News From Simons Center

The Simons Center for Geometry and Physics at Stony Brook has a new web-site, and this week their annual summer workshop got underway, talks available in very high quality video here. Luca Mazzucato, a postdoc there, has started putting together an Outreach section of the web-site, which now includes some wonderful interviews with various theorists, often covering topics well-known on this blog. The last of the interviews looks the most intriguing, it promises “the formula of love”. Unfortunately, when you try and get access to this intriguing formula, for now you find that it is password-protected…

I’ll be spending much of the next two weeks on vacation in Scotland. Blogging may be light to non-existent.

Posted in Uncategorized | 5 Comments

String Theorists Throw SUSY Under the Bus

Over the past few days the results of the 2011 LHC run have been revealed at the EPS-HEP 2011 conference in Grenoble, where a press conference today marked the beginning of the next part of the conference, featuring summary talks. For some discussion of these results see for example here, here, here, here and here. The bottom line is much stronger results ruling out supersymmetry, extra dimensions, black holes and other exotica, restriction of the possible mass range of the Higgs to about 114-150 GeV, and a tantalizingly small and not yet statistically significant excess of possible Higgs events in the mass range 120-145 GeV.

The big surprise here is that the experiments have done a fantastic job of getting these analyses of the data done at record speed. Before the LHC turn-on, estimates based on experience at the Tevatron tended to be that it would be 2012 before we saw completed analyses of a significant amount of the 2011 data. A lot of people have been working long hours and going without a summer vacation… The bottom line though is not a surprise, but rather pretty much what many people (including myself) expected. The unconvincing popular theoretical models of the last few decades have finally been confronted with experiment, which is falsifying them, to the extent that they can be falsified. It’s an inspiring example of the scientific method working as it should. The remaining mass range for the Higgs is the expected one, and, as expected, this is the hardest place to separate the Higgs from the background. If it’s really there, the data collected during the rest of this year should be enough to give a statistically significant signal. So, within a few months we should finally have an answer to the question that has been plaguing the subject for decades: “Higgs or something else?”. This is very exciting.

For more than a quarter-century, supersymmetry has been advertised as the most significant prediction of string theory. Back in 1996 Gross and Witten responded to John Horgan’s skeptical take on string theory in The End of Science with an article in the Wall Street Journal where they claimed:

There is a high probability that supersymmetry, if it plays the role physicists suspect, will be confirmed in the next decade. The existing accelerators that have a chance of doing so are the proton collider at the Department of Energy’s Fermi Lab in Batavia, Ill., and the electron collider at the European Center for Nuclear Research (CERN) in Geneva. Last year’s final run at Fermi Lab, during which the top quark was discovered, gave tantalizing hints of supersymmetry. The situation should be clarified when this machine is upgraded in 1999. (A further upgrade, which would cost the Department of Energy about $300 million, should be seriously considered.) As for the CERN electron collider, its energy is being increased by 35% in the next few months. The results could be dramatic, since electron colliders, though their energy is generally much lower than that of proton colliders, are rather thorough and swift in exploring certain phenomena.

If supersymmetry is out of reach of these existing colliders then it is very likely to be discovered at the Large Hadron Collider, which will begin operation at CERN in about a decade…

Wherever it occurs, the confirmation of supersymmetry would open up one of the golden ages of experimental physics. It could provide us with essential insights about the unification of the four major forces; that is, a theory that would describe gravity, the strong nuclear force, the weak atomic force and the electromagnetic force as varying expressions of a single phenomenon. And it would give a big boost to the development of a remarkably rich new theoretical framework known as string theory. For supersymmetry is one of the basic predications of string theory.

The next year Physics Today published Gordon Kane’s String Theory is Testable, Even Supertestable, which included a plot showing gluinos and squarks as having expected masses in the range of 200-300 GeV (the latest results rule them out in typical SUSY models up to about 1000 GeV).

Today, the most prominent active string theory bloggers have blog entries reacting to the weekend’s news. Clifford Johnson has Living in Interesting Times, where he writes:

One of those hoped for stories is called Supersymmetry, which would imply the existence of several more particles besides just the Higgs. Now, the cool thing is that the simplest models of supersymmetry could be in danger as well if we do not see something in the coming several months. Wouldn’t it be interesting if both the Standard Model Higgs and the simplest models of Supersymmetry were ruled out? (I’m not saying that they are – it’s all to soon to tell – but it is a possible outcome.)

When the LHC turned on, Lubos Motl was blogging about Why supersymmetry should be seen at the Large Hadron Collider, giving the probability of the LHC seeing SUSY as “90% or higher”. After the results of the last few days, he’s done a 180 degree turn, with a new blog entry attacking phenomenologists and arguing that the LHC results just show that HEP theorists should be doing string theory, not phenomenology:

No hep-th theorist has ever claimed or boasted that the bulk of his work had too much in common with the data produced by the next-generation collider so of course, the hep-th work isn’t really affected by the “null” results from the LHC. Many theorists and many string theorists – but not all – would feel more excited if the LHC were generating totally new phenomena and their phenomenological friends would be really thrilled. However, it’s still true that the theorists don’t care as much as the phenomenologists do.

What I really want to say is that most of the phenomenological work has been a waste of human resources and time. Instead of producing 1,000 models that could be relevant for the sub-TeV observations, those people could have just waited for a few years and let Nature speak. And it seems that Nature has spoken – and it may still speak in an ever clearer language – and so far, the answer is that the right model of these phenomena is called the Standard Model…

So I hope that instead of shifting the energy scales from 200 GeV to 1,400 GeV and continuing in random guessing, many phenomenologists will buy some string theory textbooks and begin to think about the Universe at a slightly deeper and less sensationalist level.

Update: Lubos clarifies here: he’s only throwing some SUSY models under the bus, not all of them. It’s no longer above 90%, but he still thinks there’s a 50% chance that the LHC will see supersymmetry. And all the bogus claims for “tests of string theory” are my fault, since I created a hostile environment for string theorists where they felt they had to do this kind of thing.

Update: The MasterCode Project has moved up to higher masses its “best-fit” points for SUSY now that 2011 LHC results have ruled out previous “best-fit” points, see here. Now the “best-fit” for SUSY is not even a very good fit… Tommaso Dorigo explains and comments here.

Update: In his talk concluding the conference, David Gross throws just the CMSSM under the bus, saying it is now “on life support”. He argues though that this is just one possible SUSY model, and one can’t conclude much from the death of the CMSSM. Much of his talk was an advertisement for N=4 SSYM and AdS/CFT. He’s sticking to his prediction of last year that SUSY particles will appear within 10 years, no word on when he’ll give up if the LHC continues to see nothing. Near the bottom of his list of predictions was “string theory will start to be a THEORY, with predictions”, which drew laughter from the crowd. He acknowledged that it was next to last on a list ordered by plausibility, but insisted “Some day…”

Update: Pauline Gagnon reports on what theorists are up to in response to all this:

This summer, I had the opportunity to spend a week at a theory workshop. Being the only experimentalist there, I spent plenty of time discussing what was going on in their camp. Clearly, they are not sitting idle while we are frantically searching our recently collected data for signs of new physics or the Higgs boson. On the contrary, many of them were already hard at work trying to find excuses for supersymmetry and reasons why it has not shown up yet as anticipated.

At Cosmic Variance John Conway summarizes the situation, and draws flak from Matt Strassler, who explains more here, and has a new paper out about how to evade the LHC results:

This is a key job of particle theorists; make sure all the ground gets covered by the experimentalists before they give up and move on!

Given the huge number of possibilities and parameters for how to implement SUSY, insisting that all of it gets tested by experiment will ensure that SUSY phenomenology will be with us for a very long time. Ideas like SUSY can never be completely ruled out, they can just be made so unlikely that they’re not worth people’s time anymore, and the argument over how much more unlikely the LHC results make SUSY will continue…

Posted in Favorite Old Posts, Uncategorized | 75 Comments

Results from EPS-HEP 2011

Results from the EPS-HEP 2011 conference that began today are starting to appear. These include the first results making use of most of the 2011 LHC run data. This is a factor of 30 or so more data than that from the 2010 run, which was the source of almost all previous results released by the LHC experiments. Some of the news so far:

  • ATLAS pretty much says here that there are no squarks or gluinos below 1 TeV (see page 9). Comparing to analyses of the regions considered mostly likely (see for example here, figure 7) pre-LHC, significantly more than half of the region in which supersymmetry was supposed to appear is now ruled out. Another factor of 10 or so in data should come in during the rest of the 2011/2012 run, which should allow limits to be pushed a bit higher. At this point, it looks like SUSY is on its way out. It will be interesting to see if die-hards insist that the factor of 2 in energy at the next (starting in 2014-5) run will make a difference.
  • For results relevant to strings, black holes, extra dimensions, split supersymmetry, and other exotica, CMS has them appearing here, for ATLAS they’re here. No such objects are being seen, with limits being pushed up dramatically from those coming from the 2010 data. Again, it’s going to be very hard to argue that there’s a significant probability that such things will be seen in the rest of this run, or even later ones at full energy.
  • CDF results available here say no Higgs between 156 and 175 GeV, D0 exclusion (here) looks like it covers about 160-170 GeV. Fermilab has issued a press release about this, advertising the release of the combined numbers at a July 27 talk. This should also include low mass searches which might provide exclusion above the 114 GeV LEP limit. The press release mentions a “most likely” range of 114-137 GeV for the Higgs mass, and links to earlier Tevatron exclusion limits, but I suspect the 137 number comes from a different source, not a Tevatron direct search result.
  • CMS and ATLAS results on the Higgs are to be announced tomorrow afternoon (an early version of the CMS results leaked here). A combination of results from the two camps will be done after the conference, planned to be announced at Lepton Photon 2011 in late August, although a rough guess as to what that will look like should be available just from seeing the two independent results.
  • Philip Gibbs is keeping a close eye on this at viXra log.
  • Update: Tommaso Dorigo has some more news here: CMS is not seeing the SM violating forward-backward top pair production asymmetry seen at the Tevatron (more about it here).

    Update: ATLAS results on the Higgs are 95% exclusion 155-190 GeV and 295-450 GeV. They see a 2.8 sigma excess of events in the 120-140 GeV range.

    Update: I just noticed that Matt Strassler now has a blog and is blogging from Grenoble.

    Update: Matt Strassler reports from the CMS Higgs combination talk that they exclude 145-480 GeV at the 90% confidence level. Some excess 120-145 GeV, smaller than ATLAS.

    So, in summary, it looks like the LHC + Tevatron have pretty much excluded a high mass Higgs, narrowed the possible mass range down to 114-150 GeV or so. No evidence at all of anything but the SM. The big story of the next few months will be to watch and see if a Higgs signal emerges in the last non-excluded region. Or not….

    Posted in Experimental HEP News | 66 Comments

    First International Spring School on Particle Physics and Philosophy

    From an article in the CERN Courier I recently learned about a program that brought together physicists and philosophers of science earlier this year around the topic of philosophy and particle physics. This was the First International Spring School on Particle Physics and Philosophy held last March in Germany, and I gather that there are plans for a second one in two years.

    Unlike many “physics and philosophy” efforts, which often revolve around rather sterile debates, the central topics of this school were very real issues currently at the heart of fundamental physics. In particular, the questions of gauge symmetry and the Higgs mechanism played an appropriately large role, with the experimental situation an important part of the discussion. In a few days (at EPS-HEP2011) we’re likely to hear the first significant results about the Higgs coming from the LHC. This will mark the beginning of a new era likely lasting for a while which will be dominated by news coming from the LHC on this topic, and a major re-orientation of theoretical research in response. New ideas will hopefully emerge, and models that have held theorists attention for decades will likely fall by the way-side (in his talk on supersymmetry, Michael Kraemer expresses the opinion that if it doesn’t show up in the 2011/12 run, it’s all over for weak scale supersymmetry).

    The speaker’s slides for the conference unfortunately aren’t now publicly available since the organizers haven’t gotten permission from their authors, but perhaps they’ll be made available at some point, somewhere in some form.

    Posted in Uncategorized | 1 Comment

    Questions About the Multiverse

    The August issue of Scientific American has the multiverse on the cover, with a skeptical feature article on the topic by George F. R. Ellis, Does the Multiverse Really Exist?, which argues that heavily promoted multiverse research isn’t really testable and can’t explain much of anything. Vilenkin and Tegmark respond with The Case for Parallel Universes.

    I just took a look at some of the earliest postings on this blog about the multiverse from as far back as seven years ago (e.g. here and here). Things haven’t changed at all. One might be tempted to criticize Scientific American for keeping this alive, but they just reflect the fact that this pseudo-science continues to have significant influence at the highest levels of the physics establishment. The Perimeter Institute recently ran a conference on Challenges for Early Universe Cosmology, which was dominated by multiverse mania. Unlike the case at SciAm, multiverse skepticism didn’t get prominent play at Perimeter.

    Update: For those of you who just can’t get enough multiverse, the Sci-Fi film Another Earth opens Friday. Click on “Parallel Worlds” for an explanation of “the theoretical physics behind the film.”

    Posted in Multiverse Mania | 29 Comments

    This Week’s Leak

    Everyone in the HEP community is breathlessly awaiting the release of results from the 2011 LHC run, expected to come at the EPS-HEP 2011 conference in Grenoble starting July 21. A public press conference has been announced for July 25. Presumably the new results will further tighten limits on supersymmetric particles, extra-dimensional models and other exotica, but the real excitement surrounds the question of what the news about the Higgs will be. The latest LHC data should finally allow competition on this front with the Tevatron.

    Philip Gibbs at viXra log has posted here what looks like the bottom line for CMS. They are not yet able to exclude a Higgs at lower masses, including the range where the Tevatron has an exclusion region, but are able to exclude (at 95% confidence level) a SM Higgs in a higher mass region (about 275-425 GeV). This sort of result is not quite what it looks like, since precision electroweak measurements already rule out such a SM Higgs, and recall that the Higgs self-coupling increases with Higgs mass, meaning that one is entering into a region where one is not sure that perturbation theory applies. If the Higgs is not a weakly coupled field, life becomes much more complicated.

    The source of the plot is variously described as “shown [July 8] at a seminar which as far as I know was public”, from “a public part of the CERN repository”, and “not yet public but was made accessible on a Fermilab site”.

    ATLAS, the competition for CMS, presumably has a similar plot up its sleeve just about ready for release at EPS-HEP 2011. Once the two experiments have made public their independent results at this conference, they intend to immediately get to work producing a combined plot, with goal of releasing it at Lepton-Photon 2011, which will take place in Mumbai August 22-27.

    Posted in Experimental HEP News | 11 Comments

    Higher Speculations

    Some commenters here a while ago made the excellent suggestion that I should take a look at a book published this spring, Helge Kragh’s Higher Speculations: Grand Theories and Failed Revolutions in Physics and Cosmology. I’ve always wondered what historians of science would make of the increasing dominance of research in fundamental physics by unsuccessful highly speculative research programs, and have also often wondered if there are any relevant historical parallels to this situation. This book does a great job of addressing those questions, and it’s pretty much unique in doing so.

    Kragh spends the first half of the book on history, the second half on currently popular (of varying degrees of popularity…) topics including varying constants of nature, cyclic cosmological models, anthropics, the multiverse and string theory. He doesn’t explicitly make any attempt to evaluate how successful these current efforts are, but they are discussed in the context of previous failures and parallels are drawn. I didn’t know much about the history of “vortex theory” in nineteenth century physics, and this turns out to be possibly the best historical parallel to the story of string theory. Here’s an extract from the extensive and enlightening discussion of that bit of scientific history:

    From its beginnings in 1867 to its end at about 1900, the [vortex] theory was frequently justified on methodological and aesthetic grounds rather than its ability to explain and predict physical phenomena. In an 1883 review of ether physics, Lodge described the vortex atom theory as ‘beautiful’ and ‘the simplest conception of the material universe which has yet occurred to man’. He added, just as Michelson would do twenty years later, that it was a ‘theory about which one many almost dare to say that it deserves to be true’.

    The audience listening to William Hicks’ address at the 1895 meeting of the British Association for the Advancement of Science would not suspect that the vortex theory of atoms was dying. Without paying much attention to the theory’s disappointing record with regard to empirical physics, Hicks reviewed in an optimistic tone the theory of various vortex objects such as rings, spheres and sponges. He realized that relatively little progress had been made over the years in the mathematical development of the theory, and that progress was even more lacking in the theory’s contact with experiments. However, these problems he deftly turned into a defence of the theory, for the undeveloped mathematical framework meant that the theory could not be rigorously tested. Hicks was convinced that the road towards progress would be to develop still more advanced mathematical models. The vortex theory, he said ‘is at present a subject in which the mathematicians must lead the attack’.

    Surely many physicists of the day would have described vortex theory as “our best hope for a unified theory”, and one wonders if any of them thought of it as a “part of 20th century physics that fell by chance into the 19th century.”

    Kragh’s book does something really remarkable and valuable: it starts to put some aspects of the last 30 years of fundamental physical theory into a plausible historical context. The future of the subject remains a mystery though, but one can hope that on the vortex theory timeline we’re about to hit the analog of 1900, with successful rather than failed revolutions ahead of us.

    Posted in Book Reviews | 29 Comments

    Local Blogs

    There are now several excellent blogs somehow related to mathematics being run by local people, including a couple new ones, so I thought it would be a good idea to mention these here:

  • Andrew Gelman of the Columbia Statistics department runs the very active Statistical Modeling, Causal Inference and Social Science blog, which features a wealth of all sorts of different topics, from technical ones about statistics, to social science applications.
  • Emanuel Derman, who started his career as an HEP theorist, was one of the early migrants to the financial industry, and now is teaching here at Columbia in the Financial Engineering program, has a new blog at Reuters. His last book was the very interesting My Life as a Quant, this fall he has a new one coming out entitled Models Behaving Badly.
  • Cathy O’Neil, a mathematician who taught here for a while before changing career path, starting with a job at the hedge fund D.E. Shaw, has recently started the wonderful Mathbabe blog.
  • I think I mentioned this already, but one of my colleagues, Johan de Jong (Cathy’s husband) also has a blog, the Stacks Project Blog. If your metric to evaluate blogs is something like “quality of information” x “degree of abstraction and technicality”, his has to be the best blog in the world.
  • If you have comments on these blogs, I encourage you to post them there rather than here. I would be interested in hearing about any other local math/physics related blogs that I’m unaware of.

    Update: Another local math/physics-related blog has made its debut today, Davide Castelvecchi’s Degrees of Freedom. It’s part of a network of new blogs being launched today by Scientific American, which is based here in New York.

    Posted in Uncategorized | 3 Comments

    Strings 2011

    Strings 2011 started today in Uppsala, with attendance quite a bit lower than in the past (259 registered participants, versus 500 or so at some of the past such conferences). One reason for this may be the high conference cost (discussed here), another may be that excellent video of the talks is available, so why bother traveling to Uppsala?

    The opening talk was by David Gross, who tried to address the question “Where do we stand?” for string theory. He claimed the field is “extremely healthy”, “vibrant and exciting”, “making enormous progress in a variety of areas'”, with “stupendous progress” in N=4 planar SYM. At the same time, he acknowledged that it was “very sobering” that string theory was 43 years old.

    In the past, Strings XXXX conferences often featured a call for progress towards making predictions that could be tested at the LHC. With LHC data now coming in, Gross acknowledged that this had been a failure: there are no string theory LHC predictions. He put a positive spin on this by noting that the lack of any BSM signal at the LHC so far is not a worry for string theory, since string theory can’t be tested at the LHC. As for the lack of any supersymmetry signal so far, he says that “I personally am not yet worried”, while acknowledging that some people are becoming pessimistic. While no SUSY is not a worry for string theory, he feels that “it would be awfully nice for string theory if SUSY appeared”. Supposedly he has made bets on SUSY at the LHC, but he gave no indication of when he would start to worry (or pay off the bets) if SUSY continues to not be there.

    The main area of progress he sees is the usual gauge-gravity duality that has dominated the field for years, together with progress on N=4 SYM amplitudes. He sees Verlinde’s “Entropic Gravity” as an “exciting development I find enormously interesting”. Evidently later this week Verlinde will discuss his latest ideas about this which supposedly include an explanation of dark energy and dark matter.

    Gross went over quickly the questions about string theory he first raised in a similar talk 26 years ago, which mostly remain unanswered, including the basic one of “What is String Theory?”. The additional questions raised by attempts to understand the emergence of spacetime in a deSitter background were one factor that inspired him to end with the quote that:

    The most important product of knowledge is ignorance.

    To which he added “After 43 years of string theory , it would be nice to have some answers.”

    Surprisingly, not a word from Gross about anthropics or the multiverse. I assume he’s still an opponent, but perhaps feels that there’s no point in beating a dying horse. Susskind isn’t there and oddly, the only multiverse-related talks are from the two speakers brought in to do public lectures (Brian Greene and Andrei Linde, Hawking’s health has kept him from a planned appearance). So the multiverse is a huge part of the public profile of the conference, but pretty well suppressed at the scientific sections. Also pretty well suppressed is “string phenomenology”, or any attempt to use string theory to do unification. Out of 35 or so talks I see only a couple related to this, which is still the main advertised goal of string theory.

    I’m looking forward to the talks of Witten, Gaiotto and Gukov, which I hope will provide a gentle introduction to their intriguing recent long papers on the arXiv. To the extent I find time to watch talks this week and have any comments about them, I’ll try and add updates to this posting.

    Update: After looking at most of the talks online, the most remarkable thing about Strings 2011 is how little there is about string theory. One of the speakers, Chris Hull, started off his talk with the comment:

    At lunch today one of the organizers was observing that my talk was unusual in being one of the few talks actually about string theory. It would be interesting to speculate on what that might mean about the state of the field, but it would be invidious to do so here.

    One of the main themes of the conference so far has been study of mathematically interesting supersymmetric QFTs in 3,4,5 and 6 dimensions, often obtained from a specific class of 6d theories, which themselves remain poorly understood (what is known about them was reviewed by Greg Moore). Witten gave an overview of his work relating Khovanov homology and QFT, which involves a chain of various 6d, 5d, 4d, 3d and 2d QFTs. Nati Seiberg reviewed the technology used for constructing these theories on various special backgrounds, noting that this was all about “rigid” SUSY theories, with supergravity and string theory making no appearance.

    Update: The videos of the talks are now all up. I took a look at the Verlinde talk, and the ideas he is putting forward still strike me as pretty much empty of any significant content. In Jeff Harvey’s summary of the conference, he notes that many people have remarked that there hasn’t been much string theory at the conference. About the landscape, his comment is that “personally I think it’s unlikely to be possible to do science this way.” He describes the situation of string theory unification as like the Monty Python parrot “No, he’s not dead, he’s resting.” while expressing some hope that a miracle will occur at the LHC or in the study of string vacua, reviving the parrot.

    That the summary speaker at the main conference for a field would compare the state of the main public motivation for the field as similar to that of the parrot in the Monty Python sketch is pretty remarkable. In the sketch, the whole joke is the parrot’s seller’s unwillingness, no matter what, to admit that what he was selling was a dead parrot. It’s a good analogy, but surprising that Harvey would use it.

    Posted in Strings 2XXX | 33 Comments

    Bad Boys of Physics

    Scientific American is running a Bad Boy of Physics story (also see here) in the July issue, about Lenny Susskind. Here’s the “nut graph”:

    Physicists seeking to understand the deepest levels of reality now work within a framework largely of Susskind’s making. But a funny thing has happened along the way. Susskind now wonders whether physicists can understand reality.

    In the interview, Susskind explains that he was a bad boy as a youth, but “just so much better than anybody else, including the professor.” In recent years he has been the most prominent promoter of the string theory multiverse, and now claims that this pseudo-science convincingly dominates the field (SciAm seems to agree…), with the situation just like in the early days of QCD:

    A large fraction of the physics community has abandoned trying to explain our world as unique, as mathematically the only possible world. Right now the multiverse is the only game in town. Not everybody is working on it, but there is no coherent, sharp argument against it.

    In 1974 I had an interesting experience about how scientific consensus forms. People were working on the as yet untested theory of hadrons [subatomic particles such as protons and neutrons], which is called quantum chromodynamics, or QCD. At a physics conference I asked, “You people, I want to know your belief about the probability that QCD is the right theory of hadrons.” I took a poll. Nobody gave it more than 5 percent. Then I asked, “What are you working on?” QCD, QCD, QCD. They were all working on QCD. The consensus was formed, but for some odd reason, people wanted to show their skeptical side. They wanted to be hard-nosed. There’s an element of the same thing around the multiverse idea. A lot of physicists don’t want to simply fess up and say, “Look, we don’t know any other alternative.”

    Susskind had a distinguished career as a theorist for many years, and has managed to do quite well with his multiverse campaign for quite a while now. There has been a lot of coverage of this story on this blog, for some high points, see here, here, here and here.

    In other news, the media has been full of stories about another physicist who has been a bad boy, David Flory. He started his career as an HEP theorist back in the late 1960s, as a student at Yeshiva University, and collaborator there with Susskind. Like a huge number of other people, he got his permanent academic job in 1969, and has been at Fairleigh Dickinson University ever since.

    Posted in Multiverse Mania | 44 Comments