In a numerical coincidence, some see evidence for string theory
quantamagazine.org
quantamagazine.org
It’s not about string theory or about conventional quantum gravity in four space-time dimensions. The topic is graviton scattering in maximally supersymmetric theories in ten flat space-time dimensions, and the argument is that the basic principles of supersymmetry, Lorentz invariance, analyticity and unitarity imply a bound on the coefficient of the lowest order correction term. The only relation to string theory is that a string theory calculation of this correction coefficient satisfies the bound (as expected, since string theory is supposed to satisfy the assumed basic principles). Much is made of the fact that in string theory one can get any value of the coefficient consistent with the bound. This is taken as evidence for the “inevitability” of string theory, but I don’t see this at all. It’s more accurately evidence for the usual problem with string theory: it’s consistent with anything.
Also, see John Baez's comment: https://www.math.columbia.edu/~woit/wordpress/?p=12641#comme...
If any of this stuff turned out to be true, what would the lab experiments and positive outcomes look like?
I'm accustomed to particle accelerators and all sorts of other physical experiments, but I really struggle to relate these sorts of theories to anything that could be done in the lab, and if the theories were predictive, what sort of applied science could be done? No wide-eyed "we could make space elevators and travel FTL", just realistic extrapolation.
The same is true of the extra dimensions - those are detectable, but again only at energy levels that far exceed what is plausible not just for the near future, but probably for the entire future of life in the universe.
And indeed this quote misses the point. The point is that there aren't "additional" effective theories of gravity that are self-consistent but couldn't be explained by string theory. This isn't a smoking gun that string theory is correct, but if the opposite were true, it would have suggested that string theory was missing something.
So it's incorrect to conclude from this evidence that string theory is "consistent with everything"; it's merely consistent with the range of things that are consistent, and no more and no less. (Suspicious! But not conclusive.) One can complain that this isn't predictive, and indeed if you want to look for predictive power you look at other physical quantities. String theory makes very precise and unique predictions for the way that e.g. gravitons scatter off each other. The fact that humans don't (yet) have the ability to do such experiments is regrettable from a fundamental physics perspective, but it's a problem with humans, not string theory. So string theory continues to be a demonstrably self-consistent, (in principle) falsifiable, and stunningly beautiful theory--and dismissing it out of hand is a tragically common mistake.
The two main problems with string theory are supersymmetry and the fact that it requires 10 dimensions. This is a problem because we have no evidence for either of those things, and have to make up new physics to explain them away.
So this paper says nothing more than string theory isn't inconsistent... with itself. Which it shouldn't be since the whole point of string theory was to come up with a consistent mathematical model that combines relativity and quantum mechanics.
Thank you for being generous :)
What are the parts of string theory that are unique to it and not just invariants that apply to a large basket of theories?
https://en.wikipedia.org/wiki/Unitarity_(physics)
(For my PhD thesis I found out that you didn't need an orthogonal basis set to do quantum mechanical calculations but rather you could do it just fine with an overdetermined basis set such as coherent states over p and q so long as you had resolution of unity over the basis set.)
If there is unitarity than there is no information loss in a black hole. If that's the case, the controversy that Stephen Hawking promoted about information loss shouldn't have been controversial -- in fact it held back progress in quantum gravity for 20-30 years which is a serious tragedy.
There is no idea at all how to do quantum mechanics without unitarity so if you believe in information loss you are rejecting the possibility of quantum gravity. My take is that the classical picture of black hole interiors is entirely wrong, even though it is a difficult concept to formulate exactly, I'm pretty sure that what's on the other side of the event horizon is something completely different though there is no way we can know
Isn't this just a fact from the definition of R^n topologies? i.e. There are only n-basis vectors possible and any transformation of them which is still R^n will be linearly related to those original n-basis vectors. (It's been over a decade since LA, though, so I'm not 100% on my verbiage.) Put another way, any non-zero determinate/linearly independent set of vectors within R^n can have at most n-elements.
https://www.researchgate.net/publication/263170709_Wavepacke...
Roughly a wavepacket which is localized in both q and p propagates on a path similar to a classical particle located at q, p and you can use trick to do quantum mechanical calculations based on the classical mechanics. It is not a method of investigating the "classical quantum correspondence" but rather a method of calculating QM quantities.
I wonder if unitarity could be tested with analogs to black holes like the sonic analog. Otherwise this seems testable in a weak sense.
[edit] I just want to point out that, to my intuitive idea of how a black hole would work in string theory - it seems all the information would not be lost. It would be compressed to the event horizon along with everything else.
I always understood that one of the hopes for quantum gravity is exactly to find a new theory that replaces quantum mechanics, hopefully a fully deterministic (and single-world) theory. So, if some possible property of quantum gravity somehow forced us to abandon unitarity, that actually seems like it might have been an enticing aspect to explore, not some obvious dead end. (Note: I'm using the term "quantum gravity" here to refer to any theory of gravity that matches the observed results of quantum mechanics, which might be a replacement for standard QM, not necessarily a theory consistent with QM).
How do you know what the correct values/labels are.
edit: Weinberg explains: https://www.int.washington.edu/PROGRAMS/talent13/refs/weinbe...
If anything good comes out of string theory research it will probably be the development of the mathematical machinery and the computational power that is needed to perform and analyze more experiments and the observational data we are gathering in the study of high energy events out in the cosmos.
Yet I ended up becoming agnostic on the string theory after reading it. There seem to be some genuine contributions to mathematics, but those are side products. The theory has yet to make any correct predictions regarding physics and our understanding of the universe, and it is likely completely unfalsifiable.
To this layman, a lot of it seem like a bunch of extraordinarily smart people twisting their minds (and our conception of the universe) into a pretzel attempting to make post hoc explanations of existing phenomena.
Yes, but it doesn't describe known phenomena only, it describes things we haven't seen, things we can't ever see, and can be tweaked so much that it can accommodate phenomena that we know can't be true.
There are some very polemical critics of string theory like Peter Woit and Sabine Hossenfelder, who suggest that it's a complicated philosophy that started off simple and neat, encountered some problems, and then grew in complexity and vagueness.
(No one has proven that there is a 3D QFT for anything more than U(1), iirc? Or maybe even for U(1) ? Idr. There’s a prize for showing one iirc.)
I don’t think that contradicts the claim of the mathematical beauty motivating things.
The result is a theory that isn't really mathematics as mathematicians understand it, and nor is it physics as many physicists understand it.
AFAIK, nobody knows if it's self consistent yet.
Beauty is on the eye of the beholder. But I count "unsolvable" as a very ugly trait.
The interesting thing about string theory that sets it apart from all other theories of quantum gravity is that it's actually not just a theory of gravity. Because of this, there is actually hope that string theory could produce nontrivial testable predictions at energy scales much lower than the Planck Scale. However, it turns out that teasing out these predictions is very nontrivial, primarily because of a structure called the string landscape. Basically it turns out that the equations of string theory, while being tidy at high energy, produce a multitude of solutions at low energy and, unless you know which solution to look at, making definitive predictions is hard.
Normally the way around a situation like that is to make some observations and try to constrain which solution we should look at. Unfortunately our current best understanding of the landscape is only one-way; we can't currently constrain which solution to look at based on observational evidence. It's sort of like a one-way hash. If we can invert this 'hash function', we could in principle make measurements to constrain which solution we're in and at that point string theory would be falsifiable.
The very fact that such tweaks can be made is a known problem with string theory as a component of physics.
...unless you're in the "string theory == baloney" camp.