String Theory: Not Dead Yet

By Sean Carroll | May 24, 2007 12:25 pm

I know that everyone is waiting breathlessly for more opinionmongering about the String Wars. After Joe’s guest post, filled with physics and insight and all that stuff, it’s time for a punchy little polemic.

The folks at New Scientist noticed a comment of mine to the effect that, contrary to the impression one might get from the popular media, most string theorists were going about their research basically as they always have, solving equations and writing papers — curious about, but undeterred by, the surrounding furor. This surprised them, as their readers seemed to be of the opinion that string theory was “dead and buried” (actual quote). So they asked me to write a short op-ed piece, which appeared last week, and which they’ve allowed me to reprint here. Nothing deep about the substance of what physicists should be thinking about; just pointing out that string theory is still alive and kicking.

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A philandering string theorist is caught by his wife with another woman. “But darling,” he pleads, “I can explain everything!”

I didn’t invent the joke; it appeared in the satirical magazine The Onion. The amazing thing is that people got it! Apparently the person on the street is sufficiently caught up with current thinking in high-energy physics to know that string theory — the idea that the ultimate building blocks of nature are quantized loops of string, not pointlike elementary particles — is our leading candidate for a theory that would, indeed, “explain everything.”

But, despite capturing the popular imagination, string theory has fallen on hard times lately, at least in the public-relations arena. We read articles such as “Hanging on by a Thread” (USA Today), “Theorists snap over string pieces” (Nature) and “The Unraveling of String Theory” (Time). Much of the attention given to string skepticism can be traced to books by Lee Smolin and Peter Woit that appeared last year. But those aren’t the only sources; increasingly, professional physicists as well as fearless pundits outside the academy are ready to pronounce the failure of string theory’s ambitious project of uniting all of the forces of nature.

So is the jig up? Is string theory in its last throes? No, not at all. At least, not if we measure the health of the field by more strictly academic criteria. String theorists are still being hired by universities in substantial numbers; new graduate students are still flocking to string theory to do their Ph.D. work; and, most importantly, the theory continues to be our most promising idea for bridging the gap between quantum mechanics and gravity.

String theory is unique; never has so much effort been devoted to exploring an idea in physics without the benefit of any direct experimental tests. One important reason for this has been the absence of experimental surprises in all of high-energy physics; for thirty years, the Standard Model of particle physics has resisted all challenges. But even that would not have been enough to coax theorists into thinking about the famously difficult problem of quantum gravity if string theory hadn’t come along to present a surprisingly promising approach.

It was realized in the 1970′s that string theory was a theory of quantum gravity, whether we liked it or not — certain vibrating strings have the right properties to represent gravitons, carriers of the gravitational force. Already, this feature distinguished string theory from other approaches; whereas head-on assaults on quantum gravity tended to run into dead ends, here was a quantum theory that insisted on gravity!

In the 1980′s the triumph of the Standard Model became complete, and work by Michael Green and John Schwarz demonstrated that string theory was a consistent framework. Physicists who would never have though of devoting themselves to quantum gravity quickly dived into string theory. It was a heady time, when promises to compute the mass of the electron any day now were thrown back and forth. True, there were five different versions of string theory, and they all lived in ten dimensions. The trick would be to find the right way to compactify those extra dimensions down to the four we know and love, and the connection to observation would be established.

That didn’t happen, but the 1990′s were nevertheless a boom time. It was realized that those five versions of the theory were different manifestations of a single underlying structure, M-theory. Tools were developed, in certain special circumstances, to tackle a famous problem introduced by Stephen Hawking in the 1970′s — calculating the entropy of black holes. Amazingly, string theory gave precisely the right answer. More and more people became convinced that there must be something right about this theory, even if we didn’t understand it very well, and even if connection to experiments remained elusive.

Since 2000, progress has slowed. In the mid-90′s it seemed as if there was a revolution every month, and — perhaps unsurprisingly — that’s no longer the case. Instead of finding a unique way to go from ten dimensions down to four, current ideas suggest that we may be faced with 10500 or more possibilities, which is pretty non-unique. It might be — maybe — that only a tiny number of those possibilities are anywhere close to the world we observe, so that there are still concrete predictions to be made. We don’t know, and it may be wishful thinking.

The truth remains — the miracles that got people excited about string theory in the first place haven’t gone away. The biggest obstacle to progress is that we don’t understand string theory very well; it’s a collection of bits and pieces that show tantalizing promise, but don’t yet fit together into a coherent whole. But it is a theory of quantum gravity, it is compatible with everything we know about particle physics, and it continues to provide startling new ways to think about space and time.

Meanwhile, spinoffs from string theory continue to proliferate. Ideas about higher-dimensional branes have re-invigorated model-building in more conventional particle physics. The theory has provided numerous deep insights into pure mathematics. Cosmologists thinking about the early universe increasingly turn to ideas from string theory. And a promising new approach has connected string theory to the dynamics of the quark-gluon plasma observed at particle accelerators.

Ultimately, of course, string theory must make contact with data in order to remain relevant and interesting. But profound ideas don’t come with expiration dates; that contact might come next year, ten years from now, or a century from now. In the meantime, the relative importance of string theory within the high-energy physics community is bound to take a hit, as results from the Large Hadron Collider promise to bring us firmly beyond the Standard Model and present theorists with new experimental puzzles to solve. A resurgent interest in more phenomenological particle physics is already easy to discern in hiring patterns and graduate-student interests.

But string theory isn’t going to disappear. Gravity exists, and quantum mechanics exists, and the two are going to have to be reconciled. Ambitious theoretical physicists will continue to pursue string theory, at least until an even better idea comes along — and even then, the odds are good that something stringy will be part of the ultimate story.

CATEGORIZED UNDER: Science
  • http://www.scienceblogs.com/interactions Rob Knop

    I’m just an ignorant telescope-monkey, so here’s a question I have that may be facile:

    I hear this “string theory demands the graviton” thing a lot, but the only explanation I’ve seen is that it predicts a spin-2 particle.

    Is there more to it than that? If not, why are we so sure that this must be the graviton? After all, you can find spin-2 composite particles that don’t couple to the curvature of spacetime in particularly special way. Is there something about a fundamental spin-2 particle that requires it to be the graviton? Or is there more to it than that?

    I also had the impression that coupling to spacetime curvature wasn’t something that was really worked out yet in string theory; is this wrong?

    -Rob

  • Aaron Bergman

    A massless spin 2 particle is pretty much required to be a graviton by some results that go back to Feynman, I think. In addition, the Weinberg-Witten theorem tells you that a massless spin 2 particle can’t be composite.

    One can also look at the effect of a coherent state of these spin two particles and see how they modify the action. In fact, they exactly modify the metric as one expects. Finally, one can ask about the backgrounds on which one can do string perturbation theory. These backgrounds turn out to be precisely those which satisfy Einstein’s equations + matter + corrections. Thus, string perturbation theory satisfies every test one can think of (or at least that I can think of) to be the perturbation theory for a theory of quantum gravity.

  • David B.

    Dear Rob:

    Just to be more precise than Aaron, masless spin two particles have fewer degrees of freedom than massive ones. This means that the extra degrees of freedom that could have beeen there have been removed by a (gauge) symmetry. This in turns implies that the masless spin two particle has to couple to a conserved current of the right spin. The only option here is the stress energy tensor, so one finds that these particles have to be interpreted as gravity.

    This is very similar to what happens to the photon: with a spin one particle, you reproduce electromagnetism and Maxwell’s equations instead, and the conserved current is the electromagnetic current. If you have a lot of different spin one particles you might get a nonabelian gauge theory.

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  • George Musser

    Is there a nontechnical, intuitive explanation why the theory demands a spin-2 particle?
    George

  • Ben L

    Someday, in a development that is possibly be more important than quantizing gravity, someone is going to solve the problem of print news sources rendering 10^500 as 10500. I suspect this would be counted as a major success by essentially every scientist in every discipline.

  • Moshe

    Rob, in addition to all the excellent reasons why a massless spin 2 particle must be the graviton, there are also explicit calculations demonstrating that forgone conclusion, namely that the effective action of string theory is that of Einstein gravity coupled to matter (with known small corrections). I think that is what you meant by “coupling to spacetime curvature”.

  • http://blogs.discovermagazine.com/cosmicvariance/sean/ Sean

    Ben, that was my fault — a transcription error.

    George, it’s just a matter of how strings vibrate. See Slide 21 of this talk.

  • fh

    A tiny question wrt to the claim that it’s gravity: if the effective action is GR + matter the original action must include nonlocal effects with respect to the background metric as distances spacelike wrt the background metric can turn spacelike with respect to the physical metric in the effective action, right?
    Yet String Theory supposedly insists on Lorentz invariance, correct? And a Lorentz invariant causal theory can’t have non locality, correct?

    So how is this done in String Theory?

  • Aaron Bergman

    You might find this discussion helpful, particularly the referenced posts by Steve Carlip.

  • Gina

    Dear Sean

    You wrote, some time ago:

    “I have a long-percolating post that I hope to finish soon (when everything else is finished!) on `Why String Theory Must Be Right.’ ”

    Is this it with a slightly different title? (If so, congratulations for finishing everything else!)

  • http://blogs.discovermagazine.com/cosmicvariance/sean/ Sean

    No, this wasn’t it! The hypothetical post will be filled with physics arguments. If it ever happens; I have many long-percolating posts.

  • http://theeternaluniverse.blogspot.com Joseph Smidt

    Great post. I’m all for an increase in phenomenological particle physics.

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  • fh

    Thanks Aaron, I’ll go and have a look.

  • George Musser

    George, it’s just a matter of how strings vibrate.

    There’s no nontechnical explanation that can take the layperson one level deeper? Do strings oscillate in all possible ways, producing particles of all possible spins (including spin > 2)? If not, what effects screen out the untoward spins?

    George

  • http://blogs.discovermagazine.com/cosmicvariance/sean/ Sean

    I’m not the one to ask. Strings do vibrate in all possible ways, but the different vibrational modes are associated with different energies, and therefore different masses; it’s the fact that you have a massless spin-two mode that gives you a graviton. But I don’t know a layperson’s explanation for why the spin-two mode is massless.

  • J

    I do not understand why some people hate string theory so much, with some rather stupid fights with string theorists. Why?

  • http://backreaction.blogspot.com/ B

    Hi Rob #1:
    I was about to say roughly the same as David (#3). The spin 2 particle can only couple to the energy-momentum tensor – as gravity does.

    My related question to the experts: does that spin 2 particle appear in the volume element?

    Hi Sean,
    nice piece. Here’s my prediction for the next twist in this story: string theory is becoming increasingly attractive for the ‘outsiders’ and ‘rebels’ who like to see themselves as those ‘independent thinkers’ that ‘don’t fit into the system’ – right? Isn’t it ironic…

    btw,

    But it is a theory of quantum gravity [...]

    Thanks for a careful a instead of the

    Best,

    B.

  • http://www.sunclipse.org Blake Stacey

    Particles of higher spin are, IIRC, given by string states excited to higher modes (i.e., with more creation operators acting on their ground state). Because the square of the mass scales linearly with the level of excitation, the states beyond the graviton are heavier and therefore harder (perhaps impossible) to detect.

    Other massless states, produced by strings vibrating “just as strongly” but in a slightly different way, give you more exotic fields: Kalb-Ramond tensors and dilaton scalars. These are also massless but do not behave like gravity. The Kalb-Ramond field is a kind of one-dimension-up generalization of electromagnetism, and the dilaton mediates how strongly strings couple to one another.

  • http://divergentboundary.blogspot.com Khurram

    In order for string theory to remain a viable theory, is it true that the existence of super-symmetric particles be a necessary but not sufficient condition?
    If they do not find them in the LHC in a few years, will this send string theorists to the drawing board or are there modifications to M-Theory that circumvent the need for supersymmetry?

  • Moody834

    Sean,

    Forgive me for popping up with a question perhaps only tangentially related to the subject at hand, but as a layperson only just now reading Susskind’s The Cosmic Landscape, I couldn’t think of a better place to ask the following question re Feynman’s Two-Slit experiment: if a photon is a particle that behaves like a wave (as per the experiment with single photons producing the interference pattern), could it be that the waveform is inherent in the (a?) brane and the photon is simply following it when two possible avenues are presented?

    Please forgive my ignorance if it is too readily apparent here. I am utterly fascinated by quantum mechanics and relativity. Thank you in advance for your time and patience.

  • http://blogs.discovermagazine.com/cosmicvariance/sean/ Sean

    Moody, I’m afraid I just don’t know what that means. When it’s not being observed, the electron really is described as a wave, not a particle; we don’t need any additional explanation above and beyond that. Quantum mechanics works really well even without branes and extra dimensions!

    Khurram, string theory tends to predict supersymmetry, but not necessarily at energies accessible to the LHC. If the LHC discovers supersymmetry, string theorists will be happy, but if it doesn’t there’s no reason to give up on string theory — the superpartners might just be too heavy.

  • Gordon Wilson

    I like this Monty Python clip better–describing the LQG whine “He’s repressing me”.
    http://www.youtube.com/watch?v=5Xd_zkMEgkI

  • Chase

    Sean wrote:

    One important reason for this has been the absence of experimental surprises in all of high-energy physics; for thirty years, the Standard Model of particle physics has resisted all challenges.

    Why does the discovery of neutrino oscillation not count? Because it can be accomodated by changes to the SM? Or is not considered a “high-energy” surprise?

  • Paul Valletta

    If I fall to earth according to basic Newton, gravity pushes me as well as pulls me. The Graviton propegator must, in stringtheory at least, have two counter acting comprable modes of action, one positive and one negative?

    Question: can I “push” two particle’s into a collision without the Graviton?

  • http://nige.wordpress.com/ nigel

    Paul: the best statement of why you need spin-2 gravitons to give an always-attractive force is in chapter I.5, ‘Coulomb and Newton: Repulsion and Attraction,’ in Professor Zee’s book Quantum Field Theory in a Nutshell (Princeton University Press, 2003), pages 30-6. Zee uses an approximation due to Sidney Coleman, where you have to work through the theory assuming that the photon has a real mass m, to make the theory work, but at the end you set m = 0. (If you assume from the beginning that m = 0, the simple calculations don’t work, so you then need to work with gauge invariance.)

    Zee starts with a Langrangian for Maxwell’s equations, adds terms for the assumed mass of the photon, then writes down the Feynman path integral, which is {integral} DAe^{iS(A)} where S(A) is the action, S(A) = {integral} (d^4)xL, where L is the Lagrangian based on Maxwell’s equations for the spin-1 photon (plus, as mentioned, terms for the photon having mass, to keep it relatively simple and avoid including gauge invariance). Evaluating the effective action shows that the potential energy between two similar charge densities is always positive, hence it is proved that the spin-1 gauge boson-mediated electromagnetic force between similar charges is always repulsive. So it works.

    A massless spin-1 boson has only two degrees of freedom for spinning, because in one dimension it is propagating at velocity c and is thus ‘frozen’ in that direction of propagation. Hence, a massless spin-1 boson has two polarizations (electric field and magnetic field). A massive spin-1 boson, however, can spin in three dimensions and so has three polarizations.

    Moving to quantum gravity, a spin-2 graviton will have 22 + 1 = 5 polarizations. Writing down a 5 component tensor to represent the gravitational Lagrangian, the same treatment for a spin-2 graviton then yields the result that the potential energy between two lumps of positive energy density (mass is always positive) is always negative, hence masses always attract each other.

    This is clearly a ‘not even wrong’ theory of gravity because it hasn’t been validated; it is one way gravity could work and the maths certainly works but there are other possibilities that might be easier to test.

  • http://math.ucr.edu/home/baez/ John Baez

    Aaron Bergman wrote:

    A massless spin 2 particle is pretty much required to be a graviton by some results that go back to Feynman, I think.

    Hmm. That sounds like a “folk theorem”: a theorem without assumptions, proof or even a precise statement.

    Whatever these results are, they need to have extra assumptions. There’s a perfectly consistent quantum field theory of a noninteracting massive spin-2 particle on good old flat Minkowski spacetime, and this particle ain’t no graviton.

    Okay, you say: that’s a noninteracting spin-2 particle, one we’d never be able to detect! Maybe any interacting one has to be a graviton?

    Well, you can write down lots of ways a spin-2 particle can interact with other fields. Most of these have nothing to do with gravity. A graviton has got to interact with every other field — and in a very specific way.

    Of course, most of these ways give disgusting quantum field theories that probably don’t make sense: they’re nonrenormalizable.

    But, so is gravity!

    So, it would be interesting to look at the results you’re talking about, and see what they actually say.

    Maybe the Einstein-Hilbert action is the “least nonrenormalizable” way for a spin-2 particle to interact with other particles… whatever that means?

  • Moshe

    John, there are two independent statements, both rely crucially on the masslessness of the spin 2 particle, there are no similar restrictions on theories of massive particles. One of the statements is the Weinberg-Witten theorem, the other is the statement that starting with linearized gravity around flat space, one can derive the complete non-linear Einstein-Hilbert action based on a few simple assumptions. I believe this was done first in Feynman’s lectures on gravitation, and it is also derived in Weinberg’s book.

    In any event, those are not folk theorems- they have well defined assumptions and conclusions, and by now a whole slew of known exceptions.

  • Elliot

    alright. really dumb layman’s question. How can a particle be massless. This question has bothered me for about 40 years now. Just as strings got us away from pointlike particles, is it possible that there are no massless particles as well. If a particle has energy doesn’t it have mass? I know … the photon … can’t have mass because it travels at c.

    does anyone else see the idea of a massless particle as a conceptual problem?

    e.

  • fh

    I don’t have the book here, but I seem to remember that Weinberg actually gives some arguments why a spin 2 particle has to interact ala the equivalence principle in his QFT books.

  • http://blogs.discovermagazine.com/cosmicvariance/sean/ Sean

    Elliot, you should think of “mass” as representing “the amount of energy an object has when it is at rest.” Massless particles are simply unable to ever be at rest. They can have energy — and they do — but their rest energy is zero.

  • http://blogs.discovermagazine.com/cosmicvariance/sean/ Sean

    Chase (25)– neutrino oscillations were a fantastic discovery, but not all that surprising, when you get right down to it. They don’t give us as much help as we would like in going beyond the Standard Model.

  • http://math.ucr.edu/home/baez/ John Baez

    B writes:

    The spin 2 particle can only couple to the energy-momentum tensor – as gravity does.

    Oh? Why?

  • http://blogs.discovermagazine.com/cosmicvariance/sean/ Sean

    Not that I’ve ever gone through this in detail, but — the point is that the massless spin-2 field is described by a symmetric two-index tensor with a certain gauge symmetry. (The symmetry that, once you’ve interpreted the tensor as a metric perturbation, will just be infinitesimal diffeomorphisms.) So its source must be a symmetric divergenceless two-index tensor. Basically you don’t have that many of them lying around, although I don’t know the rigorous statement to that effect.

  • http://backreaction.blogspot.com/ B

    Hi John,
    well, I don’t know much about string theory, but I was thinking along classical GR lines it needs to couple to a symmetric 2nd rank tensor (the anti-symmetric part wouldn’t couple), and that tensor should be gauge invariant? You are of course right that one could in principle have complicated higher order stuff.
    Best, B.

  • http://backreaction.blogspot.com/ B

    ah, I see, Sean said it better… I am still confused though by the volume element. The spin-2 field in string theory, does it make an appearance in the volume element?

  • Moshe

    Regarding the relation to string theory, the statement is not that there is massless spin 2 particle and thus we conclude that string theory has gravity. Rather, the statement is that we find numerous properties of gravity coming out of various calculations, but we should not be overly impressed because we know they are all a consequence of having spin 2 massless particle.

    In particular one can derive the Einstein-Hilbert action, including the volume element, by demanding Weyl invariance in general backgrounds.

  • Moshe

    For anyone interested, there is a pair of relevant papers by Weinberg:

    1. Photons and Gravitons in S-Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass (Phys.Rev.135:B1049-B1056,1964).

    2.Photons and gravitons in perturbation theory: Derivation of Maxwell’s and Einstein’s equations (Phys.Rev.138:B988-B1002,1965).

    where the precise assumptions and the formulation of the results are spelled out in great detail. This is probably more relevant to the present discussion than the Weinberg-Witten theorem.

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  • http://arunsmusings.blogspot.com Arun

    Most of the other massless string modes are going to acquire a mass in a theory that goes beyond string perturbation theory – if the theory has any connection to reality. Presumably the spin-2 mode is protected from getting a mass in all those circumstances.

  • Doug

    In reviewing your talk ‘Einstein’s Legacy’ referenced in comment #8, consider this play on words:

    What is the weave of the fabric of the cosmos [ripples ... spacetime in your slide #13]?

    It just might be a helix.

    Notice how easily one can visualize an ellipse [your slides 18-21] rotating through the virtual cylinder of the helix in figure 3 from:
    SIGNAL PROCESSING & SIMULATION NEWSLETTER
    Fourier Analysis Made Easy Part 2
    Complex representation of Fourier series

  • http://egregium.wordpress.com/ Christine

    From Gravitons to Gravity: Myths and Reality, by Padmanabhan (gr-qc/0409089):

    There is a general belief, reinforced by statements in standard textbooks, that: (i) one can obtain the full non-linear Einstein’s theory of gravity by coupling a massless, spin-2 field $h_{ab}$ self-consistently to the total energy momentum tensor, including its own; (ii) this procedure is unique and leads to Einstein-Hilbert action and (iii) it only uses standard concepts in Lorentz invariant field theory and does not involve any geometrical assumptions. After providing several reasons why such beliefs are suspect — and critically re-examining several previous attempts — we provide a detailed analysis aimed at clarifying the situation.(…)we prove that it is textit{impossible} to obtain the Einstein-Hilbert (EH) action, starting from the standard action for gravitons in linear theory and iterating repeatedly.(…)We show that the second rank tensor $mathcal{S}^{ab}$ is {it not} the conventional energy momentum tensor $T^{ab}$ of the graviton and provide an explanation for this feature.(…)we construct the theory obtained by self consistently coupling $h_{ab}$ to the conventional energy momentum tensor $T^{ab}$ order by order and show that this does {it not} lead to Einstein’s theory.

    For those interested, I welcome discussions on Padmanabhan’s specific points over at my blog.

    Thanks,
    Christine

  • Non-physicist

    How does one know the entropy of a black hole? You say “string theory gives precisely the right answer,” but since this isn’t observed (?) how do you know the right answer?

  • Illirikim

    Thank you, Christine, for finding that paper. I remembered it well, but somehow I forgot the author’s name, though I should not have. I hope that people weighing in on this issue will read it carefully and not rely on vague folk-memories of the form “Feynman proved…” For my part I would really like to see someone demonstrate explicitly how AdS arises from the exchange of gravitons in Minkowski space. At least the topologies are the same…though seeing how that timelike conformal infinity arises from graviton exchange ought to be pretty interesting….of course, seeing how graviton exchange turns Minkowski space into deSitter would be even more entertaining……

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  • http://mingus.as.arizona.edu/~bjw/ Ben

    44 – Stephen Hawking computed the entropy of a black hole – it is proportional to the area of the event horizon – based on ideas about Hawking radiation, which is thermal radiation emitted from just outside the event horizon. It is not observed, but is based on relatively sound theory, that doesn’t include assumptions about quantum gravity (to my knowledge).

    Personally, I think string theorists are bribing string-theory-naysayers under the table to keep producing invective; the nominal controversies keep people talking about string theory, even unto the popular press. If the discipline became “just” a bunch of string theorists plugging along slowly making progress toward the mathematics of a final theory that might take decades to achieve, they’d get as much media attention as a former child star who grows up to live a happy normal life in Peoria.

  • http://arunsmusings.blogspot.com Arun

    It is not entirely clear that computation of a thermodynamic quantity producing the correct result from a microscopic model means that the microscopic model must be correct. E.g., the blackbody radiation curve is quite independent of what the blackbody might be made of.

    Secondly, the string theory blackholes are made up of rather exotic matter (referred to as stringy stuff henceforth). Either our ordinary baryonic matter and whatever the dark matter is transmutes into this exotic matter when a blackhole is formed in our universe, which raises the question – how?

    Or it doesn’t, which means that there are blackholes made of stringy stuff and different blackholes made of regular stuff, with the same entropy, which goes to the point that two different microscopic models can yield the same thermodynamic result.

    Maybe I’m confused, but it seems that string theory black hole models are simply models with computability, very nice to have, etc., but not necessarily real.

  • Warren Anderson

    Tools were developed, in certain special circumstances, to tackle a famous problem introduced by Stephen Hawking in the 1970′s — calculating the entropy of black holes.

    Just clarification on the history of the black hole entropy thing. First, I would have said that it was Jacob Bekenstein who introduced the entropy problem for black holes to the literature (I’ll dig out the reference if anyone really wants it). The anecdote I’ve heard is that Bekenstein based his conjecture that black holes carried an entropy associated with their surface area on his supervisor, John Wheeler’s, observation that if the universe is a closed system and you throw a hot cup of coffee into a black hole and that coffee disappears, haven’t you just violated the second law of thermodynamics? The question then arose how to reconcile the fact that a black hole which has an energy and, if Bekenstein was right, and entropy, could have no temperature, since the Gibb’s relation says that for an isentropic process dT = dE / S. This question was answered to most people’s satisfaction by Hawking’s discovery of thermal radiation emitted by a black hole. I must say, however, that I’ve always been somewhat puzzled that the energy and entropy manifest themselves in classical quantities of the black hole itself (mass and area) while we need to introduce quantum behaviour of other fields on the black hole background to get the temperature part. Finally, the question arose “In other thermodynamical settings, thermodynamic entropy is just a manifestation of indistinguishable microscopic states – what are the indistinguishable microscopic states of a black hole that lead to the entropy?” This is what Sean cryptically refers to as the problem that string theory has solved. A string theorist friend of mine once inadvertently referred to this result as “an observational result that string theory could have predicted, had we known it earlier”. It’s not an observational result in my books, but apparently the bar for what is varies :-) . In any case, I’m a bit skeptical of the string theory state counting argument, but it certainly seems to be, if not the only game in town, at least the best grounded.

  • http://backreaction.blogspot.com/ B

    Hi Christine, thanks. Just to clarify, I didn’t say anything about re-iterating the linear approximation. Best, B.

  • http://superstruny.aspweb.cz Zephir

    …”This process of translation of an idea from words to calculation will be familiar to any theoretical physicist. It is often the hardest part of a problem, and the point where the greatest creativity enters. Many word-ideas die quickly at this point, or are transmuted or sharpened”…

    This is simply because the consecutive logic of math is not suited well for description of heavily parallel processes. We are simply using incompatible tool for description of concepts and calling it “a science”.

    For example, the Aether Wave Theory explain both strings, both quantum loops by density fluctuations, which appear during supercritical vapor condensation, i.e. by common Newtonian mechanic. The process of vapor condensation is difficult to describe by contemporary math, but it doesn’t mean, it cannot serve for conceptual reformulation of contemporary physics.

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  • Garbage

    “…In addition, the Weinberg-Witten theorem tells you that a massless spin 2 particle can’t be composite.”

    Oops, what about the ADS/CFT correspondency ;)

  • Anonymous

    “So is the jig up? Is string theory in its last throes? No, not at all. At least, not if we measure the health of the field by more strictly academic criteria. String theorists are still being hired by universities in substantial numbers; new graduate students are still flocking to string theory to do their Ph.D. work; and, most importantly, the theory continues to be our most promising idea for bridging the gap between quantum mechanics and gravity.”

    This is a pretty unconvincing response. It certainly does not address any of Smolin’s criticisms.

    “But, despite capturing the popular imagination, string theory has fallen on hard times lately, at least in the public-relations arena.”

    Public relations and popular imagination. A major part of the problem is how eager string theorists have been to capture the popular imagination, without properly qualifying their “discoveries.” I certainly won’t bother reading the next hyped-up Scientific American article on string theory.

  • George Musser

    I certainly won’t bother reading the next hyped-up Scientific American article on string theory.

    Anonymous, if you have specific critiques about Sci Am articles — on why you think they’ve been hyped-up and why their scientific content still did not make them worthwhile — please let me know. I’m always trying to improve what we do.

    George
    gmusser at sciam.com

  • Eric Mayes

    Anonymous,
    It seems to me that SciAm has also done ‘hyped up’ articles on Loop Quantum Gravity as well as string theory, so I think your criciticism is rather unfair.

  • http://www.sunclipse.org Blake Stacey

    AFAIK, SciAm hasn’t been as egregious as New Scientist (think pentaquarks, Heim theory, MECOs, Masaru Emoto’s water-woo, the EmDrive. . .).

  • Aaron S.

    hmmmm

    It seems I have missed much in the last few months of not checking this blog.

    I would like to make a few points here, and I am by no means a physicist, but a few things do strike me as… off.

    It does appear that string theorists are struggling to maintain superiority. Many very reputibale scientists are standing up and taking a stand FOR ST. But what they lack is the factual paper results. This has been said over and over, but the mainstream needs (or will need soon) some sort of physical evidence.

    Newtonian Physics lasted hundreds of years and was widely accepted because it fit. It had just enough experimentable data to satisfy the main stream, but when we get down to it, newton was wrong. (insert apology for all MOND lovers here)

    I am well aware of the difference between MOND and ST, but the point i am trying to make is that every since i got into science (I forecast weather… less complicated lol) was that unless you had some sort of experiment that could be done by many people in many places, unless you had some solid sort of debatable…. thing… then well you dont have much to begin with.

    The math is nice to see, and although a bit of it is above my level.. well i am beating a dead horse.

    I just don’t understand how ST can be considered the true UFT or any resemblance to it at all…

    Maybe someone can point me to something that has all the gouge that I am missing. (A little more in-depth than the powerpoint slide please.. I would like to see some of the math.)

  • Thomas Larsson

    Aaron S. Newton was not wrong, only incomplete. Any correct theory needs to reproduce Newtonian mechanics in the appropriate limit. A correct theory of QG does not need to reproduce 10- or 11D ST, only 4D SM+GR.

  • http://www.lawpundit.com/blog/2005/01/belief-without-proof-evidence-and.htm Andis Kaulins

    “snip”

    that word describes our double-edged scissored view of string theory, which seems like a postmodern system of epicycles …. or … do branes have brains?

    At
    http://www.lawpundit.com/blog/2005/01/belief-without-proof-evidence-and.htm
    we write:

    “What are the main logical problems with string theory (alleged physical laws) from our point of view?

    a. Perceived physical reality in physics is always a function of the system of measurement. Measurements are by definition relations presupposing frames of reference to be measured by some sort of “measurement ruler”. Thus, “measured” reality is
    1) a function of the frames of reference chosen for the relationships being measured (for example, particles, waves or “strings”) and
    2) the means of measurement (motion, inertia, velocity, weight, dimension, extension, contraction, etc.) “….

    Speaking of “measure”, has anyone considered the rather simple idea that “God” did not “make” the universe, but that God “is” the measured universe….

    Perhaps the world is an “ultimate” string – but no string ever vibrates by itself, but needs to be plucked by something – frankly, we think that the idea of an infinitely extensible and unsnippable vibrating “rubber band” is better than simple string theory because it would more accurately reflect a yo-yo world alternating between the impossibles of absolute something and absolute nothing….

    For the math freaks this means that the Universe U could conceivably be defined by the formula U = >0 and

  • Jamahl Peavey

    I constantly hear about String Theories problem is it can not be tested. It really doesn’t matter if we can detect strings. Take the equations, plug in the numbers and lets see what comes out.

    Why not try String Theory on Pulsars or Neutron Stars?

    See what happens. We know what happens to General Relativity. It fails big. I mean real big, so the goal is not to unify General Relativity with anything.

    Cosmology was weak during Einstein era’s (ie Local). We now have the most advance telescopes in the world and that is what is proving General Relativity wrong. Strings should have stayed on the subatomic level because on this level we know how stars move. If String try to piggy back on General Relativity the will fail as well.

    General Relativity will be replaced but not with Strings.

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Cosmic Variance

Random samplings from a universe of ideas.

About Sean Carroll

Sean Carroll is a Senior Research Associate in the Department of Physics at the California Institute of Technology. His research interests include theoretical aspects of cosmology, field theory, and gravitation. His most recent book is The Particle at the End of the Universe, about the Large Hadron Collider and the search for the Higgs boson. Here are some of his favorite blog posts, home page, and email: carroll [at] cosmicvariance.com .

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