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Name of general relativity symmetry 
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#1
Nov1312, 04:15 PM

P: 390

People seem to be seriously looking for "Lorentz violating" neutrino oscillations  meaning direct violation of special relativity.
What is a short name for the symmetry that distinguishes general relativity from special (the symmetry between acceleration and gravity)? 


#2
Nov1312, 06:40 PM

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PF Gold
P: 5,091

So far as I know, neutrino oscillations that violate SR also violate GR. It might help if you have a reference to the searches you are discussing. [You often hear that GR is diffeomorphism invariant. But so is SR. Further, event Newtonian gravity can be expressed in a way that is diffeomorphism invariatn  see NewtonCartan theory.] 


#3
Nov1412, 07:47 AM

Mentor
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#4
Nov1412, 09:33 AM

P: 390

Name of general relativity symmetry
What would be the term for phenomena which violate the symmetry between gravity and acceleration? 


#5
Nov1412, 10:31 AM

Sci Advisor
PF Gold
P: 5,091

It is not an exact principle, without a bunch of qualification (locality of measurement and locality of interaction and not measuring second derivatives of certain quantities). An example of global interaction is a charged body interacting with its distant field. This distinguishes a charge sitting on a gravitating body (doesn't radiate) from a uniformly accelerating charge (does radiate). [There is some controversy on this, but this is the consensus opinion.] Another, is where gravitational radiation comes into play. The 'type' of measurement comes into play because curvature does not vanish even at one point; so certain types of devices (theoretical, mostly) could distinguish uniform acceleration from gravity on any scale, however, small. One way around this is to say that acceleration is indistinguishable from 'uniform gravity' which doesn't really exist except as a limit. In any case, a violation of the principle of equivalence outside of these known limitations would be a major discovery. 


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