# What do “tachionic” neutrinos mean for QG?

Reading about the spectacular Opera claim, Im (again ;-P) wondering if a confirmation of superliminous neutrinos could help settle some still open quantum gravity issues ...?

In this post, Lumo explains why tachyons should better be bosonic if they exist, making use, among other things, of some string theoretical considerations.

So what would a confirmation of the claim mean for string theory?

On the other hand, would a confirmation of superluminal neutrinos and a corresponding incompleteness of GR (and allowance to violate Lorenz Invariance?) lend some "updraft" to other QG theories like LQG, spin foams, spin networks etc or even provide some positive hint of them?

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Take it to chat, please. The site is not well served by numerous subtly distinguished duplicates when the odds are this all blows over in a few months. –  dmckee Sep 23 '11 at 18:25
@dmckee What I wanted to know is NOT addressed neither in any of the others similar questions nor in the corresponding answers and discussions. So can I edit and try again or is it completely pointless? –  Dilaton Sep 24 '11 at 14:11
I've asked the other mod to review my actions. My position would be that every modern theory needs tearing up and rebuilding from the ground, so the impact is the same on them all, but perhaps the theorists feel differently. –  dmckee Sep 24 '11 at 14:33
@dmckee Ok thanks, Im very interested in what different theorists have to say (this was the goal of my question). And I exchanged a tag; I mixed up general physics and general relativity. What I wanted to attach was general relativity of course ... –  Dilaton Sep 24 '11 at 14:56
I think it's fine to have a question that focuses on quantum gravity specifically, especially now that the news is no longer immediately current. There's a lot of physics that has been more-or-less directly confirmed by measurement, so even if relativity breaks, we wouldn't necessarily have to start from scratch with everything. –  David Z Sep 24 '11 at 20:04
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## 1 Answer

For this post I will assume that the observation of neutrinos faster than light is accurate and not further mention this assumption below.

Of the particles whose speeds have been accurately measured, the neutrino is unique in that it does not participate in electromagnetic interactions. The graviton also does not participate in electromagnetic interactions and so we might expect its velocity to also exceed that of light. This has immediate impact on quantum gravity and would open up a wide range of new theories.

Since neutrinos can be used to send a signal, their moving faster than light destroys the relationship between causality and arbitrary reference frames which forms an important part of the special theory of relativity. To get causality to function again, we have to choose one reference frame as the preferred one and then let that reference frame define causality for all others. This variation of the special theory of relativity is sometimes called "Lorentzian Relativity" or "neo-Lorentzian Relativity" or "Lorentz Ether Theory", and has been explored by fringe physicists for most of the last 100 years.

The presence of a preferred reference frame in the special theory of relativity implies that one must also be present in general relativity. This makes theories that assume a "background metric" more interesting. Of such theories, my favorite is the one found by the Cambridge Geometric Algebra Research Group. For example, see Gravity, Gauge Theories and Geometric Algebra, Anthony Lasenby, Chris Doran, Stephen Gull, Phil. Trans. R. Soc. Lond. A 356, 487-582 (1998). This theory gives the observable predictions of GR exactly, but avoids wormholes and other topological things as it is built on a flat background metric. Rather than tensors, it uses the gamma matrices used in the rest of particle physics.

In terms of the damage to relativity as compared to the damage to quantum mechanics, an accepted observation of superluminal neutrinos would be more damaging to relativity. So I would think that the general effect on quantum gravity would be to make it more quantum and less (traditional) gravity.

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Thanks, this looks interesting +1, I will look at these papers. –  Dilaton Sep 27 '11 at 20:33
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