MTd2 said:
There is still hope, if there is some kind of drag from the quantum foam. Same for string theory.
No, there is no hope of lorentz violations in string theory, unless the theory turns out to be mathematically inconsistent (which seems unlikely after 20+ years of study but could conceivably happen), because lorentz symmetry is one of the primary axiomatic inputs.
This is the apparent lorentz symmetry break, within superstrings:
Thanks for providing a link to your claim. Here is a technical paper by the same author which elaborates on the approach:
http://arxiv.org/abs/gr-qc/9906029"
From page 2:
As commented earlier, one may expect
Lorentz invariance to be broken in a generic theory of
quantum gravity. In the context of string theory, this en-
tails the exploration of non-critical string backgrounds,
since Lorentz invariance is related to the conformal sym-
metry that is a property of critical strings.
Of course, a non-critical string theory is a string theory that is not in the critical dimension, e.g. strings in 3 + 1 d spacetime. These theories can only exist if we relax the constraint of lorentz symmetry.
It may be a matter of semantics Mt2d, and we can agree to disagree, but without any context I think "string theory", "superstrings", etc refers to the mainstream theory worked on by Susskind, Kaku, Greene, Randall, Vafa, Witten, etc which obeys lorentz symmetry without a doubt. It would be fair to say "there are non-critical string theories which violate lorentz symmetry" but since most people on this board won't know the jargon "non-critical" I still think this might be misleading.
Incidentally, some people might want to reflect on the fact that lorentz invariance is considered so important that the mainstream physicists have choosen to preserve this in string theory rather than choosing to preserve d = 4 spacetime.
You forgot to mention the countless string meetings, including string 2009, where works on Horava Gravity are being presented.
The idea of giving a serious new theory a fair chance is not so new, and I hope everyone who believes in conspiracies about string theorists supressing outside reasearch take this as evidence that they always give a new approach a chance until it is shown to be unviable. There have already been a few papers pointing out problems with Horava gravity, and if that trend continus unabated the mainstream will move on in a year or two.
There is still hope, if there is some kind of drag from the quantum foam. Same for string theory.
As an aside, why would anyone hope for lorentz violation? As I have said this is one of the deepest principles QFT is based on, and was essential for the development of the standard model, it would be disappointing if this symmetry were violated and it would reduce Einstein's theories and QFT to merely effective approxmations.
I am skeptical of the phrase "quantum foam" applied to string theory. I know Greene uses this phrase in his popularizations, but as far as I can tell that's just his way of communicating the nature of quantum mechanics / quantum field theory. I just want to clarify that spacetime is smooth in the mathematics of ST, even though I think Greene sometimes makes unclear comments about this for the sake of attracting a popular audience.