What are unified theories trying to match at lower energies?

[crackjack]

I don't agree. I have not seen one single model (GUT, SUSY, string) which is not either completely unnatural (*) or simple wrong (**).

I still don't see why you are placing SUSY, GUT and strings on the same platform. They hold at different energy scales. Ideally, a string theorist should explain SM, E&M, Newtonian gravity and all the way to fundamental biology etc. But, we can only expect them to relay the baton to GUT theorists and relativists who will then relay it further and so on to biologists etc.
Now my question is, when there is so much confusion at the GUT and SUSY scale, there is no clarity as to which of these theories should the string theory aim to pass the baton to. And lacking such a clarity, it cannot be unequivocally said that it is entirely strings fault for SM not having received the baton.

 

[tom.stoer]

... when there is so much confusion at the GUT and SUSY scale, there is no clarity as to which of these theories should the string theory aim to pass the baton to

The situation is as follows:
There is not one single experimental result that forces you to abandon the SM or to look for new physics beyond the standard model. But there are theoretical reasons why you should do so (unification, UV-completion, why three families, why U(1)*SU(2)*SU(3), quantum gravity).

I see basically two different approaches (black and white, I know):
1) construct models (reproducing the SM at low energies) solving some of these problems: bottom-up approach
2) construct one unique theory from which the SM can be derived in some way: top-down approach
For both approaches the SM is the benchark. w/o reproducing its effects and accuracy a candidate theory is doomed to fail.

Now it makes no sense to say that there's no need for string theory to reproduce the standard model but only to reproduce some other low-energy effective theory - if at the same you know that there is only one single low-energy effective theory that describes the real world - namely the standard model. And it makes no sense to try to reproduce some SUSY-GUT (as an example) if you know that this SUSY-GUT does not describe the real world!

If you can give me a theory X that solves some problems of the standard model and that does not create new ones, then it's reasonable for string theory to try to reproduce this new candidate theory X. If you are not able to give me such a theory then string theory (or one of its solutions) must reproduce the standard model. In any case the other theory seems to be a stopover only.

... it cannot be unequivocally said that it is entirely strings fault for SM not having received the baton.

Correct! Nobody has ever been able to provide something better than the SM, so you can blame everybody.

Look at the "old-fashioned" SU(10) GUT which failed because the proton lifetime came out too short. It failed because the proton lifetime was too short, not because it was not able to derive SU(5) or something else. You must blame SO(10), not SU(5); you cannot say that SO(10) could work theoretically and it's up to SU(5) to repair the defects of SO(10).

But I agree with you that a physically acceptable theory X beyond the SM which is formally closer to ST would help a lot.

 

[Fra]

I see basically two different approaches (black and white, I know):
1) construct models (reproducing the SM at low energies) solving some of these problems: bottom-up approach
2) construct one unique theory from which the SM can be derived in some way: top-down approach
For both approaches the SM is the benchark. w/o reproducing its effects and accuracy a candidate theory is doomed to fail.

Apart from the lack of uniqeness, as far as I know there is not yet even _one_ known string model that reproduces correct SM physics to the extent known from experiment?

The lack of uniqueness itself might be curable if ST could complement their thinking with mechanisms for variation and selection and thus evolution. (I don't mean resorting to silly antrophic principles; I mean real statistical-like inferences of expected evolution scenarios, based on a unique minimal starting points of maximum possible symmetry - but there are no imagine mechanisms for this as far as I know.)

I'd persoanlly see (1) without vision of solving most serious issues as a waste of time due to beeing halfhearted. I also think several of the foundational questions are related, and I think it's harder, not easier, to try to solve them one by one rather than together.

/Fredrik

 

[tom.stoer]

The lack of uniqueness itself might be curable if ST could complement their thinking with mechanisms for variation and selection and thus evolution. ...

I am not sure if this is relevant in our discussion, but I agree that either string theorists have to identify a new (yet unknown) principle that is powerful enough to establish uniqueness or that that they are able to incorporate some (statistical) selection principle.

... I'd persoanlly see (1) without vision of solving most serious issues as a waste of time due to beeing halfhearted. I also think several of the foundational questions are related, and I think it's harder, not easier, to try to solve them one by one rather than together.

I tend to agree, but I am not sure. In the end you are right, if there's hope to identify a ToE then one must sooner or later - abandon the bottom-up approach, otherwise if you have discovered the ToE, you will not be able to know whether it really IS the ToE :-)

On the other hand if we are not yet at the stage where the ToE is at the horizon, perhaps another step in a bottom-up manner may be required. But if this is the case I doubt that it's string theory, simply because for a minor step it's much too complicated.

I am not sure who had the idea here in this forum: perhaps string theory will stay forever what it is: a collection of theories in a larger space of ALL consistent theories related by certain dualities. Compare it to manifolds: each low-energy effective theory may correspond to a local "chart", an element of a huge "atlas of theories". And perhaps the structure of the manifold does not allow for one unique chart ...

Interesting, but I don't think that it has much to do with model building.

 

[Fra]

I am not sure who had the idea here in this forum: perhaps string theory will stay forever what it is: a collection of theories in a larger space of ALL consistent theories related by certain dualities. Compare it to manifolds: each low-energy effective theory may correspond to a local "chart", an element of a huge "atlas of theories". And perhaps the structure of the manifold does not allow for one unique chart ...

If someone could convince me that the string framework IS an exhaustive collection of all theories, then that would actually be a major point for me, but even this is far from clear to me since there are no plausible arguments. On the contrary do I see reasons that the starting from continuum objects can't be a minimal complexity starting point from the point of view of information.

Other than that, I am quite at peace with ideas that theories themselves, must evolve, since theories physically are encoded in physical systems. So some kind of population of theories, associated to a population of matter systems, with given properties in consistency with mentioned theories, in a democratic sense are IMO some loose generic predictions of some of the visions I have.

I think this relates to the current discussion indirectly since another "possibility" is that we may need to actually revise our understanding of what the physical basis of a theory is, in order to understand how one theory "implies" another one, at a different scale. It's not just semantics to question what we mean by theory and implication here. I think this involves understanding what a symmetry is, and how one system infers and encodes(internally) a symmetry of it's own environment to the point where the internal and external symmetries are dual to each other. Maybe there is simply no objective meaning to gigantic symmetry constructs simply because of the physical requirements of a system in terms of complexity, to with perfect confidence, infer a symmetry. If this is so, the "meaning" of TOE, would itself be context/observer dependent. So we seem to be lead to a idea of evolving theories nevertheless. I don't think that is wrong at all, I just thing ST has stumbled upon a problem, but are possibly far from the solution.

/Fredrik

 

[arivero]

I am not sure who had the idea here in this forum: perhaps string theory will stay forever what it is: a collection of theories in a larger space of ALL consistent theories related by certain dualities. Compare it to manifolds: each low-energy effective theory may correspond to a local "chart", an element of a huge "atlas of theories". And perhaps the structure of the manifold does not allow for one unique chart ...

Such vision is not far from A. Sen presentation of the theory of dualities in string theory.

On my side, I would tell that if it is true, each duality should present an aspect of the model. Particularly, all the versions able to go down to low energies should appear. It can be fantastic, but there is room for it to happen. For instance, they are two natural sets of 84 particles in the standard model: all the 96 without the 12 neutrinos, and all the 96 without the 12 aspects of the top quark. One could expect that one consistent theory can produce the neutrinos apart, and other theory can produce the top quark apart, and both are consistent and related by duality.

(note: if you are asking why the numerology of 84, it is 128 minus 44).

 

[crackjack]

@ tom.stoer
If the opposition to string theory implies an opposition to SUSY/GUT and string theory taken together, then I understand. But, I often see that even those who oppose string theory research do not find it necessary (for quite strong reasons) to protest against SUSY/GUT research. Thats what I find strange - because there is simply no criteria to judge string theory in isolation.

 

[tom.stoer]

There is neither protest from my side against string theory, nor against other theories. I do not believe that ST is the right way to go, but I may be totally wrong (so can be others, therefore it would be foolish to try to stop ongoing research program). There are good reasons to invest time and money in GUT/SUSY/SUGRA. I think there are candidates for an improvement beyond the SM w/o the need of ST!

I do not judge string theory in isolation. I only want to make clear that trying to justify ST using unjustified SUSY/GUT/... is not really helpful. What counts is agreement with experiment - nothing else.

 

[arivero]

http://arxiv.org/abs/0910.1129

 

[Fra]

On my side, I would tell that if it is true, each duality should present an aspect of the model. Particularly, all the versions able to go down to low energies should appear.

In addition to beeing an aspect of a theory, I personally associate an aspect like a particular representation (in terms of encoding) of the theory by an observing system. This is why in the best of worlds, the dualitites could maybe be thought of as a democracy of observers related to a communication channels. Ie. two apparently different theories can be consistent, when measured properly against their interaction channel if they are exactly related as the duality requires, yet one of them can be preferred since it may be a more efficient representation of a theory, and would then have a competitive advantage.

So my personal conjecture is that the properties of matter as well as spacetime in the SM, are optimum representations that have been selected during a mutual evolution process. If we can formulate and try to partially solve the optimation problem, given a representation of the space of physically encodable and inferrable theories, ideally the structure we know there is from SM, should emerge as - not deterministically unique - but hopefully inductively unique (unique enough for human science that is) induced best expectations for any given experiment.

Similarly all the interactions, could then be interpreted as resulting from a rational action, based on induced expectations - this I see as quite related to, or a generalisaion of the idea of entropic force that was discussed in anothrt thread.

The biggest problem is that this is totally new way of abstracting things, and a lot of the "basiscs" has to be reformulated too. This means there is a huge activation energy to go this direction, no matter if I'm convinced that it's right. This is why I think that atm, the collective isn't going this way anywhere near, until some individual makes the effort of showing the way in a paper.

But I feel that some of the trend recently is sloowly moving this direction with some thinking of verlinde/jacobsson/smolin.

/Fredrik

 

[crackjack]

@ tom.stoer

I think the majority do not have a black and white (those supporting/opposing) opinion on ST. And for those gray ones, it becomes hard to judge something (like when allotting the quantum of funding, number of positions etc) without bringing in what they personally feel. And I think that is alright.

But what I do not understand are their personal views per se (same as yours?): Not having the same level of discomfort with SUSY/GUT/SUGRA on one hand and ST on other - I don't see what criteria is used in judging ST in isolation and not in combination with the other group.

I will make it explicitly clear that even I am not talking of justifying ST by citing an unjustified SUSY/GUT/SUGRA, but asking for the rationale behind dismissing (at least partially) ST without equally dismissing SUSY/GUT.

@ arivero
Abstract sounds interesting.

 

[tom.stoer]

... but asking for the rationale behind dismissing (at least partially) ST without equally dismissing SUSY/GUT.

That goes into a different direction. Now is more related to gut feelings ... I would say it depends what you expect.

If you expect a reasonable theory with (e.g.) a single symmetry group plus solution for (e.g.) the hierarchy problem then any theory like MSSM (SUSY/GUT) is acceptable. It's just like making the small step from QED + Fermi to GSW. In that case introducing a monster like ST is nonsense. But that's b/c you do not expect to find the ToE but "only" a theory which gradually improves the SM (now we can discuss if this can be achieved with the MSSM, but that's a different discussion).

If you expect something like a ToE then the aim is more ambitious. More sophisticated concepts are allowed, additional theoretical input is fine - simply b/c you do not only want to unify color and flavor, but you want to unify all known interactions and particles. So complexity may increase. But at the same time you have to explain or derive much more than with the MSSM or some SUSY/GUT in general.

Let's assume we find a way to re-formulate the MSSM rather naturally; let's assume you find a dynamical principle which replaces the Higgs (a condensate or something like that). Let's call this rather old-fashioned model MSSM+. What do you expect from ST? Simply reproducing exactly this MSSM+? Let's assume you are able to do this using string theory! Besides MSSM+ you get a lot of different models similar to MSSM+ - but unrealistic. So what is ST good for? For nothing at all! It adds complexity, invisible entities, ambiguities, ... There is no reason to derive all these unrealistic models (besides MSSM+) from one single framework. Physically they do not exist so it does not make sense to consider such a framework.

But if you are able to derive from ST in a rather unique way this MSSM+, or if you are able to provide a natural selection principle which singles out this MSSM+, then is worth to discuss ST! More complexity can be justified only if the theory makes either more or better predictions.

And this is why so many people feel very uncomfortable with ST: it adds complexity and explains less than the SM. So Ockams rules out ST (as of today). I think the question is not whether judging ST in isolation is allowed, the question is whether applying the same standard to ST is adequate.

Tom

 

[atyy]

But if you are able to derive from ST in a rather unique way this MSSM+, or if you are able to provide a natural selection principle which singles out this MSSM+, then is worth to discuss ST! More complexity can be justified only if the theory makes either more or better predictions.

I believe Weinberg takes a similar point of view, which is why he said that string theory is a disappointment. Not all take the same viewpoint.

http://arxiv.org/abs/0909.0518: Monovacuist (n): One who believes that a theory of quantum gravity should have a unique groundstate (in spite of the fact that we know many examples of much simpler systems which have many groundstates, and in spite of all the evidence to the contrary (e.g. [26, 27])).

 

[crackjack]

@ tom.stoer

This has been the direction of my posts all along - not sure why I didn't get this across clearly.

As for what you said, I fully agree. But my point is we are still working on the SM+ (what you call MSSM+) - your reasoning for the discomfort with ST starts with a big "lets assume you find a dynamical principle...". Now, with no such SM+ yet, what is the reason for writing off (at least partially) ST already?

@ atyy
To not accept a theory because it predicts a landscape is a personal preference. But, if the theory also concludes a flat potential for that landscape, then it is of no use. ST hasn't concluded any potential yet.

 

[tom.stoer]

... what is the reason for writing off (at least partially) ST already?

My personal feeling is that it's too complicated to be true.

 

[crackjack]

I am trying to get a general understanding of the opposition to string theory. So, is this opinion of yours also shared by majority who oppose ST (but not SUSY/GUT as much)?

If so, I find it quite shaky. Physics has become more and more complicated over the ages - sometimes smoothly, sometimes in big steps (depending on how ambitious the aim was). So, how could that be used as an argument - even to convince one's own self - against (even partially) ST.

 

[Fra]

I am trying to get a general understanding of the opposition to string theory. So, is this opinion of yours also shared by majority who oppose ST (but not SUSY/GUT as much)?

If so, I find it quite shaky. Physics has become more and more complicated over the ages - sometimes smoothly, sometimes in big steps (depending on how ambitious the aim was). So, how could that be used as an argument - even to convince one's own self - against (even partially) ST.

My personal objection to ST is not complexity per see, but maybe the amount of UNMOTIVATED complexity.

The fact that there is almost no experimental support worth mentioning for ST foundations, the remaining motivators must be that the research strategy implied by the ST framework, must be motivated relative to what we know so that we have confidence in that the research program (while complex) is the best undertaking. In that sense, I find it extremely weak. Most motivations are such that it feeds matematicians etc. Nothing wrong per see, but it's not at all a valid intellectual argument to anyone seeking to understand nature.

/Fredrik

 

[tom.stoer]

I am trying to get a general understanding of the opposition to string theory. So, is this opinion of yours also shared by majority who oppose ST (but not SUSY/GUT as much)?

You have to say what you are looking for: a ToE, a model enhancing / curing the SM, a model including gravity, quantum gravity only; it depends ...

If so, I find it quite shaky. Physics has become more and more complicated over the ages - sometimes smoothly, sometimes in big steps (depending on how ambitious the aim was). So, how could that be used as an argument - even to convince one's own self - against (even partially) ST.

The question is what is meant by "simple". Let's make an example: regarding effort, computing time, ... QCD is one of the most involved theories. SU(3), path integral, Fadeev-Popov, Gribov ambiguities, DIS, topological effects (instantons, theta-vacuum, ...), lattice gauge theories, hadron spectra, ... quark-gluon-plasma, ... Nevertheless I can write down the full QCD lagrangian in one single line; everything else is just (40 years of) "homework"!

In ST there are a lot of unsettled conceptional questions: what are the fundamental equations, principles and degrees of freedom? what IS ST? what IS M-theory? what does it mean? Of course in addition you have a lot of "homework", but the problem is not only HOW to calculate something but WHAT you should calculate. Therefore I think it's more complex compared to old-fashioned QFT what you have to do - the "how" comes later.

 

[crackjack]

@ Fra
I think you are taking the wrong direction again. My question is not "why should we strike off ST?" - rather, it is "why should we strike off ST while not striking off SUSY/GUT?". To say ST does not relate to what we know is wrong because we don't even know anything certain at SUSY/GUT.

@ tom.stoer
QCD is not in the same category as ST and many of the qft methods used in arriving at this clarity of QCD were already developed (unlike ST). A good comparison would be the jump to quantum theories from classical mechanics. Then again, the ambition of ST is far bigger than quantum mechanics and hence the efforts too. And didn't you say in #42 that you do expect the complexity to increase since the aim of ST is very ambitious?

The conceptual questions need to be answered, but that's again not a good criteria for writing off - there are still a lot of unanswered questions with good old quantum mechanics too (like the main quantization process itself).

You have to say what you are looking for: a ToE, a model enhancing / curing the SM, a model including gravity, quantum gravity only; it depends ...

I didn't get this question.

 

[atyy]

You have to say what you are looking for: a ToE, a model enhancing / curing the SM, a model including gravity, quantum gravity only; it depends ...

My feeling is that string theory is to quantum gravity as Nordstrom's theory is to classical relativistic theories of gravitation - to be immensely studied as a pointer to the right theory, even if it is eventually ruled out by experiment.

 

[tom.stoer]

QCD is not in the same category as ST and many of the qft methods used in arriving at this clarity of QCD were already developed (unlike ST).

I serves as an example only; but if you look at my list most topics were completely unknown prior to QCD. But ...

And didn't you say in #42 that you do expect the complexity to increase since the aim of ST is very ambitious?

... you are right, my reasoning sounds inconsistent. I would like to stress that talking about growing complexity I tried to be unbiased, whereas my last remark is certainly a personal belief only, and everybody is free to disagree.

My impression is that sooner or later during the development of a theory there should be a turn where some (hidden) rather simple structures, principles or axioms are discovered. This did not happen in ST, even though thousands of highly talented people spent decades of research. This is one reason why I believe that ST is wrong.

 

[atyy]

This is one reason why I believe that ST is wrong.

Do you mean wrong as in "not a consistent theory, and hence not capable of making predictions in principle" or "a consistent theory whose predictions will not be borne out experimentally"?

 

[Fra]

@ Fra
I think you are taking the wrong direction again. My question is not "why should we strike off ST?" - rather, it is "why should we strike off ST while not striking off SUSY/GUT?". To say ST does not relate to what we know is wrong because we don't even know anything certain at SUSY/GUT..

You are right that I didn't quite get that you made that comparasion, sorry.

But while ST may require some form of SUSY, but the opposite isn't true, so I don't understand your comparasion. Also the ambition of ST is higher, therefore the two things you compare aren't even fair competitors?

To say ST does not relate to what we know is wrong because we don't even know anything certain at SUSY/GUT..

You probably missed the level of where I meant this comment. Yes SUSY/GUT is not something we know, which means ST must connect directly to the more firm ground, which to me means agreement with the subset of predictions of the SM that is currently tested against experiment, nothing else.

I would ask the same out of any other approach. Experimental contact is the only thing that counts as firm ground. Other guides are bound to be subjective, that's I guess why we have different research programs.

The conceptual questions need to be answered, but that's again not a good criteria for writing off - there are still a lot of unanswered questions with good old quantum mechanics too (like the main quantization process itself).

My ambition that the unaswered questions with good old QM SHOULD be accounted for in a plausible program. Anything less, and I would certainly find the "minimal extension" philosophy working from the set of experimentally confirmed domains more rational.

The latter is I think the natural choice for a experimentalist, but for a theorist seeking deeper understanding I see no excuse for halfhearted programs, that without good arguments ignores several deep issues.

/Fredrik

 

[tom.stoer]

Let me first remark that I am not an insider, therefore there my be new developments which I am not aware of. I'll appreciate hints where some progress regarding these topics can be found.

To me ST seems to be "wrong" in the following sense:
1) nobody knows how to quantize the entire theory; what is known are some classical ground states (a glimpse of the infamous landscape) + perturbative quantization up to a two loops (*); that means that we do not know the full theory, not even formally. Therefore in strict sense the theory does not even exist. (**)
2a) Regarding predictions: ST does make predictions, but most of them are wrong (most of the derived low energy effective theories) or incomplete (there is e.g. no mechanism which explains the tiny but non-zero masses of the well-known elementary particles). So ST is wrong in the sense that its known predictions are wrong.
2b) ST does not make unique predictions that cannot be derived from other theories. In the current status there is no reason to derive one low-energy theory from ST. Writing it down w/o any reference to ST and saying "that's it, unfortunately it does not fit to our world" is neither worse nor better. To my knowledge all predictions that could eventually be derived are always due to the specific form of a low energy effective theory. So as long as string theory is not able to tell my which theory I should select, ST is wrong in the sense that it creates a huge landscape which is totally unobservable w/o telling me where I am in this landscape. Therefore the theory is as wrong as the aether theories prior to SR.

(*) I am not sure about the number two; but definitely not to arbitrary loops;
(**) this is not a problem if you deal with a non-fundamental theory; chiral perturbation theory does not exist either (as it is non-renormalizable), but it does not claim to be the fundamental theory

Now string theorists will reply that there are many deeply hidden connections between different areas of ST, dualities, hints regarding a full M-theory, hope for UV finiteness, ... I agree and this is why there is some hope that not the entire idea but only the way it is treated is wrong. Perhaps its like the theories Einstein tried during the years where he developed GR. He tried several approaches and some of them where physically wrong whereas the whole idea was of course correct.

 

[tom.stoer]

I made some notes based on slides David Gross presented at a string conference; unfortunately I cannot find the slides, so here are the notes:

-----------------------------------------------

WHAT IS THE NATURE OF STRING PERTURBATION THEORY?
Our present understanding of string theory has been restricted to perturbative treatments. Does this perturbation theory converge? Most likely it does not. In that case when does it give a reliable asympototic expansion of physical quantities? How can one go beyond perturbation theory and what is the nature of nonperturbative string dynamics? This question is particularly difficult since we currently lack a useful nonperturbative formulation of the theory.

STRING PHENOMENOLOGY
Here there are many questions that can all be summarized by asking whether one can construct a totally realistic four-dimensional model which is consistent with string theory and agrees with observation?
Great progress, but still not constructed.

WHAT PICKS THE CORRECT VACUUM?
This is one of the great mysteries of the theory which appears, at least when treated perturbatively, to possesses an enormous number of acceptable (stable) vacuum states. Why, for example, don’t we live in ten dimensions? Does the theory possesses a unique vacuum, in which case all dimensionless physical parameters would be calculable or is the vacuum truly degenerate, in which case we would have free parameters? How does the value of the dilaton field get fixed, thereby giving the dilaton a mass? Does the vanishing of the cosmological constant survive the mechanism that lifts the vacuum degeneracy?

The crucial issue is still unresolved: The cosmological Constant

IS THERE A MEASURABLE, QUALITATIVE, DISTINCTIVE PREDICTION OF STRING THEORY?
String theories can, in principle, make many “postdictions” (such as the calculation of the mass ratios of quarks and leptons, Higgs masses and couplings, gauge couplings, etc.). They can also make many new predictions (such as the masses of the supersymmetric partners of the observed particles, new gauge interactions, etc.) These would be sufficient to establish the validity of the theory, however in each case one can imagine (although with some difficulty) conventional field theories coming up with similar pre or post dictions. It would be nice to predict a phenomenon, which would be accessible at observable energies and is uniquely characteristic of string theory.

WHAT IS STRING THEORY?
This is a strange question since we clearly know what string theory is to the extent that we can construct the theory and calculate some of its properties. However our construction of the theory has proceeded in an ad hoc fashion, often producing, for apparently mysterious reasons, structures that appear miraculous. It is evident that we are far from fully understanding the deep symmetries and physical principles that must underlie these theories. It is hoped that the recent efforts to construct covariant second quantized string field theories will shed light on this crucial question.

What is the fundamental formulation of string theory?
Quantum Space of all 2-d field theories
Second Quantized Functionals of loops (SFT)
M-theory . . .
Is string theory a framework, not a theory?
What is missing?

 

[Fra]

I pretty much share Tom's view of ST.

I would like to add one thing about this:

Now string theorists will reply that there are many deeply hidden connections between different areas of ST, dualities, hints regarding a full M-theory, hope for UV finiteness, ... I agree and this is why there is some hope that not the entire idea but only the way it is treated is wrong. Perhaps its like the theories Einstein tried during the years where he developed GR. He tried several approaches and some of them where physically wrong whereas the whole idea was of course correct.

I symphatise with some of the possible ideas of ST defendeers here, but here is the additional objection I have: When I really try my best, to make sense out of string theory, and then in particular the problem of how to select the physically viable domains of these landscapes, then I am led to things that suggests that the only solution is that strings and branes themselves must be emergent, and that this may provide the selection principle needed, but then the point is that I am then lead to a kind of reasoning that is at face with the original starting points of string theory. ie. it's no longer string theory. And I think there is in this case probably a much better path, than going first through the string jungle.

So even if I try my best and make sense and see hope, my conclusion suggest that the founding principles of ST as it's define can't be fundamental.

/Fredrik

 

[tom.stoer]

I can agree to Fra's idea; I would like to add that it is in prinicple not unusual in science, but only in this particular case it takes hundreds of thousands of man-years to uncover the fundamental structures. Compare it with loop quantum gravity: you start with GR, change variables to Ashtekar's, change to loops, change again to cyclindric functions and end up with a uniquily determined Hilbert space of spin networks (LOST theorem).
(LQG is certainly not as ambitious as ST and does not provide the basis for a unified theory as far as we know; and I don't want to promote LQG as the correct theory to describe QG, it simply serves as an example)

I want to make clear that sometimes there are some detours in order to derive the fundamental structure. I don't mistrust the detour by itself, I mistrust the unmanageable complexity and length of the detour.

 

[tom.stoer]

It would be interesting to hear more about these issues from the leading string theorists ...

 

[Fra]

It would be interesting to hear more about these issues from the leading string theorists ...

Same here.

/Fredrik

 

[atyy]

Let me first remark that I am not an insider, therefore there my be new developments which I am not aware of. I'll appreciate hints where some progress regarding these topics can be found.

To me ST seems to be "wrong" in the following sense:
1) nobody knows how to quantize the entire theory; what is known are some classical ground states (a glimpse of the infamous landscape) + perturbative quantization up to a two loops (*); that means that we do not know the full theory, not even formally. Therefore in strict sense the theory does not even exist. (**)
2a) Regarding predictions: ST does make predictions, but most of them are wrong (most of the derived low energy effective theories) or incomplete (there is e.g. no mechanism which explains the tiny but non-zero masses of the well-known elementary particles). So ST is wrong in the sense that its known predictions are wrong.
2b) ST does not make unique predictions that cannot be derived from other theories. In the current status there is no reason to derive one low-energy theory from ST. Writing it down w/o any reference to ST and saying "that's it, unfortunately it does not fit to our world" is neither worse nor better. To my knowledge all predictions that could eventually be derived are always due to the specific form of a low energy effective theory. So as long as string theory is not able to tell my which theory I should select, ST is wrong in the sense that it creates a huge landscape which is totally unobservable w/o telling me where I am in this landscape. Therefore the theory is as wrong as the aether theories prior to SR.

(*) I am not sure about the number two; but definitely not to arbitrary loops;
(**) this is not a problem if you deal with a non-fundamental theory; chiral perturbation theory does not exist either (as it is non-renormalizable), but it does not claim to be the fundamental theory

Now string theorists will reply that there are many deeply hidden connections between different areas of ST, dualities, hints regarding a full M-theory, hope for UV finiteness, ... I agree and this is why there is some hope that not the entire idea but only the way it is treated is wrong. Perhaps its like the theories Einstein tried during the years where he developed GR. He tried several approaches and some of them where physically wrong whereas the whole idea was of course correct.

I think 2a and 2b are widely accepted, even by string theorists. Zwiebach's text for undergraduates explicitly states so, and Jed Distler made a similar comment on his blog a couple of years back. Regarding 1 it's true that the full theory is still unknown, but that's quite different from the theory being inconsistent. In fact if it's inconsistent, 2a and 2b cannot be true, since the theory would not even make predictions (one should be able to get any prediction from an inconsistent theory, which means no prediction). Also, the true meaning of renormalization was only known many years after renormalization had been achieved in QED by Dyson and colleagues, and till then many suspected the theory was inconsistent. Now we know it is inconsistent at the highest energies, but it doesn't matter for predictions at low energies. Given AdS/CFT I would say that string theory does have a proposed complete formal theory of quantum gravity in some universes (not ours).

Tong's comments at the close of his lecture notes http://arxiv.org/abs/0908.0333 "The problems that we alluded to in Section 6.4.5 are real. Non-perturbative completions of string theory are only known in spacetimes which are asymptotically anti-de Sitter, but cosmological observations suggest that our home is not among these. In attempts to make contact with the standard models of particle physics and cosmology, we typically return to the old idea of Kaluza-Klein compactifications. Is this the right approach? Or are we missing some important and subtle conceptual ingredient? Or is the existence of this remarkable mathematical structure called string theory merely a red-herring that has nothing to do with the real world?"