Hiatus

I’m leaving tomorrow night on a trip that will take me away from internet access for a week or more. During this time I won’t be posting anything, or able to manage the comment section, so I’ll be shutting off comments late tomorrow afternoon, turning them back on when I’m back on April 4th.

The trip will take me to the middle of the Sahara, in Niger, where I hope to see the total solar eclipse next Wednesday. I’d like to be able to claim that this is some sort of scientific expedition, involving perhaps testing GR by measuring the deflection of starlight during the eclipse. But that’s not the case; this is really just an excuse to go to an exotic location for a much-needed vacation. I thought for a moment about renting a satellite phone with a modem, and blogging from the desert, but decided that would seriously impinge on the important vacation aspect of this trip.

Another reason for the hiatus is that I haven’t been able to come up with an inspired idea for an April 1 posting, and this gives me an excuse for giving up on trying to do that again this year. If I get any good pictures, maybe I’ll finally get around to putting something more visually appealing here.

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Letter From Schroer

Bert Schroer has sent me a very long and interesting comment for posting here. I’ve put it into a separate web-page. It includes both a lot of history and many different ideas. Unfortunately I don’t have the time right now to write much about it in response, but just will make one point about the part that he explicitly addresses to me.

Schroer claims that geometric methods in QFT have so far only been useful in dealing with free fields in a fixed background gauge field or metric. This is largely, but not completely true. Most of our reasons for believing the standard model are based on perturbative quantization of gauge fields, and for this it’s true that geometrical methods are not strictly necessary. But for QCD, we need a non-perturbative quantization of the gauge fields, and here lattice QCD is the best we’ve got. It is based upon discretizing a geometrically formulated path integral, preserving as much of the gauge field geometry as possible. My own guess is that there is still a lot to be learned about non-perturbative quantization of gauge fields, based upon the geometrical formulation of the problem given by the path integral approach and I have been working on speculative ideas of how to do this (some of which even involve gerbes and algebraic geometry…). This is still work in progress, maybe I’ll someday find it really can’t work, but for now I’m quite optimistic.

There’s also a new survey paper on QFT from Fredenhagen, Rehren and Seiler. The authors discuss the current state of understanding of QFT, with some points of overlap with Schroer. Like Schroer, they also discuss string theory in detail, and are critical of the inability of the string theory research program to come up with precise statements about what the theory is supposed to be. They are however, much less forceful in their criticisms than Schroer.

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New Top Quark Mass

Via Tommaso Dorigo of the CDF collaboration, the news that the Tevatron Electroweak Working Group has released a new analysis of combined CDF and D0 data with the most accurate result so far for the top quark mass: 172.5 +/- 2.3 Gev. Last summer this value was at 174.3 +/- 3.4 Gev (see a posting here), an improvement over the earlier value derived just using Run I data of 178.0 +/- 4.3 Gev.

The paper describing these results is available now here, and will soon be on the arXiv as hep-ex/0603039. This new result represents a determination of the top quark mass to 1.3% accuracy, and the paper claims that further Run II data should ultimately allow an accuracy of better than 1%.

For a talk about the significance of the top quark mass, see here.

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2005 Topcites

The SLAC SPIRES yearly list of most frequently cited papers in 2005 is now available. I commented recently on what this was likely to show, quantifying the intellectual collapse of string theory since 1999.

There are exactly three post-1999 particle theory papers among the top 50 in the list. Two of these are about flux compactifications and have moved up significantly since last year reflecting the increasing popularity of landscape studies. At number 18 (up from 29) is the KKLT paper from early 2003, and at number 34 (up from 54) is an earlier paper from 2001 by Giddings, Kachru and Polchinski. The only non-landscape post-1999 paper to crack the top 50 is the 2002 Berenstein, Maldacena and Nastase paper on PP waves (which is part of the AdS/CFT story). It just barely makes it at number 49 (down from 32 last year).

The highest ranked post-2003 paper is the Arkani-Hamed and Dimopoulos 2004 paper on split supersymmetry. It’s at number 106, with a total of 103 citations.

There’s also a new 2005 All-time topcited list. Maldacena’s AdS/CFT paper from 1997 remains very near the top, with 3881 citations. There is nothing post-1999 on this list, which includes the top 186 papers. If recent trends continue indefinitely, it seems entirely possible that no post-1999 particle theory paper will ever make this all-time top-cited list, allowing historians of science to conclusively pinpoint the death of particle theory as having coincided fairly precisely with the end of the 20th century. This is optimistically assuming people lose interest in the landscape. It is also possible that landscape studies will come to dominate the field, with landscape papers then climbing up into the all-time topcited list. This doesn’t really change the conclusion about the death of particle theory.

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2006 Templeton Prize

The 2006 Templeton Prize of $1.4 million was awarded yesterday to cosmologist John Barrow. Barrow is the author of about 400 scientific articles and nearly 20 popular books. In recent years, one of his interests has been the possibility of time-variation of fundamental constants. At a press conference in New York yesterday, he said that new data on quasars expected within two months may provide evidence of such variation.

Science and Spirit has an article by Barrow written for the occasion and called The Unexpected Universe. It also has a report on the press conference that goes on at length about the string theory anthropic landscape and credits Barrow (and Tipler) with writing a “highly influential book for the interface between science and religion” back in 1986 entitled The Anthropic Cosmological Principle. The report includes the following gibberish:

String theorists also assume that other universes, which collectively compose a “multiverse,” exist in other dimensions outside of our observational parameters. Our own very limited experience suggests that finely tuned universes might be more likely to exist than more randomly constructed universes, at least over the long term. If this is true, then fine-tuning may be a guide that cosmologists can use to one day locate and observe an alternate universe.

Barrow himself however doesn’t seem to have much to say about the string theory landscape.

Maybe if Leonard Susskind hadn’t said unfriendly things about having no use for religion in his recent book, he could have been $1.4 million richer instead of Barrow. The New York Times headlines its story about this Math Professor Wins a Coveted Religion Award. A mathematician friend of mine is kind of outraged at this and wants to write to the Times to complain about the description of Barrow as a “math professor”.

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Three-year WMAP Data Now Out

Data from the second and third year of the WMAP satellite experiment has just been released a few minutes ago. There a press release and other general information page. The scientific paper explaining what this new data tells us about cosmology is Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Cosmology. This is a good time to admit that I’m no cosmologist, and thus not the person to get information from about the significance of these results. However, I expect some of the earliest informed discussion of them should take place on various blogs, and I’ll be linking to those as I see them.

Update: Comments from Sean Carroll and Steinn Sigurosson. Discussion at CosmoCoffee and Bad Astronomy and Universe Today Forum. Also a posting from Lubos. I’m no expert here, but Lubos’s comments seem to me to be nonsense (I find it hard to believe that in the three-year data set they’re resolving structure 100 times smaller than in the first year, and I think he’s just completely wrong to say that this data rules out ekpyrotic or cyclic models).

Update: Christine Dantas also has more about this.

Update: Amazingly, Lubos still is maintaining that the 3 year results have 100 times better angular resolution than the 1 year results. This kind of fanatical inability to ever admit that one was wrong about something goes a long way towards explaining the current state of string theory.

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George Mackey 1916-2006

It was sad to see an announcement today on the Harvard math department web-site of the death earlier this week of emeritus Harvard professor George Mackey.

Mackey’s mathematical work is dear to my heart, since its central concern is the relationship between quantum mechanics and representation theory. He began his career in functional analysis, getting his Ph.D. in 1942 under Marshall Stone. Back in 1930 Stone and von Neumann had proved a crucial theorem about quantum mechanics, a theorem which essentially says that once you choose Planck’s constant, up to unitary equivalence there is only one possible representation of the Heisenberg commutation relations. This uniqueness theorem is what allows one to just define quantum theory in terms of the operator commutation relations, and not worry about which explicit construction of the representation of these operators on a Hilbert space one uses. The theorem is only true for a finite number of degrees of freedom, and thus doesn’t apply to quantum field theory, one reason why quantum field theory is a much more subtle business than quantum mechanics. Stone and von Neumann put their work in the context of representation theory of the Heisenberg group (actually due to Weyl) and this was of great interest to mathematicians since it was one of the first results about the representation theory of non-compact Lie groups. For an excellent history and introduction to this subject, see the paper A Selective History of the Stone von-Neumann Theorem by Jonathan Rosenberg.

Mackey seems to have been the person who gave this theorem its name, in his important paper of 1949 “A Theorem of Stone and von Neumann” which generalized it. Over the next few years Mackey extended this much further in a series of papers on induced representations (representations of a group G “induced” from representations of a subgroup H). The foundation of this work is now known as the Mackey Imprimitivity Theorem, and it provides a powerful tool for studying representations of a large class of non-compact groups, including especially semi-direct products.

Mackey was a wonderful expositor, and over the years I’ve learned a great deal from some of his expository books and papers. His 1963 monograph Mathematical Foundations of Quantum Mechanics is very readable. In 1966-67 he gave a course at Oxford on representation theory and its applications, the notes of which were published in 1978 as Unitary Group Representations in Physics, Probability and Number Theory. This is a fantastic book, covering a wide range of topics relating quantum mechanics, representation theory and even number theory. A later collection of expository material, from 1992, was published by the AMS as The Scope and History of Commutative and Non-Commutative Harmonic Analysis. It contains what is perhaps the best of his expository work, an historical survey first published in the AMS Bulletin in 1980 entitled “Harmonic Analysis as the Exploitation of Symmetry”.

While I never took a course from Mackey, I did get to talk to him on several occasions. I especially remember a conversation in which he described his technique for speaking French during the time he spent in France. He decided to speak his own rationalized version of the language, eliminating extraneous and confusing structure like genders of nouns. Not clear what the French thought of this. He was an original, and I’m sad to hear he’s no longer with us.

Update: Stephanie Singer has put up copies of letters from Mackey on her web-site. A memorial service for Mackey will be held in Cambridge on April 29.

Posted in Obituaries | 9 Comments

Baez and Schroer

John Baez’s latest This Week’s Finds is out. As in other recent issues, he starts with some of the most fantastic astronomical pictures around. He also links to his recent non-technical talk Fundamental Physics: Where We Stand Today, which also has fantastic pictures. In the talk he describes how, since the 80s, “many physicists feel stuck”, and “continue to make predictions but they are usually wrong or not yet testable. This has led to a feeling of malaise. Why are they failing?” He partially answers this question with

But when their theories made incorrect or untestable predictions, many theorists failed to rethink their position. It is difficult to publicly retract bold claims. Instead, they focus more and more attention on the mathematical elegance of their theories… some becoming mathematicians in disguise. (There are worse fates).

Someone who was at the talk reports that afterwards Carlo Rovelli asked Baez “whether what he had just presented didn’t imply that the theoretical physics of the last 25 years was ‘junk'”, and that Baez “replied after some hesitation ‘You said it'”.

A physicist who has been concerned for quite a while about the sociological changes in how particle theory is done and the ever more critical situation that the field finds itself in is theorist Bert Schroer. His specialty is in the area of algebraic approaches to QFT, especially conformally invariant ones. More than a decade ago he was writing review articles on QFT well-worth reading that included warnings about what has been going on. For some examples, see his Reminiscences about Many Pitfalls and Some Successes of QFT Within the Last Three Decades and Motivations and Physical Aims of Algebraic QFT.

Schroer has just posted three new articles on the arXiv. One of these is entitled String theory and the crisis in particle physics and is well worth reading if you have any interest in the ongoing controversy over string theory. Schroer has many interesting points to make on the subject, and one of his main concerns is that a great deal of knowledge developed about QFT during the last century may be effectively lost as the training of young theorists focuses on string theory. This article has already drawn Lubos Motl’s trademark rant accusing anyone skeptical about string theory of being an incompetent crackpot.

The second of his new articles is called Physicists in times of war and begins with comments on the Iraq war and Schroer’s profound disappointment at the refusal of Witten and others to join him in a public campaign against the war before it began. The second part of the article tells the story of Pascual Jordan, one of the founders of quantum mechanics who joined the Nazi party. Schroer’s politics are diametrically opposite to those of Jordan, but he is highly sympathetic to Jordan’s scientific point of view, from the earliest years of quantum mechanics, that it is necessary to think about quantum systems in a way which doesn’t depend on starting with a classical Lagrangian and “quantizing”.

The last of Schroer’s new articles should appear on hep-th tonight and is entitled Positivity and Integrability. It tells some of the history of the QFT group at the Free University in Berlin and has a lot of interesting things to say about reflection positivity and the Euclidean approach to quantum field theory.

Update: I haven’t heard anything at all back from the arXiv about the trackback issue, but just noticed that trackbacks to the two recent Schroer articles mentioned here have appeared. The ways of the arXiv are highly mysterious….

Update: Baez has a clarification here of his response to Rovelli.

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Two Years Later

This week is the second anniversary of this weblog, so perhaps a good moment for some reflections on what has been happening over the past two years.

In many ways, the weblog has been successful far beyond my wildest dreams. My original expectation was that there would be a handful of people with similar interests who would regularly read it, and it would be quite a success if I ended up with a couple hundred readers. I don’t have completely accurate recent statistics, but recently each day at least several thousand people are checking up to see what is going on here. This is quite gratifying, and makes the significant amount of effort and time I’ve been putting into this seem worthwhile. It has been interesting to note from looking at some other blogger’s publication records that starting an active weblog seems to correspond to starting to write many fewer papers. My one regret is that the time spent on this has definitely taken away from time that could be devoted to finishing and writing up various research projects. In the future I hope to find a better balance on this issue.

One of the main topics covered on this blog, and by far the most controversial, is the ongoing story about string theory and its dominance of theoretical high energy physics. The public perception of string theory seems to me to have changed significantly recently, as more and more science journalists have started to realize that things are not going well. Many of them have moved from a stance of uncritical acceptance of the claims of string theorists to a more skeptical and balanced view of the subject. The kind of overhyped popular string theory article that was a staple for 20 years is increasingly unlikely to be written by professional science journalists. Such things now occur most often in places like university press releases, authored by people with no experience in the subject.

I’d like to think I had something to do with this, but there are much larger forces at work. The field of string theory has suffered a remarkable intellectual collapse, one that is not just a matter of opinion, but can be quantified in various ways. For many years Michael Peskin has written up a discussion of the yearly list of top cited HEP articles. I wrote up postings discussing the 2003 and 2004 lists. By 2004 there were only two post-1999 string theory papers among the list of 50 most heavily cited (the early 2002 Berenstein et. al. PP waves paper, and the early 2003 KKLT paper), and Peskin seems to have stopped writing up a discussion of the list, possibly because there was virtually nothing new to discuss. SPIRES has not yet produced a 2005 list and I don’t know if they ever intend to, but from some data gathered at physicsforums.com it would appear that the only two string theory papers likely to have accumulated the 150 or so citations needed to make the top 50 in 2005 are exactly the same two as in 2004. The subject has come to nearly a dead stop, and that rather than the complaints of its critics is behind the sense of crisis felt by many of its practitioners.

The panel discussion at Strings 2005 in Toronto was rather remarkable. For the first time, members of the audience started to raise real questions about what was going on in the subject and the panel members had difficulty in putting a positive face on the situation. It will be interesting to see if a similar discussion occurs at Strings 2006 this summer in Beijing.

The two post 2000 papers that are widely cited reflect the two main topics that string theorists are still working on. One is AdS/CFT, which many, many people work on since it is the best thing to have come out of the string theory project. There doesn’t however seem to be much significant progress in this area. The second paper, by KKLT, is the one that really launched the whole landscape business. The fact that it is the most recent hot area of activity in string theory is something that even most string theorists find very disturbing. Over the last couple years, the original implausible hopes that something could be gotten out of the Landscape have been pretty convincingly crushed. Leading figures in the field have abandoned the Landscape and moved out into the swampland of theories that have nothing to do with the real world and may or may not be low energy limits of a string theory. It remains very unclear what the point of this is.

The most active string theory blogs are becoming ever more bizarre, with increasingly strange behavior of all sorts from Lubos Motl, and Jacques Distler following the lead of others into the swampland while firmly sticking to the idea that my criticisms of string theory are some sort of illegitimate crackpotism. While most string theorists are well aware of what bad shape the field is in and casting about for something new to do, the true believers are exhibiting something more and more approaching religious fanaticism.

Unfortunately, leading figures in particle theory show no signs of being willing to publicly address the increasingly disturbing state of the subject. Part of my problem with the arXiv is the feeling of many that I do not have the stature in the community necessary to justify being allowed to make the kind of critical comments I have been making publicly. I’m willing to agree with this point, but it remains unfortunately true that those whose responsibility it is are doing little to address the situation. The whole field of particle theory is becoming increasingly damaged by these problems, and only one aspect of this is the problem of public perceptions, which is going to get a lot worse before it gets better.

I have no idea where this story is going next. The general attitude seems to be to hunker down for the next few years, try and wait out the crisis and hope that LHC results will save everything. This doesn’t seem to me to be the right way to address the serious problems that are all too obvious right now.

Update: Some anonymous person really has too much time on their hands. But I’m honored.

Update: One or more people definitely have too much time on their hands. Besides the Not Even Wrong parody mentioned above, there’s another one, and also Cosmic Variance and Lubos Motley’s Stringy Climate Theories. This last one informs us that

Recent fake blogs have brought shame to the Internet:

(1) http://motls.blogspot.com pokes fun at Dr Lubos Motl, by posting a mixture of insane climate drivel, interspersed with attacks on theoretical physicists. I can reveal it is fake.

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News of the Multiverse

When I was reading Susskind’s book The Cosmic Landscape, I was paying close attention to the main problem with the whole multiverse/anthropic string landscape idea: is there any sort of experimental prediction that emerges from this that would justify calling it science? One thing that kind of mystified me was Susskind’s claim, in the Introduction and Chapter 12, that the “cosmic horizon” beyond which other parts of the multiverse live is like a black hole horizon and in principle information about what is beyond the horizon is accessible in the analog of Hawking radiation. This seemed to be a rather vague idea, which Susskind goes on to drop, never mentioning it in the chapter he devoted to possible experimental tests of the landscape. Since I’d never heard of anyone claiming this anywhere else, and Susskind didn’t seem himself to take it very seriously, I just ignored it.

Cosmologist G. F. R. Ellis, in a new preprint entitled On horizons and the cosmic landscape has decided to take it seriously, and show that it is wrong. Ellis’s paper is rather peculiar; I’ve never before seen an arXiv paper that argues against not another scientific paper, but some vague statements in a popular book. I haven’t tried to follow Ellis’s argument, partly because it seems rather vague itself, with not a single equation in it. Perhaps this is unavoidable, given the vagueness of Susskind’s argument that he is challenging. Anyway, at the present time, the situation seems to be that neither Susskind nor anyone else has come up with a calculation that would show how to detect information about other parts of the multiverse hidden in some sort of Hawking radiation from a cosmic horizon, and now we have an argument from Ellis that this is in principle impossible.

Some people have been giving me grief about writing blog entries with no equations, but here no one seems to have any.

If you want to hear more from Susskind about the multiverse, he’s giving the colloquium next week at MIT with title The Landscape and the Megaverse, and the abstract of this talk is:

A new paradigm for the origin of the laws of physics may (or may not) be emerging out of observational cosmology and theorists efforts to understand string theory. The ordinary 15 billion light-year universe is being replaced by a vastly bigger “megaverse” consisting of a huge number of what Guth calls “pocket universes.” If this is true then many of the Laws of Physics that we normally think of as “written in stone” will be local environmenal facts. I will explain the evidence for this controversial view, its implications, and the various views of leading physicists and cosmologists.

Susskind is also giving a talk here in New York on April 10 at the New York Academy of Sciences. The description of the talk tells us that

Several decades ago, Susskind introduced the revolutionary concept of string theory to the world of physical science. In doing so, he inspired a generation of physicists who believed that the theory would uniquely predict the properties of our universe. Now Susskind argues that the very idea of such an “elegant theory” no longer suits our understanding of the universe….

… Susskind believes that string theory, rather than reaching a dead end, has led to a vastly expanded concept of the universe, which he calls “the lanscape,” where the anthropic principle makes perfect sense.

Attending the talk would cost $20, so I think I’ll skip this one.

The last issue of the NYAS publication Update Magazine has an article by Lee Smolin on all of this entitled A Crisis in Fundamental Physics. Later this year Smolin will have a new book out, entitled “The Trouble With Physics”.

There is something I would very much like to attend, but will be out of town so will have to miss. The American Museum of Natural History each year organizes a debate in honor of Isaac Asimov. This year the topic will be Universe: One or Many?, and the blurb goes:

Join a panel of cosmologists to argue and debate the possibility that our Universe is just one of many universes that comprise the “multiverse.” This notion invokes dimensions beyond our everyday experience and draws from the leading edge of our conception of the cosmos. The presence or absence of data in support of these ideas forms a central theme for the evening.

I’m not sure who is going to argue for the presence of data in support of these ideas since I’ve never heard of any. The panelists are Michio Kaku and Andrei Linde, presumably pro-megaverse, Lawrence Krauss, who I’m guessing is on the anti-side, and Lisa Randall and Virginia Trimble, about whose views on the subject I know nothing.

Posted in Multiverse Mania | 42 Comments