Not Even Wrong

I haven’t been able to confirm Lubos Motl’s claims that the Perimeter Institute offered him a job, but yesterday they announced that Lenny Susskind has accepted an offer to join them as an associate member. According to the announcement, this means that “he will spend focused time at PI each year to conduct research activities.”

At the Frankfurt book fair, Backreaction’s Stefan Scherer took a picture of one of the displays, that featured a large poster advertising Susskind’s forthcoming book The Black Hole War, which carries the subtitle “My battle with Stephen Hawking to make the world safe for quantum mechanics”.

Update: Marcus at Physicsforums points to this interview with Susskind about his forthcoming book:

For two decades an intellectual war took place between Stephen Hawking, on the one side, and myself and Gerard ‘t Hooft on the other. The book is about the scientific revolution that the controversy spawned, but also about the colorful personalities and the passions that gave the story its drama. The story starts in Werner Ehrhardt’s Mansion in San Francisco, and eventually passes through all seven continents, including Antarctica.

Various things that I’ve been wanting to mention:

Steven Hawking has a paper out, on his version of the Landscape story, using amplitudes that don’t rely upon string theory or eternal inflation. But just like the string theory Landscape I don’t see how his proposal is testable. It completely gives up on saying anything about particle physics, even statistically

If the volume weighted amplitude for the standard model vacuum is non-zero, it is irrelevant what the volume weighted amplitudes for other vacuum states are. The theory can not predict a unique vacuum state. Instead we have to input that we live in the standard model vacuum.

He ends with

The amplitudes will be highest for states in which the whole universe is in a single state, rather than a mosaic of different states, as predicted by eternal inflation. There will be no primordial production of topological defects, such as monopoles, and cosmic strings. Not all states in the landscape will have significant amplitudes, but there will be more than one that do, so M theory does not predict a unique low energy particle physics theory. It is implausible that life is possible only in one of these states, so we might have chosen a better location.

John Baez has a new This Week’s Finds out, with interesting discussions of the topos-theoretic approach to quantum theory, and the analogy between the integers and three-dimensional space. This semester he is running a seminar on “Geometric Representation Theory” (not clear how close this is to the use of the term by those representation theorists who work with D-modules). Videos and lecture notes from the talks are available, along with some blog postings (see here and here).

As always, Terry Tao’s blog has wonderful postings and articles, often of a general expository nature. For some recent examples, see one about the Schrodinger Equation, and another about Jordan normal form.

Besides excellent expository physics postings such as the recent one on single top production, Tommaso Dorigo gives a more realistic view of the academic life than most other blogs. For some understanding of how academics feel about the travel opportunities that conferences present, and what they think about the question of whether their employer should be financing what sometimes feels like a vacation, see his recent posting on Ethical aspects of professional conference-going. I strongly endorse his recommendation of the David Lodge novel Small World.

There’s a string theory wiki out there, aimed at students trying to learn string theory, which has been set up by the Centre for Research in String Theory at Queen Mary College. Much of the site is a listing of the one thousand or so review and other papers an aspiring young theorist should read and absorb to get an idea of what is going on with string theory. Also listed are various blogs, including this one, that might save students some of this reading…

Last night a new paper by Lenny Susskind appeared on the arXiv, carrying the title The Census Taker’s Hat. It seems that Lubos Motl stayed up much of the night reading it, with a long posting on the subject appearing before 8 am in the Czech Republic.

Now that he’s no longer employed within the string theory academic community, Lubos feels free to treat Susskind in much the same way he did Lee Smolin, characterizing Susskind and collaborators as a “gang” of “leftists”, and making fun of the central notion in Susskind’s paper (that of a preferred observer called the “Census Taker”) by referring to it as “Stalin the daddie”. He gives a detailed section-by-section critique of Susskind’s paper, here’s some of the flavor:

Well, this is about 7th assumption that seems obviously wrong to me – this one is really bad – but let’s go on reading. I still haven’t understood what question he exactly wants to be answered. Equally seriously, I don’t understand whether he thinks that his speculation about the location of the central committee is a hypothesis with some evidence, a nice hypothesis without evidence, God’s ad hoc decision, or why does he exactly believe it.

Unlike Lubos, I haven’t tried to follow the details of Susskind’s 65 page argument, but did try to figure out how he addresses the central problem of any multiverse scenario: how do you test it? If you can’t test it, it’s not science. Susskind describes exactly two possible ways that information about the “Ancestor” universe to ours may be accessible.

Susskind begins by claiming that “To many of us, eternal inflation, bubble nucleation, and a multiverse, seem all but inevitable”, but goes on to note that the fact that one has an infinity of universes that one doesn’t know how to count means that “the inevitable has led to the preposterous”. A reasonable person might decide that this means that things weren’t so inevitable, but Susskind feels that one must soldier on, although “In my opinion, this situation reflects serious confusion, and perhaps even a crisis.” This paper is his attempt to address the crisis.

Susskind quotes Bjorken as having told him that the Multiverse is “the most extravagant extrapolation in the history of physics”. He seems rather proud of this, but somehow I suspect that Bjorken didn’t mean this as a compliment…

I spent Thursday down in Princeton attending talks at the second day of a symposium on mathematics, quantum mechanics and the legacy of John von Neumann, organized by Hans Halvorson of the Department of Philosophy. A blurb about the symposium is here, and a list of talks is here. There were quite a few interesting people there that I enjoyed having the opportunity to talk to, including John Baez, who gave the keynote presentation (available on his web-site). Most of the talks were pretty far from my own interests (an exception would be that of Stephen Summers, on the vacuum state in algebraic quantum field theory), but it was interesting to see what sorts of things people interested in quantum mechanics, mathematics and philosophy are up to. At the end of the day I joined a group of people on a trip to visit von Neumann’s grave, which was nearby.

One of the topics that some people at the symposium are working on is that of reformulating quantum mechanics using topos theory, an idea promoted by Chris Isham. For more about this, see an article here from the FQXI web-site. I have to say that, like ‘t Hooft and Dijkgraaf who are quoted in the article, I’m skeptical about this kind of thing, since topos theory is such a general formalism that I don’t see how it is going to provide the sort of non-trivial new idea that people are looking for. But, you never know, something unexpected may come out of it. The article also describes Isham’s “somewhat mystical view of reality” and the fact that he likes to “take part in interesting meetings on the twilight zone between physics and religion.” At one earlier this year about “God and Physics”, he speculated that “a logic of partial truth might be useful in comprehending the Trinity.”

As you might have guessed, the Templeton Foundation is deeply involved in funding all of this, from the “God and Physics” meeting, to an FQXI grant for Isham, to the symposium on von Neumann itself. Besides the event I was at, yesterday and today they’re also sponsoring two other events at Princeton: a panel discussion on Budapest: The Golden Years, Early Twentieth Century Mathematics Education in Budapest and Lessons for Today and a program called Living in von Neumann’s World: Scientific Creativity, Technological Advancement, and Civilization’s Accelerating Dilemma of Power.

At lunch I got to meet and chat a bit with Chuck Harper, who is in charge of much of Templeton’s grant-making in the scientific area. The mechanics of the symposium were very ably organized by him and others, and they were all quite friendly to me. Either they’re pretty oblivious and unaware of my vocal criticism of Templeton’s activities, or just extremely gracious. I’m guessing the latter.

Templeton wasn’t funding my day-trip down to Princeton, but they were paying for the dinner I consumed that evening in some very enjoyable company. Among other topics our dinner conversation included a long discussion about our hosting organization and what significance its activities and funding have for the sciences. Some people are concerned about involvement with an organization led by someone (John Templeton Jr.) known for his evangelical Christianity and devotion to funding right-wing political organizations (this article in the New York Times mentioning Templeton’s involvement in “Freedom Watch”, a new group that has done things like run ads suggesting Iraq was responsible for 9/11). As far as I can tell, the Templeton Foundation is careful to keep the right-wing politics out of its activities. However, they unambiguously are devoted to trying to bring science and religion together, and that’s my main problem with them. Their encouragement of religion seems to be of a very ecumenical nature, not pushing especially the evangelical Christianity of Templeton Jr. Still, more influence from a religious world-view seems to me to be the last thing that physics in particular needs right now, especially with the on-going challenge to the scientific method represented by the anthropic landscape, a topic that Templeton has strongly encouraged work on through funding various conferences and other activities.

Others pointed out to me correctly that Templeton wasn’t solely to blame for the anthropic landscape, that the real problem was its popularity at the top level of the physics establishment, leading to funding and influence mainly from other sources. The symposium I attended had not a trace of involvement of religion in it, and it seems that Templeton is careful to keep this out of some of the things that it funds as pure science, with another good example being the FQXI organization. They appear to have a serious commitment to the idea of funding things in physics that can be considered “foundational”. People working in some such areas often are considered out of the physics mainstream and so find it hard to get their research funded. For them, Templeton is in many ways a uniquely promising funding source.

So, it was an interesting day, I’m glad I went, and so have to thank the Templeton people (and Halvorson) for the work they did in organizing the event. I remain concerned though about the significance for physics of this large new source of funding, out of scale with other such private sources, and with an agenda that seems to me to have a dangerous component to it.

Update: John Baez writes about the symposium here, including (courtesy of Jamie Vicary) a picture of a bunch of us standing behind von Neumann’s grave trying to look suitably solemn.

Update: Thanks to many people for interesting comments, I especially recommend reading the one from Klaas Landsman here. Klaas both explains some of the motivations of recent work on topos theory and physics, and has interesting comments on the issue of Templeton funding. He notes that even a proposal by ‘t Hooft for funding foundational research on QM was rejected by conventional sources, making clear that the less conventional Templeton source of funding is one of the few alternatives open to people in this field.

Things are not going well for string theory on the public relations front. Someone just pointed me to the poll at Wired magazine they call String Theory Smackdown, where the side arguing for string theory is losing the voting by more than 3 to 1.

The argument that seems to be carrying the day with the public is the simple one that a supposedly unified theory that can’t make a single testable prediction, despite more than twenty years of work, must have something really wrong with it. Many string theorists acknowledge that this is the situation the theory is in, but make the case for what they see as promising aspects of the theory that justify continued work on it.

Unfortunately, some string theory partisans have chosen to react to recent criticism not by acknowledging the fact that string theory can’t be tested, but by making misleading claims that the theory does make predictions and is testable. On Monday here at Columbia, Gordon Kane gave a colloquium talk of this kind, with the title String Theory and the Real World — a “new” subfield, string phenomenology. Kane began by quoting David Gross as being highly skeptical about the whole idea of string phenomenology, arguing “we don’t know what string theory is, how can it have a phenomenology?”. Kane’s claim that “string phenomenology” is a new field is rather peculiar, since it was an active subject back in the early 1990s. It is however true that, for better or worse, it has become a more active one the past few years, as string theorists have reacted to their colleague’s complaints that they do mathematics, not physics, by trying to sell themselves as “phenomenologists”.

Kane mostly actually ignored string theory, concentrating on supersymmetry, which he has been promoting for more than 20 years (he had an article about “Is Nature Supersymmetric” in Scientific American back in 1986). He described seeing supersymmetry as essential, pretty much the only way of getting a “window to the Planck scale”. There was some mention of the idea that string theory makes predictions about cosmology, but the “prediction” was just that in “most” string theories, the size of B-mode polarization in the CMB is unobservably small. He put up plots from this recent paper, claiming that one could distinguish different string “backgrounds”, by their “footprints” on LHC data. Looking at the paper, it appears to be based upon a large number of assumptions (e.g. that one just gets the MSSM), designed to provide enough constraints so that one could not get absolutely anything, but not so many as to be forced into contradiction with experiment.

For another exercise of this kind, take a look at Kane’s 1997 Physics Today article entitled String theory is testable, even supertestable. This included an impressive looking detailed, specific spectrum of the masses of superpartners, implying that it was the sort of thing “predicted” by string theory. Only problem is that by now it looks to me as if these “predictions” are almost all in disagreement with experiment. Back in 1997 Kane was arguing against John Horgan that string theory really was testable, that it “would predict a specific spectrum of particles and superpartners that can be compared with experimental data”. He seems to have backed off on that claim, there were no such spectra mentioned in his talk this week. About the landscape and its exponentially large number of possibilities, he had little to say except that we “have to learn how to think about this”.

He repeatedly made the claim that “String theories DO give predictions” and “String theory is falsifiable”, giving as an example work by 3 graduate students of Mary Gaillard that showed that one specific heterotic string compactification scheme gave no light neutrino masses and thus led to models incompatible with experiment. Another repeated point was that the problem with string phenomenology was just a lack of manpower. If more people (especially graduate students) were doing these calculations, great progress would be made. In the question session, asked about the CC, he said that there were lots of ideas about how to solve it, what was needed was just more people doing calculations.

Evidently many agree with him, since the IAS has just announced that next year’s summer program for graduate students and postdocs will be on Strings and Phenomenology.

I decided not to ask any question in the question session, having the overwhelming feeling that arguing with “string phenomenologists” is now just wasting one’s breath. They have made it clear that, no matter how dubious the arguments needed, they’re going to keep promoting this field as predictive and highly relevant to the LHC. The intellectual “dead zone” of “string phenomenology” will be with us no matter what and perhaps even come to dominate particle theory until LHC results are in. May they stay as close as possible to schedule! (Kane estimates first physics collisions next September).

The latest issue of the Onion has some HEP-related coverage. It includes a nifty graphic, and has this inspirational message from one of our congress-people

“Now, I’m no science major, but if I’m being told by a group of people that the protons, neutrons, and electrons need unifying, then I think we owe it to the American people to go in and unify them,” Rep. Mark Udall (D-CO) said. “After all, isn’t a message of unity what we want to send to our children?”

Various things of interest, ordered in terms of increasing mathematical content:

This week Fermilab has hosted a P5 meeting and an annual program review.

At the P5 meeting, Fermilab director Pier Oddone made the case for planning to keep running the Tevatron through FY 2010. He pointed out that the current LHC schedule has “no float” for any possible delays in putting the hardware together, and only allows for 3 months between first beam and physics collisions, drawing the conclusion that it was unlikely the LHC would have physics results competitive with the Tevatron before the currently planned closure date of September 2009. Presentations from D0 and CDF claimed that, if the machine runs through FY2010 and provides them with a projected luminosity of 6.8 fb^-1, they should be able to exclude the possibility of existence of the Higgs at 95% confidence level over almost the entire possible range of Higgs masses (if it isn’t there!) or find 3 sigma evidence for its existence in some mass ranges (if it is).

At the program review, there was an overview of particle theory at FNAL from Andreas Kronfeld, and a presentation about the LQCD lattice gauge theory project from Paul MacKenzie. Several interesting documents reviewing the state of the lattice gauge theory work are here.

Over the last few months I’ve often told myself that I should learn more about Howard Georgi’s ideas concerning “unparticles” and try and write something about them. Sabine Hossenfelder has saved me the trouble, you can learn about this here.

Last month there was a symposium at Durham on Twistors, Strings and Scattering Amplitudes, a subject which has seen some exciting activity recently. Zvi Bern reviewed progress on computing multi-loop amplitudes in N=4 gauge theory and in gravity theories. He noted that the recently found unexpected one-loop cancellations in N=8 supergravity (leading to the so-called “no triangle hypothesis”) are not due to supersymmetry and are already there in non-supersymmetric gravity. This leads him to conjecture that other gravity theories will be perturbatively finite, he explicitly mentions N=6 supergravity. Nathan Berkovits discussed multi-loop superstring amplitudes in the pure spinor formalism, ending up by noting that there are possible problems caused by needed regularization of ghosts in this formalism, and they affect high-energy contributions to the 4 point 3-loop amplitudes. Not that I’m saying I think this will happen, but it would be pretty damn funny if it turns out that multi-loop superstring amplitudes aren’t finite, multi-loop supergravity ones are…. There’s also a talk by Jacques Distler, who continues his ceaseless quest to figure out how to make physics available over the web in a form that no virtually no web-browser can display properly.

Finally, I strongly believe in advertising equivariant cohomology as much as possible, for mathematicians and for physicists. The new lecture notes by Matvei Libine are a good place to read about it.

This is not a very timely posting, since my readers let me down by not telling me about this when it came out. Last month the Wall Street Journal ran a piece by Lee Gomes about a workshop on the Tate conjecture held recently at AIM, the institute now housed in Palo Alto behind Fry’s Electronics, at some point to move to its own castle. The piece was entitled Math Whizzes at Conference Prove Just How Exciting The Tate Conjecture Can Be, and it gave a good feel for what a math workshop looks like to an outsider. The full piece is not available on-line, but the MAA Math News has an article that quotes much of it.

I noticed two inaccuracies in the piece. It begins with:

One is tempted to feel sorry for mathematicians. In contrast to, say, physicists, mathematicians don’t have their own Nobel Prize; they rarely get hired by hedge funds; they don’t have grand toys like particle accelerators to play with; and their work is usually so recondite that not even their families understand it.

This is pretty accurate except for the part about hedge funds. I know quite a few mathematicians who have gone to work for them, and at some of them mathematicians form a sizable fraction of the people holding so-called “quant” jobs.

At the end of the piece there’s the news:

Progress, though, was made. V. Kumar Murty, of the University of Toronto, said that as a result of the sessions, he’d be pursuing a new line of attack on Tate. It makes use of ideas of J.S. Milne of Michigan, who was also in attendance, and involves Abelian varieties over finite fields, in case you want to get started yourself.

Milne has recently posted an article on the arXiv (also available on his web-site here) that corrects this, noting

This becomes more-or-less correct when you replace “Tate” with the “weak rationality conjecture”.

Milne’s article is actually a write-up of his talk at the AIM workshop, and it does an excellent job of surveying the state of what is known about questions related to the conjecture.

I was going to try and put together some explanation of what the Tate conjecture says and how it relates to other parts of mathematics, but since this is a tricky business, and since experts who really understand this have already done a better job elsewhere than I could ever do here, I’ll mostly just provide links.

The Tate conjecture is an analog for varieties over finite fields of one of the Clay Millennium problems, the Hodge conjecture, which deals with the case of varieties over the complex numbers. For a popular discussion of this, there’s a nice talk by Dan Freed on the subject (slides here, video here). In the number field case there’s another Millennium problem analog, the Birch and Swinnerton-Dyer conjecture. For a popular discussion of this, there’s a video of a talk by Fernando Rodriguez-Villegas (who has a blog here).

These conjectures all revolve around the idea that it should be possible to relate three apparently different mathematical objects associated with an algebraic variety:

There’s no evidence we’re close to a proof of these conjectures, but there are many partial results and the conjectures can be proved in certain special cases. Experts seem convinced of the truth of these conjectures despite the lack of proof, one reason being that they fit nicely into the general philosophy of “motives” first promulgated by Grothendieck. One expert on the Tate conjecture, when asked about the probability of it not being true, responded something like: “Don’t be silly. It’s true.”

For more about the Tate conjecture, there are two documents put together for the AIM workshop that may be helpful: an expository piece for a wide audience here, and a technical summary of the workshop here.