1:12as a replacement for things like Feynman
1:15diagrams in talking about quantum field
1:17theory. And it looked very like an
1:19exciting idea to me. But then it rapidly
1:22became well, at least the story was, and
1:25I didn't understand it well enough to
1:27see why it had to be like this.
1:29This only works originally in 26
1:31dimensions. So, it meant that space had
1:3325 dimensions and time had one
1:35dimension. My reaction was, okay, well,
1:38that's the end of the end of it as far
1:39as I'm concerned, because space doesn't
1:42have that many dimensions. Of course, I
1:44understood that the idea is somehow that
1:46several of these dimensions are tied up
1:47into little knots and things like this.
1:50But it just never struck me that this
1:52worked, because
1:54well, the argument was somehow you could
1:56never excite the degrees of freedom
1:58which are involved in these tiny little
2:00extra dimensions. I just didn't seem to
2:03me that was correct, because even though
2:05it would take a lot of energy to excite
2:07these degrees of freedom, that amount of
2:09energy was, as far as the whole universe
2:11was concerned, I mean, it the
2:14you don't just do it locally. It would
2:16be affect the whole universe. And the
2:18amount of energy
2:20that here, over the whole universe,
2:21which amounts to, say,
2:24a Planck scale energy, which is the sort
2:26of thing they were talking about, is
2:27ridiculously small. So, I didn't see why
2:31this would
2:32why you wouldn't
2:34be
2:36notice that the number of space
2:38dimensions was wrong.
2:40I just never took it seriously for that
2:42reason. But then it became very much a
2:44an in thing.
2:46And so, I had to pay some attention to
2:48it and make critical remarks, which are
2:51probably too naive, I expect, in my
2:53various books. But I've never been a fan
2:56of the idea. As I said, initially, I
2:57thought it was a very beautiful idea.
2:59But since
3:00since it seemed to require all these
3:02unreasonable extra degrees of freedom,
3:05it's not just
3:06extra dimensions. There is There's all
3:08this stuff that you can't get hold of
3:10and doesn't affect the physics.
3:13So, it didn't make too much sense to me,
3:14I'm afraid. Okay, thank you. Um next, uh
Brian Greene: "String theory is the most powerful approach for unifying general relativity and quantum mechanics"
3:18Brian Greene, uh is it time to move on
3:21from the dominance of string theory in
3:22our accounts of the universe?
3:25Uh happy to say a few words on it.
3:27Again, apologies that I couldn't join
3:29you in person. It looks like a a
3:31wonderful gathering.
3:32I would suggest at the outset that the
3:34framing of the question suggests a
3:38radically
3:40incomplete understanding of how science
3:43actually works. I mean, I'm happy to
3:46engage in these kinds of discussions. I
3:48think they can be illuminating for the
3:50general public and they're enjoyable to
3:53have. So, I've nothing against them.
3:56But the idea that we would sit here and
3:58pronounce how science should or should
4:01not move on from this or that idea
4:04misses the point of how science actually
4:07works.
4:08Science is an endeavor carried out by
4:11scientists who generally have an
4:14enormous amount of training, an enormous
4:17amount of experience, like Roger and and
4:21others in the discussion here.
4:23And the choice of what to work on by
4:27design is left to the individual. What
4:30they find interesting, what they find
4:32exciting. So, people will continue to
4:34work on any given subject so long as it
4:37continues to bear fruit and give
4:39interesting results that inspire yet
4:43other avenues of research. And that's
4:46what's happened in string theory and
4:47that's why people have continued to work
4:50on it. And when the theory and the ideas
4:53begin to dry up and they're no longer
4:56bearing fruit, then individuals will
4:59move on. And certainly, some string
5:02theorists of the past have moved on to
5:04other ideas because they lost interest
5:07in this or that avenue of research. And
5:10they do other things. And that I
5:12applaud. That's a wonderful way in which
5:14science can be rich and and
5:17self-propelling
5:19in order that the endeavor of trying to
5:21understand the universe will continue.
5:24When it comes to string theory itself,
5:28where have we gotten? I think that's a
5:30conversation that we will continue to
5:32pursue in our discussion here. But
5:34briefly put, in 30 seconds,
5:37string theory is the most potent and
5:39powerful approach that we have
5:41discovered as a species for blending
5:44general relativity and quantum
5:45mechanics. And putting these two pillars
5:48of scientific understanding together is
5:51vital to understand things like black
5:53holes and the Big Bang. And indeed,
5:55string theory has made its greatest mark
5:57in understanding black holes. So, is it
6:01something that is worthy of pursuit? I
6:04think the answer is yes. Obviously,
6:06thousands of others around the world
6:08think the answer is yes. But it's not
6:10for us to pronounce. It's for the
6:13marketplace of ideas to decide. And
6:16scientists will vote with the most
6:19precious resource they have, which is
6:21their time. And so, as long as
6:23scientists think that it's worthwhile to
6:25work on string theory, they will. And
6:27when they don't think it's worthwhile,
6:29they won't. That's about it.
Eric Weinstein on the political economy of science
6:32Thank you very much.
6:33Eric. So, rather depressingly, I very
6:36much agree with uh Brian, because it is
6:40a marketplace of ideas, at least in
6:41theory. And as long as there are
6:43equations and ideas and people who wish
6:45to explore them, the ideal of the
6:47scientific community is that we should
6:49do exactly that. And the problem is is
6:51that that is not exactly how science
6:53works. And in particular,
6:55uh this ignores the entire political
6:57economy of science, which has to do with
6:59jobs, claims, public relations, and
7:03effectively diverting the resources of
7:05the community, which are never uh
7:07particularly generous after the Cold War
7:10era, um towards string theory. And it's
7:13not just a question of, let's say,
7:14delivering better pizzas, but also
7:15slashing the tires of the opposing pizza
7:19parlor. And so, the real problem is is
7:21that we keep talking about what we're
7:22comfortable with, which is uh the nature
7:26of the ideas. Um what I'd like to do is
7:28I'd like to lead use the most of the
7:30three minutes for debate. So, I'm just
7:33going to say uh one thing about this.
7:35String theorists often say that's not
7:37how science works. And I'm The concern
7:39about string theory is that string
7:40theory works like no other science. And
7:43so, the biggest complaint that many of
7:46us have is is that string theory uh sets
7:49itself up as the judges and referees
7:51who's winning, who's losing, what's the
7:53best leading theory, and finding
7:55themselves virtuous in almost all uh
7:57contests. So, it's like playing a team
8:00versus of of referees uh who may not
8:02necessarily be better footballers, but
8:04tend to find that they always win the
8:05game. So, let's save the time for debate
8:08and uh let's get into it.
String theory belongs to the realm of mathematics
8:10Thank you very much. So,
8:12we've
8:14It's often said that uh mathematics is
8:16the language of physics. Um but physics
8:18also answers to uh experiment. How do we
8:21balance these two different factors? Is
8:24it kind of the the way the mathematics
8:25leads us um and the way that we uh find
8:28these out through experiment? Roger.
8:31Well, I think the trouble with string
8:32theory is that there isn't any
8:34connection with observation as far as
8:36I'm probably
8:38taking too strong a view here. But um
8:40the mathematics I mean, it's it's
8:42largely driven by the mathematics as far
8:44as I know, which is in itself is not an
8:46objection as far as I'm concerned. A lot
8:48of what I do is driven by the
8:49mathematics. But the trouble with string
8:51theory is it's supposed to be a theory
8:53of the way the world operates. And if
8:55the number of dimensions of space is
8:57just wrong,
8:59I can't take it seriously. And I can I
9:02mean, there are arguments why all these
9:04extra dimensions are hidden, and I don't
9:05think those arguments are right, either.
9:07So, I'm just less in a position where I
9:11don't The problem is not so much, you
9:13know, how much mathematics or how much
9:14physics or what. We're not talking about
9:17things which can be experimentally
9:18tested, anyway, as far as I can see. If
9:21you could have a theory which had
9:23predictions and these predictions could
9:24be seen to be right or wrong, that's
9:27what I understand about physics. But
9:29string theory seems to me driven largely
9:31by certain ideas, which
9:34have importance in mathematics, but sort
9:35of irrelevant to the physics, really. As
9:37far as I know, there's places where
9:39string theory has had an impact on
9:42mathematics. Sure, it's has. But it's
9:45not physics, as far as I can see. So,
9:49I have The main trouble I have with with
9:51string theory is I don't think it's
9:52physics.
String theory gives us a quantum theory of gravity
9:53So, anybody wants to defend the idea
9:55that string theory is, in fact physics
9:57not mathematics. Okay. So, um I
10:00appreciate your remarks Roger.
10:02Obviously, I have a a different
10:04perspective on it. One, when it comes to
10:08the fact that various formulations of
10:10string theory do require extra
10:12dimensions, that's of course a
10:14long-standing program that existed long
10:17before string theory. The whole
10:18Kaluza-Klein program dating back to the
10:22early decades of the 20th century is one
10:24that considered the possibility that our
10:25universe might actually have extra
10:27dimensions. The issue of exciting modes
10:32in the extra dimensions is one that I
10:34think we understand reasonably well that
10:36the energy goes like one over the
10:38putative size of the extra dimension.
10:40So, if their size is sufficiently small,
10:43the energy that needs to be focused in a
10:44sufficiently small region to excite
10:46those modes is larger than any energy
10:49that we have access to. But, if we did
10:51have that energy, we would be able to
10:53excite those modes. I have a feeling
10:55that we're not going to be able to
10:56settle that in in this discussion here,
10:58but I'm not concerned. And in fact,
11:01moreover, I've spent decades thinking
11:03about those extra dimensions. So, I
11:05think it's actually very fruitful part
11:07of the theory as opposed to something
11:09that is a a detriment or something that
11:12is an embarrassment. It's a wonderful
11:14quality of the theory. In terms of
11:16whether string theory is physics, I
11:18would put forward two points. Number
11:20one,
11:21the whole reason why we are interested
11:23in string theory is that we believe the
11:26world is governed at least in certain
11:28energy scales by the general theory of
11:30relativity giving us our theory of
11:32gravity. We believe that on sufficiently
11:34small scales quantum mechanics shows its
11:38colors. And we believe there are realms
11:41in which general relativity and quantum
11:42mechanics need to play together.
11:45And without a theory of quantum gravity,
11:48physics is at a loss for how to proceed.
11:52And so, the value of string theory in
11:54physics is that it gives us a quantum
11:57theory of gravity. That's why we're
11:59interested in it and that's why it's
12:01part of physics. I agree fully that we
12:04don't understand the theory well enough
12:06yet to draw direct predictions for
12:09things that we can go out and measure.
12:11That's why it is a theory, very much a
12:14theory in progress. And how long will it
12:17take to extract those kinds of
12:20predictions?
12:21I don't know. I wish we had those
12:23predictions, too, because if we could
12:25verify them, great. If we could prove
12:27the theory wrong, fantastic, too. I,
12:30like many string theorists, think that
12:32we live once.
12:34I'm not interested in spending my time
12:35on a theory that's wrong. And so, being
12:38able to make that experimental judgment
12:41is is would be wonderful. We can't do it
12:45yet. I agree with that, but that's not
12:47some fundamental failing of the theory.
12:50It's a failing of us theorists to
12:52understand the theory well enough to
12:54make those predictions.
12:56Final point I will make is in terms of
12:57connection to physics. And there are
12:59others that I could bring up, but let me
13:00just focus on one.
13:02We've known, Roger, of course, since the
13:05work of you, work of Stephen Hawking,
13:07about, for instance, black hole entropy.
13:11And string theory is still the only
13:14framework within which we can calculate
13:17from first principles for a certain
13:19category of black holes and reproduce
13:22the beautiful formula that Stephen
13:25Hawking wrote down in terms of the area
13:27of event horizon divided by four. And
13:29so, there's a wonderful connection
13:32between a quality of the world that I
13:33think many of us agree is correct, that
13:35black holes have entropy governed by the
13:38area of the event horizon, and string
13:40theory's calculation
13:42from first principles for certain
13:44categories of black holes of that
13:46number. So, that, again, among many
13:49other things that we could discuss, are
13:51links to physics. So, I'm a little
13:53surprised that you would say there's no
13:56connection to physics, but perhaps I'll
13:59leave it there and happy to hear your
14:00response.
String theory is neither accurate nor beautiful
14:02So, Roger, um we've discussed how the
14:05evidence might be slightly different
14:07from string theory or not yet there in
14:09terms of observational evidence. Um what
14:12do you make of the appeal that people
14:13have to other types of evidence such as
14:15uh principles that guide us such as
14:17simplicity or naturalness or kind of
14:20mathematical beauty? Do you think these
14:22are things that can be used as evidence
14:24or they kind of supporting a fantasy? I
14:26think they can be used, but I don't see
14:28it in string theory.
14:30I mean, the trouble is that they claim
14:32it's such a beautiful theory. As far as
14:34I can see, it's a great mess. I mean,
14:35you've got the wrong number of space
14:36dimensions. You've got an argument to
14:38try and argue that you
14:41you don't get enough energy to excite
14:42the extra dimension. I I mean, I think
14:44that argument is wrong, actually,
14:45because
14:47the amount of energy is
14:49for the entire universe. It's not just
14:51your building accelerator to see get up
14:53to a certain energy if it's beyond the
14:55level of that accelerator. That's not
14:57the point. You've got that much energy
14:59and all over the universe there's things
15:01with great deal of energy and there's no
15:03reason why these shouldn't excite these
15:05extra dimensions. I think there's just a
15:07misconception in that.
15:09Um I don't want to go into it further,
15:10but I it's a bit technical, but I think
15:12it's a misconception.
15:14I also think
15:15that string theory is not all that
15:17beautiful. It's not beautiful
15:19even as mathematics, which is part of
15:21the argument.
15:22Uh you need all these extra dimensions
15:24which you don't see. Well,
15:27it it does nice things in mathematics. I
15:29I certainly I could go argue that there
15:32have been arguments
15:35which simplify certain mathematical
15:37expressions and
15:38calculate them further than have been
15:40done before using string theory
15:42arguments. That says nothing about
15:43physics. The theory to me is is just in
15:46the wrong direction and it's wasting a
15:48lot of time. And even the claim
15:51the claim that you get the Hawking
15:52temperature or the Hawking Hawking
15:53entropy out of this, we knew already
15:55what it was. Why does string theory if
15:57you can do it again using string theory,
15:59it doesn't impress me very much. If you
16:01got a different answer and somehow you
16:03could have observational evidence that
16:06that different answer was correct, that
16:08would impress me. But, there's nothing
16:10like that in in what's been done.
16:11There's a lot of hype in the subject, I
16:13think, which I I really
16:15don't go along with. And in a certain
16:18sense, there are too many theoretical
16:20physics communities which have
16:22wasted their time on this area rather
16:25than doing what I regard as more
16:26interesting topics. Even the question of
16:29quantum gravity, which has been brought
16:30up here,
16:32bringing quantum mechanics and
16:33gravitational theory together, sure,
16:34that's that's a very important thing to
16:36do. But, quantizing gravity, in my view,
16:39okay, it's an interesting exercise, but
16:42it's not the important thing in bringing
16:44them together. The important thing
16:46together in bringing them together, in
16:47my view, is to explain why quantum
16:50theory
16:51works. See, quantum theory works for
16:54tiny little things, if you like. But,
16:56when you do what's called making a
16:57measurement or you think talk about big
16:59things, it doesn't work. Because there's
17:01something missing, something
17:02fundamentally missing from quantum
17:04mechanics. And what's finally
17:06fundamentally missing, I believe, one
17:08can give strong argument, is that
17:11features of general relativity have to
17:12be brought in. And those features
17:15indicate the level at which the collapse
17:18of the wave function comes in. And that
17:20quantum mechanics needs help, I'm
17:22saying.
17:23And it needs help because we see things
17:25which, you know, if I take this glass
17:27and try to put it in superposition of
17:29here and there, you don't do it. It
17:30doesn't stay. I mean, it goes to one or
17:32the other. Um you quantum mechanics
17:34doesn't say that.
17:36Quantum mechanics
17:37is
17:38not just incomplete, as the
17:41some Einsteinian people would say, it's
17:44not really quite correct. It's not
17:46correct because uh for large objects or
17:49for large displacements of objects,
17:51you don't get the answer we see in the
17:53universe. Now, to get that answer, my
17:56current belief, uh for quite a long time
17:58I believe, that you have to bring
18:01principles from general relativity. So,
18:04that the combining of those two
18:05theories, the focusing on trying to
18:07quantize gravity, I think is
18:09is a mistake.
18:10Okay, we would be nice to see a theory
18:13of gravity which at the appropriate
18:15levels
18:17agrees with quantum mechanics. But,
18:19that's not where we need help in quantum
18:21mechanics. Where we need help is in the
18:23collapse of the wave function, which is
18:25a huge thing missing from the theory.
18:28And there are arguments which suggest
18:30very strongly that you need to bring
18:33gravity in. Right.
18:34>> And that feature is not anywhere to be
18:37seen, at least not by me,
18:39in what's been done in string theory.
18:41It's just going off, to me, in the wrong
18:43direction.
18:44And it's lots of people in physics
18:46departments, theoretical physics, um
18:49they're
18:50they're guiding this direction because
Brian Greene defends the beauty of string theory
18:52lots of other people work in it. So, the
18:54the problem though uh Roger mentioned in
18:56terms of the the uh water glass is also
18:59famously known in terms of Schrödinger's
19:00cat, whether it's dead or alive. This is
19:02the kind of issue at the heart of
19:04quantum mechanics. Um and so, I wonder
19:07if our other panelists have any thoughts
19:09of whether this issue in quantum
19:10mechanics, can string theory help us
19:12with this problem? Or is string theory
19:14silent on this or is kind of orthogonal,
19:17an extra issue, not something uh string
19:19theory has its own issues separate from
19:20this?
19:21So,
19:23string theory does not, at the moment,
19:26answer the question of the quantum
19:27measurement problem. And I agree with
19:29Roger that that's a a critical question
19:31that has faced quantum mechanics really
19:34since its inception. So, I agree that
19:37there are open questions that even
19:39string theory, as it's currently
19:41formulated, doesn't doesn't address. As
19:45Roger addressed it with his approach,
19:47that aspects of general relativity will
19:49be vital to the collapse of the wave
19:51function, It's a powerful and
19:52interesting idea. I've studied it. I'm
19:55not yet convinced of it, but it is among
19:58many ideas that people working in this
20:01arena have put forward. I'm glad that
20:02people are working on this key question
20:05of quantum mechanics. But in terms of
20:07the importance of quantizing gravity, I
20:09would take a somewhat different
20:11perspective than Roger's.
20:13Quantum mechanics is an established part
20:15of the way the world works. General
20:17relativity is an established part of the
20:19way the world works. If they can't play
20:22together, if when you combine them, you
20:24get nonsensical results, which was the
20:27state of play before string theory gave
20:29us a potential solution, then your
20:32physical description of the world is
20:33fundamentally inconsistent. And I don't
20:36think the universe is inconsistent, and
20:39therefore it is vital that we find a way
20:41to put the pillars of our previous
20:43understanding into harmony with one
20:46another. Eric mentioned perhaps there
20:48are other ways of doing it. Fantastic.
20:50I'm open to those ideas, but string
20:53theory at least is one approach that
20:55does that. And it's important, it's
20:57vital, and string theory not only
20:59achieves it, but to the question of
21:01beauty, let me just put forward the
21:03following. You do quantum mechanics of a
21:06string without any knowledge of general
21:09relativity, and just through the process
21:12of studying that quantum mechanical
21:14description of a string, general
21:16relativity emerges. It's forced upon
21:20you. It comes right out of the
21:22mathematics. If Einstein hadn't
21:24discovered general relativity, string
21:26theorists studying the quantum
21:28mechanical motion of string would have
21:29found general relativity within the
21:32formulation itself.
21:34That's beautiful. That's breathtaking.
21:37That is what pulled many of us into the
21:40field. And so, these issues, sure,
21:43beauty is somewhat in the eye of the
21:46beholder, but for two theories that were
21:49at loggerheads to naturally come
21:52together where one induces the other to
21:55emerge from the formulation, that's
21:58beautiful.
Eric Weinstein calls for blood
21:59This is not a fair way to go about
22:01things. We're now having the
22:02conversation about beauty and ugliness.
22:04A giraffe is beautiful, as is a
22:063-year-old child. And if I cut the head
22:08off a 3-year-old child and sew on the
22:10head of a giraffe, that is in some sense
22:12beautiful in two separate ways. If I
22:15take space-time and I put a Calabi-Yau
22:17threefold, a complex threefold at every
22:20point, that has the feeling of a baby
22:22with the head of a giraffe. There's a
22:24certain way in which it's beautiful,
22:25particularly at the level of the
22:27analytics. So, what I hear Roger talking
22:29about very often with twisters is a much
22:31more algebraic and geometric view. What
22:33I hear Brian talking about as beauty is
22:35the beauty of a renormalizable spin-two
22:37field that's massless,
22:39falling out of the quantization of a
22:40string. These are different worlds.
22:43They're sewn together in a very
22:44unconvincing and ugly way. Uh we I don't
22:47want to rob Brian of the claim that
22:48there's beauty, because there's tons of
22:50beauty in the theory. There's also tons
22:52of ugliness and artificiality in the
22:53theory, as there is in general
22:55relativity, where the equations and the
22:57Lagrangian are beautiful, but the energy
22:59constraints are ugly and have a
23:00different origin or meant to keep
23:01Einstein out of trouble. So, what we
23:03have is a situation in which I feel like
23:06the audience never actually hears a
23:08debate about the underlying nature, and
23:11we stay on the surface level, where
23:13we're talking about it's beautiful, it's
23:14ugly, it it post-dicts, it predicts
23:16this.
23:17The real nitty-gritty of this thing is
23:20is that Brian and Roger are both
23:22correct, and they're not coming to
23:25loggerheads in front of an audience for
23:27reasons that actually escape me.
23:30Would Would you like to come to
23:31loggerheads now, uh I didn't know we
23:33weren't. I thought we were in
23:34loggerheads.
23:36I mean
23:37I was trying to say that all these extra
23:39dimensions are wrong.
23:41And that's fundamental to the theory.
23:43Surely that's a loggerhead of a as a
23:45sort of one. Isn't that a loggerhead?
23:48It's a very polite loggerhead, maybe.
23:52No. I mean it's it's completely against
23:54the way the string theory has gone.
23:56I mean
23:58originally, when I heard the idea of
24:00string theory in the space-time had the
24:01right number of dimensions, three space
24:03and one time, I thought it was a really
24:05nice idea.
24:07And it seemed to indicate that things
24:09could be finite, which would otherwise
24:11give you divergences and so on.
24:14Brings in beautiful ideas of Riemann
24:15surfaces and mathematics, which I like.
24:18I liked the idea. I thought this is a
24:20great place to go.
24:22But then they decided, "Look, it doesn't
24:23work unless you have 26 dimensions."
24:26So, I said, "Okay, you can work on that.
24:29I'm working on real physics."
24:32I mean
24:33you the reason to that they present that
24:36these extra dimensions you have to to
24:37excite all these degrees of freedom. I
24:39think that argument is not correct.
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24:49thousands more. Thank you for being part
24:52of the conversation.