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Take it higher, this means that now the theory of ether (on the seven-dimensional sphere) can count on some kind of reward (please do not offer the Shnobel one).does it mean that now string theory can also get a Nobel prize?
Take it higher, this means that now the theory of ether (on the seven-dimensional sphere) can count on some kind of reward (please do not offer the Shnobel one).does it mean that now string theory can also get a Nobel prize?
This has been extensively considered in the wider theoretical and mathematical physics literature, as well as whether or not string theory - or any string theoretic variant such as M-theory - is indeed such a unique theory of which the current theories are limits; by the standard level of rigor of mathematical physics, the hard mathematical evidence for this is actually paperthin.In principle it could be possible to prove that there is a unique (up to some equivalence) theory that has the current theories as limits.
I actually think in the case of AdS/CFT that the bulk being reproducible from the boundary may not be possible in general. This is because projections from the bulk to the boundary, although possibly homotopy equivalent in some very special cases, aren't generally homeomorphisms; mere homotopy equivalence does not a physical theory make. In any case, it would take a proof of singularity theorem type proportions to show otherwise.There are two directions of the needed proof of AdS/CFT. One direction is that the boundary (CFT) can be reproduced from the bulk (AdS). The evidence for this direction is overwhelming. The other direction is that the bulk can be reproduced from the boundary. The evidence is rather slim.
Given that Penrose now got the Nobel prize for a theory that is almost impossible to verify experimentally in a near future (that is, for theorems that predict singularities inside black holes), does it mean that now string theory can also get a Nobel prize? (If so, Witten and Schwarz would be most obvious candidates.)
You might be interested in my http://de.arxiv.org/abs/1507.00591I actually think in the case of AdS/CFT that the bulk being reproducible from the boundary may not be possible in general. This is because projections from the bulk to the boundary, although possibly homotopy equivalent in some very special cases, aren't generally homeomorphisms; mere homotopy equivalence does not a physical theory make. In any case, it would take a proof of singularity theorem type proportions to show otherwise.
Wonderful paper, this certainly deserves its own thread. I like that by using completely different methods and arguments you arrive at a similar conclusion to my own which is almost completely mathematics based. In fact, by tying together three different branches of mathematics I can already see the outline of a proof; if only I had the time I would have loved to collaborate on this.You might be interested in my http://de.arxiv.org/abs/1507.00591