Podcast on Unification

I recently did another podcast with Curt Jaimungal, on the topic of unification, which is now available here. As part of this I prepared some slides, which are available here.

The main goal of the slides is to explain the failure of the general paradigm of unification that we have now lived with for 50 years, which involves adding a large number of extra degrees of freedom to the Standard Model. All examples of this paradigm fail due to two factors:

  • The lack of any experimental evidence for these new degrees of freedom.
  • Whatever you get from new symmetries carried by the extra degrees of freedom is lost by the fact that you have to introduce new ad hoc structure to explain why you don’t see them.

There’s also a bit about the new ideas I’ve been working on, but that’s a separate topic. Over the summer I’ve been making some progress on this, still in the middle of trying to understand exactly what is going on and write it up in a readable way. I’ll try and write one or more blog entries giving some more details of this in the near future.

Posted in Euclidean Twistor Unification | 21 Comments

The Terrifying Power of Mathematics

Ted Jacobson has put on the arXiv a transcription of a 1947 Feynman letter about his efforts to better understand the Dirac equation, in order to find a path integral formulation of it. The letter also contains some fascinating comments by Feynman about mathematics and its relation to “understanding”. In particular I like this one:

the terrifying power of math. to make us say things which we don’t understand but are true.

In some other places in the text he elaborates:

The power of mathematics is terrifying – and too many physicists finding they have the correct equations without understanding them have been so terrified they give up trying to understand them. I want to go back & try to understand them. What do I mean by understanding? Nothing deep or accurate — just to be able to see some of the qualitative consequences of the equations by some method other than solving them in detail.

The Dirac equation is something wondrous and mystifying. If one tries, like Feynman, to find a simple understanding of it in conventional geometric terms, one is doomed to failure. It is expressing something about not the conventional geometry of vectors, but the deeper and much more poorly understood geometry of spinors.

In terms of Feynman’s goal of finding a path integral formulation, the best answer to this problem I know of is the supersymmetric path integral. For one place to read about this, see David Tong’s notes, in particular section 3.3.1. In this paper, Atiyah gives a closely related interpretation of the Dirac operator in terms of an integral over the loop space of a manifold, using a formal argument in terms of differential forms on the loop space. I don’t think either of these though are what Feynman was looking for.

In any case, what one really cares about is not a single-particle theory, but the quantum field theory of fields satisfying the Dirac equation. Here there’s a standard apparatus of how to calculate given in every quantum field theory textbook. These standard calculations involving Dirac gamma-matrices fit well with Feynman’s “physicists finding they have the correct equations without understanding them have been so terrified they give up trying to understand them”.

Posted in Uncategorized | 7 Comments

The Elegant Universe: 25th Anniversary Edition

Brian Greene’s The Elegant Universe is being reissued today, in a 25th anniversary edition. It’s the same text as the original, with the addition of a 5 page preface and a 36 page epilogue.

The initial excitement among some theorists in late 1984 and 1985 that string theory would provide a successful unified theory had died down by the early 1990s, as it had become clear that this was not working out. This didn’t stop the theory from continuing to be sold to the public in hype-heavy books such as Michio Kaku’s 1995 Hyperspace. Interest in string theory among theorists was revived in the mid-nineties by the advent of branes/dualities/M-theory. The publication of the The Elegant Universe in 1999 brought to the public the same hyped story about unification, together with the news of the new “M-theory”. The book was wildly successful, selling something like 2 million copies worldwide. A 3-hour PBS special based on the book reached an even larger audience.

From the beginning in 1984 I was dubious about string theory unification, and by the late 1990s could not understand why this was dominating physics departments and popular science outlets, with no acknowledgement of the serious problems and failures of the theory. From talking privately to physicists, it became clear that the field of particle theory had for quite a while become disturbingly tribal. There was a string theory tribe, seeing itself as embattled and fighting less intelligent other tribes for scarce resources. Those within the tribe wouldn’t say anything publicly critical of the theory, since that would not only hurt their own interests, but possibly get them kicked out of the tribe. Those outside the tribe also were very leery of saying anything, partly because they felt they lacked the expertise to do so, partly because they feared retribution from powerful figures in the string theory tribe.

At some point I decided that someone should do something about this, and if no one else was going to say anything, maybe I needed to be the one to do so. My unusual position in a math department pretty well insulated me from the pressures that kept others quiet. I’ve told the story of the article I wrote starting at the end of 2000 here. It was put on the arXiv in early 2001 and ultimately published in American Scientist. Looking at it again after all these years, I think the argument made there stands up extremely well. While there was no direct reference to the Greene and Kaku books, there was:

String theorists often attempt to make an aesthetic argument, a claim that the theory is strikingly “elegant” or “beautiful”. Since there is no well-defined theory, it’s hard to know what to make of these claims, and one is reminded of another quote from Pauli. Annoyed by Heisenberg’s claims that modulo some details he had a wonderful unified theory (he didn’t), Pauli sent his friends a postcard containing a blank rectangle and the text “This is to show the world I can paint like Titian. Only technical details are missing.” Since no one knows what “M-theory” is, its beauty is that of Pauli’s painting. Even if a consistent M-theory can be found, it may very well be a theory of great complexity and ugliness.

The subject of string theory and the state of fundamental physics was complicated and interesting enough that I thought it deserved a book length treatment, which I started writing in 2002 (the story of that is here). The book I wrote was not a direct response to The Elegant Universe, but was an alternative take on the history and current state of the subject, trying to provide a different and more fact-based point of view.

During this time, Kaku came out with his own M-theory book, Parallel Worlds, published in 2004. Also in 2004, Greene published a follow-up to The Elegant Universe, entitled The Fabric of the Cosmos, which was the basis several years later of a four-hour Nova special.
Over the last twenty-years there’s been no let up, with Kaku’s latest The God Equation, yet another hype-filled rehash of the usual string theory material. Greene regularly uses his World Science Foundation to do more string theory promotion, most recently putting out “The State of String Theory”, where we learn the subject deserves an A+++.

In recent years I’ve often heard from string theorists who feel that their research is getting a bad name because of the nature of the Greene/Kaku material. They see this hype as something that happened long ago, back before they got into the subject, so ask why they should be held accountable for it. When asked why they won’t do anything about the ongoing hype problem, it becomes clear that string theory tribalism is still a potent force.

Turning to the new material in this new edition of the book, much of it is the usual over-the-top hype, although often in a rather defensive mode:

the past twenty-five years have been such an astonishingly productive period that exploring progress fully could easily fill an entire book on its own… The fact is, the past twenty-five years have been jam-packed with discoveries in which string theorists have scaled towering problems and dug deeply into long-standing mysteries… the decades of rich development in string theory carried out by some of the most creative, skeptical and discerning minds on the planet is the most readily apparent measure of the field’s vitality. Scientists vote with their most precious commodity — their time. By that measure, and correspondingly, the measure of vibrant new ideas that have opened stunning vistas of discovery, string theory continues to be a source of inspiration, insight, and rapid progress.

While some scientists have left the field

others, indeed so many others that string theory has been berated by for attracting too many of the highest-caliber scientists, have found that the pace of new theoretical discoveries and novel physical insights is so rapid and thrilling that they are propelled onward with vigor and excitement.

The epilogue mostly deals with three topics. The first is the failure to find SUSY at the LHC, which Greene explains is perfectly compatible with string theory, and that, even before the LHC turned on:

there were theorists at that time who emphasized that string theory seems to favor superheavy superpartners, far too massive for the Large Hadron Collider or even any remotely realistic next-generations colliders to produce.

He acknowledges that at the present time string theory predicts nothing at all about anything, that even if we had a Planck scale collider:

We would still need to understand the theory with greater depth to make detailed comparisons between calculations and data, but in that imagined setting experiment would guide theorizing much as it has across a significant stretch of the history of physics.

The second topic is the string theory landscape and the anthropic multiverse “prediction” of the CC, with about ten pages devoted to explaining that

the dark energy has its measured value because if its value had been significantly different, we would not be here to measure it.

The final topic, taking up twelve pages, is AdS/CFT. The conclusion is that:

We now have powerful evidence that — shockingly — string theory and quantum field theory are actually different languages for expressing one and the same physics. In consequence, the experimental luster of quantum field theory casts a newfound experimental glow on string theory.

No more “what is M-theory?”, instead we’re told that the question “What is the fundamental principle underlying string theory?” gets answered by:

the new lesson seems to be that quantum mechanics already has gravity imprinted into its deep structure. The power of string theory is that its vibrating filiaments allows us to more easily see this connection.

The last section is “A Final Assessment.” No A+++, but:

In the arena of unification, both in terms of showing that gravity and quantum mechanics can be united as well as demonstrating that such a union can embrace non-gravitational forces and matter particles too, I give string theory an A. String theory surmounts the difficult mathematical hurdles that afflicted earlier work on unification and so, at least on paper, establishes that we have a framework in which the dream of unification can be realized.
In the arena of experimental or observational confirmation, I give string theory an incomplete.

One thing I was looking for in the new material was Greene’s response to the detailed criticisms of string theory that have been made by me and others such as Lee Smolin and Sabine Hossenfelder over the last 25 years. It’s there, and here it is, in full:

There is a small but vocal group of string theory detractors who, with a straight face, say things like “A long time ago you string theorists promised to have the fundamental laws of quantum gravity all wrapped up, so why aren’t you done?” or “You string theorists are now going in directions you never expected,” to which I respond, in reverse order “Well, yes, the excitement of searching into the unknown is to discover new directions” and “You must be kidding.”

As one of the “small but vocal group” I’ll just point out that this is an absurd and highly offensive straw-man argument. The arguments in quotation marks are not ones being made by string theory detractors, and the fact that he makes up this nonsense and refuses to engage with the real arguments speaks volumes.

Note: after tomorrow I’ll be on a short vacation for a while in San Francisco and dealing with blog comments might take longer than usual.

Posted in Book Reviews | 17 Comments

Two More

Two more items:

  • I can’t recommend strongly enough that you watch the new Curt Jaimungal podcast with Edward Frenkel. The nominal topic is the recent proof of the geometric Langlands conjecture, but this is introductory material, with geometric Langlands and the proof to be covered in a part 2 of the conversation.

    Before getting into the story of the Langlands program at a very introductory level, Frenkel covers a wide range of topics about unification in math and physics and the difference between these two subjects. While there’s a lot about mathematics, Frenkel also gives the most lucid explanation I’ve ever heard of exactly what string theory is, what its relation to mathematics is, and what its problems are as a theory of the real world. He has been intimately involved for a long time in research in this field, playing a major role in the geometric Langlands program and working together with both Langlands and Witten.

  • Nordita this month is hosting a program on quantum gravity, aimed at covering a diversity of approaches. Videos of the talks are appearing here. The program includes an unusually large number of panel discussions about the state of the subject. One of these is a discussion of the Status of the string paradigm which has the unusual feature that two string theory skeptics (Damiano Anselmi and Neil Turok, who have worked on string theory) have been allowed to participate in the six member panel.

    The response to the failures over the last forty years seems to be that current researchers should not be held accountable for ways in which the string theory paradigm of the past has not worked out. Things are fine now that they have moved on to the Swampland program, have realized that progress on string theory will have a 500 year time-scale, and know that string theory is better than the Standard Model since it has a finite or countable number of ground states.

Posted in Langlands, Uncategorized | 13 Comments

Quick Links

Starting to write a longer, more technical posting, but for now, a few quick links:

  • The film Particle Fever (for more about this, see here) may get made into a musical. With a little luck they’ll skip the nonsense about the multiverse that blemished the film.
  • Tommaso Dorigo performs an experiment that the airline industry probably doesn’t want publicized.
  • My big problem with discussions of climate change has always been that I’m not able to evaluate the science myself, so when told to “Trust the Science”, I get queasy, all too aware that in some parts of science I can evaluate, “Trust the Science” is a really bad idea. Luckily, there is someone with a track record I can trust, Sabine Hossenfelder, who has a new video about trusting scientists and climate change. She has carefully looked into this, and explains her conclusions: here you can trust the science, the problem is very real.

    If you want to argue about climate change though, you’re going to have to find some place else.

Posted in Uncategorized | 9 Comments

Susskind: String Theory is Not the Theory of the Real World

Lawrence Krauss has just put up a long interview with Lenny Susskind. I was listening to it while doing something else, found myself shocked when the discussion got to the current state of string theory to find that I mostly agreed with what Susskind has to say. Here’s some of it (around 1:23):

I can tell you with absolute certainty String theory is not the theory of the real world, I can tell you that 100%…. My strong feelings are exactly that String theory is definitely not the theory of the real world.

Here he’s referring to “String theory” (with a capital S) as the superstring theory which has a known definition, at least perturbatively. He goes on to explain that he thinks it possible that some very different generalized or “string-inspired” theory might have something to do with the real world but that:

we don’t know and we don’t know if String theory will help us find those things…. We are still uncertain about whether whatever it is: “generalized”,
“boundaries pushed”, “string-inspired theories”. We don’t know and I think that’s the bottom line now.

As for the idea that we just need to understand how to break the superstring supersymmetry to get the real world:

People will say oh all you have to do is spontaneously break supersymmetry, blah blah well it’s been 25 30 40 years by now that nobody’s figured out how to do that.

On the “failure” description, he thinks String theory has not been a failure in the sense of showing gravitation and QM can coexist, but, as for particle theory:

Whether it’s been a failure in producing a theory of Elementary particles I would guess remains to be seen but String theory (with a capital S) is not the right theory.

On the wormhole publicity stunt (1:38):

Not a very good experiment… the experimental implementation of it left more than a little bit to be desired. That got much too much hype, yeah.

Krauss brings up the the string theory hype problem, with

we owe it to the public I think to be careful in what we say. I understand we get excited and it’s fine for physicists to get excited with each other but we have to be careful of what we say we can do because if we don’t it’ll come down and bite us in the butt.

Susskind’s response is:

I completely agree with that, but on the other hand there is a tension between that and the importance of keeping excited and letting the public know why we’re excited.

I’d have liked to hear Susskind’s thoughts on what should be done when a bunch of theorists write popular books hyping ideas that don’t work. Whose job is it to explain to the public that they were misled by overenthusiastic scientists? If he’s not going to do that, would he at least be publicly supportive of those who do this job?

Another question I’d have liked to ask him would be: given that he agrees that the idea of using string theory to understand particle physics hasn’t worked and we don’t know that “string-inspired” is the right direction to go, what next? If “string-inspired” is not the way to go, should we just give up on going beyond the SM? If not, how would he encourage young people to work on non-“string-inspired” ideas about unification that might take us beyond the SM?

Posted in Uncategorized | 20 Comments

Zombie Wormhole Publicity Stunt

I had thought that the Wormhole Publicity Stunt could now be safely ignored, with almost everyone in the physics community agreeing that this was an embarrassing disaster that was dead and buried. Even the people at Quanta had realized that they had been misled into helping promote something that wasn’t at all what it claimed to be. The Quanta promotional video that was a big part of the publicity stunt is still on Youtube, but they’ve added this text:

UPDATE: In February 2023, an independent team of physicists presented evidence that the research described in this video did not create any wormholes, holographic or otherwise.

Today though, the World Science Festival put out a Zombie revival of the publicity stunt, under the bizarre title Did Einstein Crack the Biggest Problem in Physics…and Not Know It? It starts off with Brian Greene explaining that this may be the “Holy Grail” connecting string theory/quantum gravity to experiment, with such experiments not needing an expensive collider or space telescope, just a Google quantum computer.

Brought in for the discussion are the three architects of the publicity stunt, Daniel Jafferis, Joe Lykken, and Maria Spiropulu. At a couple points there is a mention that something might be “controversial”, but there’s zero explanation of what the “controversy” might be. After starting out with some background about wormholes and entanglement, the rest of the program is basically outrageous and misleading hype, without a hint of why anyone might be skeptical about it.

I’ve now wasted too much of my life trying to debunk bogus claims of this kind, with the wormhole nonsense just the latest and most egregious example. One learns over the years that it’s impossible to stop this kind of thing, there’s no way to kill off the Test of String Theory/Fake Physics enterprise. Even if you think something has been completely debunked, its proponents will always find some way to emerge from the grave and keep going. If anyone is aware of a source for the right kind of silver bullet to stop this, let me know.

Posted in Fake Physics, Wormhole Publicity Stunts | 14 Comments

Various and Sundry

A few items of different kinds:

  • The Harvard Math department website has a wonderful profile of Dick Gross.
  • The second International Congress of Basic Science ended a few days ago in Beijing. A huge number of interesting talks, video and slides available here. My Columbia colleague Richard Hamilton was one of the winners of a Basic Science Lifetime Award, unclear how much wealthier this makes him and his fellow awardees.
  • Alphaxiv is a new website allowing for research discussion of arXiv papers.
  • The Gates Foundation evidently is no longer going to pay publishing costs for open access journals. The problem is that this kind of funding incentivizes some sorts of bad publishing practices. They refer to

    unsavory publishing practices by poor actors (paper mills, questionable quality review, unchecked pricing)

  • The Perimeter Institute last week had a summer school on Celestial Holography. This panel discussion explains some of what the people involved are trying to do.
  • Curt Jaimungal has been planning a series of programs on Rethinking the Foundations of Physics, with the topic “What is Unification?”. For the first program, featuring Neil Turok, see here. I’ll record something on Friday, part of the plan evidently is a lot of questions. If you have one, you can try leaving it as a comment and I’ll try and get some of them to Curt.
Posted in Uncategorized | 7 Comments

The Harvard Swampland Initiative

The past few years I’ve been noticing more and more claims like this one, supposedly finding a way to “connect string theory to experiment”. When you look into such claims you don’t find anything at all like a conventional experiment/theory connection of the usual scientific method, giving testable predictions and a way to move science forward. As for what you do find, for many years I tried writing about this in detail (see here and here), but that’s clearly a waste of time.

One thing that mystifies me about such claims is that I find it very hard to believe that most theorists take them seriously, always assumed that the great majority was with Nima Arkani-Hamed, who recently characterized the track record of this kind of thing as “really garbage”. But if most theorists think this is garbage, why am I seeing more and more of it? A hint of an answer comes from the paper with the supposed connection, which describes the Harvard Swampland Initiative as the place the work initiated.

I hadn’t been aware there was a Harvard Swampland Initiative, but it is a Research Center at Harvard, running an “immersive program” in which “participants collectively navigate the Swampland”. More importantly, it has no less than ten associated postdoc positions. On the scale of different ways of having influence on a field, being able to hand out ten postdoc positions at Harvard is right up there. This goes a long way towards explaining to me what I’ve been seeing in recent years. It also makes me quite depressed: when I started my career in that department in the late seventies, the idea that fifty years later this is what it would come to is something beyond any one’s worst nightmare at the time.

Update: In case anyone has any doubt about what the main goal of the Swampland program is, see here:

Recently, physicists have started a new program called Swampland to overcome the criticism of string theory that arose in the 2000s.

“Recently” seems to refer to 2005, when this started.

Posted in Swampland | 14 Comments

A Few Items

A few items, all involving Peter Scholze in one way or another:

  • A seminar in Bonn on Scholze’s geometrization of real local Langlands is finishing up next week. This is working out details of ideas that Scholze presented at the IAS Emmy Noether lectures back in March. Until recently video of those lectures was all that was available (see here, here and here), but since April there’s also this overview of the Bonn Seminar, and now Scholze has made available a draft version of a paper on the subject.
  • In three weeks there will be a conference in Bonn in honor of Faltings’ 70th birthday. Scholze’s planned talk is entitled “Are the real numbers perfectoid?”, with abstract

    Rodriguez Camargo’s analytic de Rham stacks play a key role in the geometrization of “locally analytic” local Langlands both over the real and p-adic numbers. In both settings, one also uses a notion of perfectoid algebras, with the critical property being that “perfectoidization is adjoint to passing to analytic de Rham stacks”. This suggests a “global” definition of perfectoid rings. We will explain this definition, and present some partial results on the relation to the established p-adic notion. Two natural open questions are whether tilting works in this setting; and what perfectoid algebras over the real numbers look like.

  • On the abc conjecture front, Kirti Joshi has a new document explaining his view of The status of the Scholze-Stix Report and an analysis of the Mochizuki-Scholze-Stix Controversy. To some extent what’s at issue is what was discussed by Scholze and others on my blog back in April 2020 (see here). Joshi is trying to make an argument that there is a way around the problem being discussed there, but I don’t think he has so far managed to convince others of his argument (Mochizuki refuses to even discuss with him). He ends with the following:

    Meanwhile, Scholze and I are having a respectful and professional conversation (on going) as I work to clarify his questions; while I continue to wait for Mochizuki’s response to my emails.

    He also clarifies that he has not yet finished a water-tight proof of abc along Mochizuki’s lines:

    My position on whether or not Mochizuki has proved the abc-conjecture is still open (as my preprint [Joshi, 2024a] still remains under consideration). In other words, I’m currently neutral on the matter of the abc-conjecture. However, I continue to work on [Joshi, 2024b,a] to tie up all the loose ends.

Update: In the comments someone points to this conference at MIT next week, which will start off with a talk by Faltings on Mordell past and present. That conference will be followed by this one the following week.

Update: Erica Klareich at Quanta has a very nice article about the recent proof of Geometric Langlands. About the implications of this work, there’s a nice quote from Peter Scholze:

“I’m definitely one of the people who are now trying to translate all this geometric Langlands stuff,” Scholze said. With the rising sea having spilled over into thousands of pages of text, that is no easy matter. “I’m currently a few papers behind,” Scholze said, “trying to read what they did in around 2010.”

He’s not the only one struggling to understand what was known before this proof, and daunted at the prospect of trying to read the 800 pages of five papers (see here) that make up the full proof.

Posted in abc Conjecture, Langlands | 14 Comments