String Phenomenology and the Landscape

Science magazine this week has an article about the anthropic string theory landscape controversy, entitled A ‘Landscape” Too Far, by Tom Siegfried. The only theorist quoted as opposing anthropic landscape arguments as not science is David Gross, although experimentalist Burton Richter’s talk at SUSY 2006, and letter to the Times (“I can’t understand why they don’t take up something else — macrame, for example”) are also quoted. Gross says that anthropic explanations are not science but “fun parlor games”, that “they’re not science in the usual sense of making predictions that can be tested to better and better precision over the years.”

Quoted as strongly in favor of the anthropic landscape are Susskind, Linde and Polchinski (there’s an extensive side article about Polchinski’s conversion experience to the anthropic ideology). Sean Carroll and Frank Wilczek promote the idea of the multiverse as a new Copernican revolution, and Clifford Johnson defends anthropic landscape studies with:

It would be nice if we could explore some of those unpalatable ideas just in case that’s the way nature chooses to go.

Clifford has a posting about this on his blog, where he has more to say about this. He seems to have decided to deal with the very uncomfortable position that the evidence and rules of logic put string theorists in by advocating ignoring logic, quoting Moshe Roszali approvingly about the desirability of being able to hold contradictory viewpoints simultaneously.

The Science article does get a very little bit into the crucial question that determines whether landscape studies are science or not: is there experimental evidence that can test the hypothesis? Andrei Linde objects to people who say this subject is not science with:

It’s not an easy job to do, so if you don’t want to do it, then don’t do it. But don’t say it’s not science.

It’s true that the anthropic landscape is incredibly complicated and difficult to do anything with, but I don’t see how that fact is any kind of argument in favor of it being a science. Linde does claim that gravitational waves can be use to “verify anthropic predictions about the nature of spacetime curvature.” I don’t know exactly what that’s about, presumably something to do with possible effects in the CMB due to our universe being born out of a bubble nucleation. If anyone knows of any precise “anthropic prediction” of this kind, I’d be interested to hear it. But, in any case, whether or not you can by observation see whether the universe arose in this way, I don’t think Linde answers at all the objection that the string theory anthropic landscape is inherently unpredictive and thus not legitimate science.

The Science article also includes a heavily overhyped statement about the experimental support for inflation, describing the WMAP results as having “provided strong support for inflation’s predictions.”

For a much more serious discussion of whether the string theory landscape, anthropic or not, is inherently unpredictive, you can watch the video of a talk given yesterday at the KITP by Wati Taylor on String Vacua and the Quest for Predictions. This was the inaugural talk for the semester-long program on string theory phenomenology that will be taking place in Santa Barbara. The blurb for the program is a masterpiece of hype, telling us that string theory has “the potential to predict properties of superpartners that might be found at the Tevatron or LHC and provide new experimental tests and probes of the theory”, something that I don’t think any serious person actually believes these days.

Taylor’s talk was quite remarkable, very explicitly going over exactly how bad the current situation is for efforts to get any prediction at all out of string theory. There was a lot of discussion with the audience, and much nervous laughter. Unfortunately I found some of Gross’s comments hard to hear. Taylor explained that after spending ten years himself working on trying to better understand what string theory is (he worked in string field theory), he doesn’t see any realistic prospects for significant progress on this problem during the next ten years. He listed the basic problems as the lack of a non-perturbative definition in anything but special, non-physical backgrounds, the inability to do even perturbative calculations in the kind of Ramond-Ramond backgrounds that people are using to stabilize moduli, and the lack of any definition of string theory when supersymmetry is broken by a positive CC, and thus the background is deSitter.

Discussing the landscape, he said that there was no evidence for a dynamical principle that would select the vacuum, with no hint at all of how such a thing would work, and that there is no known mechanism that would destabilize the known conjectured constructions of vacua. He goes on to ask “what can we do even if we don’t know what we’re talking about?”

He introduced his own current philosophy, which is that unless some dramatic new breakthrough comes along in string theory (which he didn’t seem optimistic about), the only idea for getting a prediction out of string theory that is still conceivable is to look for strong correlations among standard model parameters in the landscape. He didn’t even bother to mention the fashionable idea of a couple years ago that one could make predictions using statistics of vacua, that idea seems to be completely dead. He noted that as time goes on, people keep finding more and more constructions of vacua, and it now seems clear that there are so many of these that one can’t use their hoped-for discrete nature to make predictions.

According to Taylor, the only possible hope for getting a prediction out of string theory is if one can show that, for all string vacua, there is some strong correlation between values of the low energy field theory parameters. If it turns out that (for example), for all string vacua the number of generations is always 3 when there is an SU(3) factor in the gauge group, then knowing about SU(3) predicts the number of generations. There’s no known reason why anything like this should be true, and it sounds like pure wishful thinking to me, but I guess Taylor’s point of view is that string theorists should be working harder on understanding the details of the landscape in the hope of finding such a thing, because it is the only hope for getting a prediction out of the theory, and thus justifying it as a science.

Taylor acknowledges that the state of affairs is that one can’t do at all realistic calculations along these lines, but he has been doing some unrealistic ones with Michael Douglas. They’ve been looking for correlations between the size of the gauge group and the number of chiral generations in intersecting brane models. These are quite unrealistic, with no supersymmetry breaking and unstabilized moduli. In any case, their result is negative: even in this simplified, unrealistic context, they find no sizable correlations.

Given this start, it will be interesting to see how the participants manage to get through the semester without getting so depressed about prospects for string theory that they abandon it and go on to something else. One new feature of the program is that a wiki has been set up to allow for communication and discussion between the participants.

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A Counterexample to the Hodge Conjecture?

A paper appeared last night on the arXiv by K.H. Kim and F.W. Roush entitled Counterexample to the Hodge Conjecture. The authors claim to construct an example using K3 surfaces for which the Hodge conjecture is false. If they’re right about this, this would be very shocking, and I would guess that most experts will be very skeptical about the result. Most likely someone soon will find a problem with the argument, but if not there will be a lot of excitement.

The Hodge conjecture is one of the Clay Millenium prize problems, so if this paper is right, the authors may very well be entitled to $1 million. For more about what the Hodge conjecture says, see the slides or video of a popular lecture by Dan Freed, or the official statement of the problem due to Pierre Deligne.

Update: The authors have withdrawn their claim to have disproven the Hodge conjecture, acknowledging problems with their argument beginning in section 5 of the paper.

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Topology Board Resigns

One of the most prestigious journals in mathematics is called Topology. It is based at Oxford, its first issue was in 1962 and it has published many of the most important papers in the the field of topology. Since 1994 it has been published by Elsevier, and many mathematicians have been concerned over the high price that Elsevier has been charging for the journal ($1665/year). Today the entire editorial board of the journal resigned, effective the end of the year. In their resignation letter, they stated:

… the Editors have been concerned about the price of Topology since Elsevier gained control of the journal in 1994. We believe that the price, in combination with Elsevier’s policies for pricing mathematics journals more generally, has had a significant and damaging effect on Topology’s reputation in the mathematical research community, and that this is likely to become increasingly serious and difficult, indeed impossible, to reverse in the the future.

A few years ago a group of editors from another Elsevier journal in the area of topology, Topology and its Applications, also resigned, for similar reasons. They founded the new journal Algebraic and Geometric Topology, a free online journal (that also has an annual printed volume). One of this group was my Columbia colleague Joan Birman, who wrote an article for the AMS Notices about the issues involved.

Berkeley topologist Rob Kirby, back in 1997, wrote a letter to Elsevier that also discusses these issues. John Baez has a web-page about this that he has just updated to include information about the Topology situation, including a copy of the resignation letter.

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Yet More Links

A pretty random collection of interesting things I’ve noticed recently:

The Mathematical Institute at Oxford has a newsletter, and from the latest issue I learned that Quillen is retiring and that they’re planning construction of a new building. There are quite a few other articles worth reading in the newsletter, including one about George Mackey.

There’s a long interview with Lawrence Krauss on the web-site of the Cleveland Plain Dealer.

Jennifer Ouellette at Cocktail Party Physics has a nice posting about Sonya Kovalevsky.

The International Congress on Mathematical Physics (ICMP) is taking place in Rio this week, and here’s the program. Victor Rivelles is blogging from the conference, and says that talks will be put online after the conference. I agree with his comments about Witten here.

Tommaso Dorigo has some excellent recent postings about new results from the Tevatron on the top quark mass and the search for the Higgs. It looks like the Tevatron’s best bet for finding the Higgs (or for ruling it out in some mass range above the range already ruled out by LEP) will be if it’s around 160 GeV.

Also from Fermilab, there are new results from MINOS on neutrino oscillations. Sometime soon MiniBoone is supposed to be “opening the box” on their blind analysis of the data and reporting results. Anyone know when?

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Nobel Prize Winning Orgiasts

DealBreaker, which is described as “an online business tabloid and Wall Street gossip blog”, has a story about supposed Jeffrey Epstein parties “in which Nobel prize winners and various wealthy folks were all surrounded by young, ‘nude eastern european girls, frolicking with them, and then proceeding into one big orgy party.'” The story refers hopefully to the idea that this might have something to do with the physics symposium in St. Thomas funded and organized by Epstein that was mentioned here.

Update: When I wrote this blog posting last night, it was purely based on the posting at DealBreaker, which appeared to be a silly fantasy, based I assumed on some highly exaggerated version of something that happened involving consenting adults at an Epstein party. The idea of Gross-Wilczek-‘t Hooft-Hawking participating in an orgy at the conference Epstein sponsored was obviously a joke, although perhaps a bit of a tasteless one. I was completely unaware of the serious accusations against Epstein and of the fact that charges have been filed against him involving his sexual behavior. Given this context which I didn’t know about, the joke isn’t funny.

Epstein has been exceptionally generous to the math and physics community over the years. He’s entitled to the presumption of innocence and I don’t think this blog is an appropriate place for discussion of his case. So I’m shutting off further comments on this posting.

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Reviews and Errata

The August edition of Seed magazine is out on the newstands, and it contains a joint review entitled “No Strings Attached” by Charles Seife of my book and of Lee Smolin’s The Trouble With Physics. The article and magazine issue are not online at the moment. The latest issue of Physics World contains a review by Gordon Fraser, entitled String theory gets knotted.

Both reviews give a reasonable description of what the book is about, and take the first part of the book to task for being hard going, worrying that the reader may give up before getting to the less technical later parts. Seife writes “the level of detail is inconsistent” and Fraser describes “a level of detail that is unpredictable”, and this is true enough. It was a conscious decision to put together history, some basic explanations of math and particle physics, together with some explanations of the rather arcane joint successes of math and physics in recent years, all in as compact form as possible. There is a warning in the text that almost everyone is going to find parts of this hard to follow and should judiciously skip ahead. My goal was to write something that almost everyone would get something out of, from people new to the subject to those with quite a bit of technical knowledge. Undoubtedly this was an overly-ambitious idea, but on the whole I’ve been pleased so far to hear that people with a wide range of backgrounds seem to enjoy the book.

Because I cover so much ground in so few pages, many technical terms and ideas don’t get properly explained. Both Seife and Fraser fault me for not explaining “synchrotron radiation”, which is true enough, although I use the term in context to describe X-rays produced when electrons are accelerated in a synchrotron. Seife says that I don’t define “eigenstate”, although I do give a one-sentence definition immediately after first using the term. It’s true though that anyone who hasn’t taken a linear algebra course will probably just find this baffling.

Fraser complains about inaccuracies in the book, and he has found two of them: I describe Rutherford’s discovery of the nucleus as taking place at Cambridge when it was really Manchester, and while this experiment is first properly described as involving the scattering of alpha particles, at a later point in the book it is inaccurately referred to as involving scattering electrons. Some of his other complaints seem to me unfounded. I don’t say that Isabelle was canceled before planning was underway for the SSC, and I don’t understand why he claims there was no “competing collider” at CERN (the reference was to the SpS, being used as a p-pbar collider starting in 1981).

I’ve just written up an errata page for the book, which includes the two errors mentioned by Fraser. It can be found here.

Update:  John Horgan’s review of Not Even Wrong that appeared in Prospect is available at his web-site.

Sabine Hossenfelder has the first review of Lee Smolin’s The Trouble With Physics, together with an interview with Smolin.  Lubos responds to this by explaining that Sabine is a woman, thus intellectually inferior, and prone to engage in “female physics”.

Posted in Not Even Wrong: The Book | 26 Comments

P. University Press

I really am trying to ignore Lubos, but there’s just too much material…

Back in early 2004, after it became clear that Cambridge University Press was very unlikely to ever publish Not Even Wrong due to intense opposition from string theorists, I tried sending the manuscript (together with the Cambridge referee reports) around to a few other university presses to see if any of them would be willing to publish it. The response I got from two editors at well-known presses was positive comments about the content of the manuscript, but:

I think it’s too controversial for a university press to publish.

from one, and from another

it is extremely unlikely that a proposal as controversial as yours would be accepted by the [governing board].

This made clear exactly how much of a “free marketplace of ideas” exists for debate about string theory within this part of the publishing world.

An editor at Princeton University Press wrote back after considering the manuscript for a week or two with a form-letter rejection informing me that “we must often forego formal review of promising manuscripts or proposals such as yours”. I assume that, as I expected, the editor had discussed the manuscript with one of the local string theorists and thus been convinced not to pursue it.

With Roger Penrose’s help, finally late in 2004 the British publisher Jonathan Cape bought the book, planning to publish it in Britain and sell the U.S. rights to an American publisher. During the first part of 2005 I worked a bit more on the book and it was copy-edited, and by the early fall the people at Cape were in negotiations with various possible US publishers, negotiations that I had little to do with. In November the editor at Cape told me that Princeton University Press had rejected the book as “too controversial”. The next month US rights were sold to Basic Books.

I had no idea about this at the time, but it seems that someone had advised Princeton that the appropriate person to review this kind of manuscript and give an unbiased opinion about it was a Harvard string theorist with a well-known blog named Lubos Motl. Lubos has now posted his report, together with the proud claim that “a serious publisher whose name was edited used [it] to scrap the project.” He cleverly hides the true name of the publisher in question as “P. University Press”.

The report makes clear what Lubos was going on about in some of the incomprehensible parts of his Amazon review. I responded to that review here, but couldn’t even figure out a lot of what he was talking about there. With his detailed report with page numbers, this is now clear.

He was definitely on his best behavior. The report is not obviously a rant, and even includes some positive comments. He carefully went through the manuscript making many sorts of copy-editing suggestions (e.g. changing English spellings to American) and suggested a large number of rewordings of the manuscript that would make what it said agree with his vision of reality (but not mine).

Anyone interested can go through the report, compare it to the book and judge for themselves whether Lubos’s extensive criticisms make much sense. Responding to his 17 pages filled with misinterpretations of what I wrote and tendentious claims about string theory is something I don’t have the time or energy for, but I’ll respond to his summary where he says that the book should be rejected because of its “many serious and elementary errors.” He lists these as:

1. I don’t know the difference between a GeV and a TeV. This is based on one typo, on page 32, where, after writing that the center of mass energy is at the LHC is 14 TeV, I mention that it might be possible to double this energy by doubling the strength of these magnets, and “28 GeV” is an obvious typo for “28 TeV”. This typo is fixed in the US edition, thanks to the fact that he makes this argument against the book in his Amazon review.

2. He objects to my pointing out (page 179) that in a theory with broken supersymmetry the vacuum energy scale is too large by a factor of 1056, wanting me instead to say that supersymmetry “improves” the vacuum energy problem with respect to non-supersymmetric theories by a similar size factor. What I wrote is correct.

3. On page 35 I mention that the neutrinos produced by a muon collider interact weakly, so will go through the earth and produce a radiation hazard when they emerge many miles away. Lubos claims that this is wrong, that “neutrinos with hundreds of GeV of energy interact strongly”. This is nonsense. What he has in mind though is not really a “strong” interaction strength, but an electromagnetic interaction strength. He’s right that at hundreds of GeV (way above the W and Z masses), there is electroweak unification, and the weak interaction and electromagnetic interaction strengths are similar. However, he seems to be making an elementary mistake: the neutrinos involved will be hitting a fixed target, so the energies involved will be much lower.

4. He repeats a mistaken comment that I once made on my blog about about SU(2) and SO(4), one that has nothing to do with what I write in the book. His excuse for introducing this is that on page 49 I refer to “axes of rotation” in 4 dimensions, complaining that I should have explained that in 4 dimensions rotations are specified by choosing not a one-dimensional axis, but a two-dimensional plane. It’s quite true that I was simplifying things, not explaining that in N dimensions an “axis of rotation” is N-2 dimensional. Explaining that more carefully was not something I wanted to get into. Perhaps he’s right that it would be better if I put “axes” here in quotes to keep people from making the wrong assumption that he’s making.

5. He finds something wrong with the fact that even though I explicitly say that the physical Hilbert space is the trivial representation of the gauge group, I speculate that understanding the non-trivial representations of gauge groups is an unsolved mathematical problem whose solution might tell us something interesting about gauge theory. This is clearly labeled as speculation and perfectly accurate as written.

Anyway, now I know why Princeton rejected the book, although I still have no idea who put them up to choosing Lubos as a referee.

For more about Lubos and the controversy over string theory, there’s an article in the Frankfurter Allgemeine Zeitung (in German). Lubos comments that “virtually all well-known theoretical physicists” think as he does, but that only he (together with Susskind) is willing to fight compromise with very stupid people and crackpots like me. He warns “to the polite big shots: the more silent you will be the more loud the blunt opinionmakers such as Susskind or your humble correspondent will have to be.”

Posted in Not Even Wrong: The Book | 61 Comments

Susskind on KQED

Someone wrote in to tell me that KQED this morning had Leonard Susskind on to discuss string theory and his book The Cosmic Landscape. Most of the program consisted of him promoting his usual line about the string theory anthropic landscape and how the fact that string theory is compatible with anything makes it a wonderful and exciting new way to do physics. He claimed that there is no longer a substantive split among bright physicists about the landscape, that the only split is over people’s emotional response to it.

There were quite a few strange things in the interview that have little to do with reality. Susskind repeatedly claimed that string theory has a great deal of experimental support, saying:

More and more the things that string theory seems to say seem to jibe and coexist with the things that physicists and cosmologists see in the laboratory.

Near the end of the interview, when asked to cite some experimental evidence in favor of string theory he said that yes there was a lot of evidence including:

1. The existence of gravity.

2. The existence of particles.

3. The laws of the universe.

Quite remarkably he then went on to announce that QCD is a string theory and take credit for it, saying that string theory was “invented by Nambu and myself as a theory of protons and neutrons, an extremely successful theory of protons and neutrons”. According to Susskind, string theory provides “the whole explanation of protons and neutrons and nuclear physics” and that “heavy ion collisions are best described in terms of string theory”.

One questioner asked him about LQG, which he characterized as a “half-baked theory” that was “similar to string theory but not quite the same” and that “even its proponents hope that it is another way of expressing string theory.”

And what of criticism of string theory? Susskind deals with this with purely personal attacks. The interview began with the following:

Michael Krasny: Let’s talk first of all if we can about string theory since you’re kind of called the father of it and all that, I know you’ve been humble on that score, but it’s deserved. Challenges to it, now it’s being challenged left and right… ill-defined, based on crude assumptions.. tell us.

Susskind: You’re talking probably aout some of the books and blogs that have come out in very very big criticism of it. Well, I think one would have to say that some of it is due to a certain kind of grumpiness of people who…um..

Well, for example, there’s one fellow who failed as a physicist, never made it as a physicist, became a computer programmer, has been angry all of his life that he never became a physicist and that physicists ignore him, so he’s now taking out his revenge by writing diatribes and polemics against string theory.

Somehow I suspect this is about me. For the record I’m a faculty member in the math department at Columbia, in an untenured position with title of “Lecturer”, where my responsibilities include teaching, adminstering the department computer system, and engaging in research. Susskind sounds a lot more angry than I’ve ever been, and I certainly don’t feel that physicists are ignoring me.

He goes on to attack Lee Smolin:

There’s another fellow who has his own theory, I won’t tell you who his name is or what his theory is, but he writes lots and lots of theories and his theories go glub, glub, glub to the bottom of the sea before he even gets a chance to put them out there. Physicists don’t take him seriously, he’s angry and so he’s also writing a book complaining…

Just completely pathetic.

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Templeton Funding for Physics Research

The Templeton-funded FQXI organization has announced today the awarding of 30 grants totalling more than $2 million dollars for foundational research in physics. On the one hand I’ve always been dubious about this organization since it is funded by a foundation dedicated not to scientific research but to bringing science and religion together. On the other hand, given the sad state of some of current theoretical physics research, the idea of an organization with a different perspective coming in with new funding and the ability to encourage new ideas that are not getting attention seems highly promising.

The proposal summaries for the successful grants are often so vague that it’s hard to tell what they are actually about, although presumably the full proposals give much more detail. FQXI seems to have succeeded in keeping the Templeton religious agenda at bay, with none of the grants trying to bring religion into science. But I have to confess I find the list of grants rather discouraging. FQXI will be funding several well-known string theorists, a group that has not exactly been starved of funding or attention in recent years. Some of the grants are for “multiverse” research, again something that I don’t think physics desperately needs more of right now.

Almost completely missing from the list of topics awarded grants is high energy physics, or any foundational research into the standard model. Also very hard to find is any interest in further research into the new mathematical ideas that have come out of quantum field theory research during the last thirty years. In brief, what seems to me the most promising way forward for foundational research in physics, working on better understanding the standard model QFT and its mathematical context, doesn’t seem to be something on the FQXI agenda. To be fair, I have the depressing suspicion that if I had to go through all the grant proposals submitted to them, I might not have been able to do much better in terms of coming up with promising things to fund.

Last week an interesting semester-long program on Non-commutative Geometry began at the Newton Institute in Cambridge, and some of the talks have already begon to appear on this web-site. The program will include a Templeton-sponsored workshop in early September on the topic of Fundamental Structures of Space and Time. Like FQXI, the workshop mostly seems to be free of religious influence, although there will be a public panel discussion on The Nature of Space and Time which will feature two clergymen.

Over at Cosmic Variance, Sean Carroll, who is at least as dubious about Templeton as I am, has a much more positive take on the FQXI grants. In the comment section FQXI associate director Anthony Aguirre points to a new mission statement at Templeton. At their web-site you can also watch a rather long video about this if you’re so inclined, or see a list of upcoming conferences they sponsor on topics in science and religion (they’re especially interested in cosmology).

Update: There’s a story about this at Inside Higher Ed.

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Conferences, etc.

Lattice 2006, the big yearly conference on lattice gauge theory, is going on the week in Tucson. The program is here, and both plenary and parallel session talks are being posted. Georg von Hippel is blogging from the conference, his blog entries so far are here, here and here. One of the main topics is dynamical fermions, with a nice talk by Steven Sharpe. He discusses staggered fermions, which unfortunately come quadrupled with respect to what one wants, providing four “tastes” of fermions instead of a single one. The question then is whether one can get away with just taking the fourth root of the fermion determinant, which then makes the theory non-local. He concludes that this is not “Good” (i.e. having properties one would like even for non-zero lattice spacing), but it is not “Bad” (wrong continuum limit), it is just “Ugly” (for non-zero lattice spacing there are unphysical contributions, but these can be dealt with and made to go away as the lattice spacing goes to zero).

At the YITP in Stony Brook, a month-long workshop funded by Jim Simons on the String Landscape and the Swampland has begun this week. A schedule with links to audio of the talks is here. Today Cumrun Vafa is giving a talk on the beach about the Landscape and the Swampland.

The XXXIII International Conference on High Energy Physics (ICHEP), the big summer conference on high energy physics at which many HEP experimental groups announce their results, started yesterday in Moscow. Fermilab has a special web-page for abstracts from its experimental groups.

There’s a review of Not Even Wrong by John Horgan in the August issue of the British magazine Prospect, entitled Stringing Us Along. Yesterday a short interview and discussion involving me and Daniel Waldram, a string theorist from Imperial College, was recorded by the BBC. I hear it was broadcast today on their “Today” radio program. Not sure how it came out after editing, and I can’t really bear to listen to recordings of myself, but the discussion was perfectly polite, with no one calling anyone else names.

The August issue of Scientific American has an article about Alain Connes and his non-commutative geometry interpretation of the standard model. He continues to work on this topic, from what I hear most recently thinking about different versions of this idea that incorporate right-handed neutrinos. For some of his latest still quite speculative ideas about quantum field theory, see his recent lectures on Noncommutative Geometry and Physics, as well as other papers available at his web-site. In his version of the standard model the Higgs field has an unusual origin and one naturally gets a relation between the Higgs coupling and gauge couplings, but this is at some very high energy scale where the idea is that the use of non-commutative geometry will replace standard GUT ideas. To extract a prediction of the Higgs mass from this one has to make various assumptions, including a desert hypothesis (no new physics from 1 Tev up to the unification scale), so it’s still unclear to me how solid a prediction this really is. For an example of a recent paper about this issue, see one by Knecht and Schucker.

Update: A commenter points to the website of MG11, the Marcel Grossman meeting. Videos of the talks are available. Alejandro Satz is blogged from the conference.

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