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stglyde said:After writing this. It slowly dawns on me there is indeed such thing. It's Lorentz Ether Theory which occurs in the backdrop of absolute space and time... just like how you can model massless spin-2 field on flat spacetime. You can actually take one step backward... LET field on absolute space and time! Now how do you connect gravity to Newtonian. There is one. It's called General Lorentz ether theory applied to Newtonian space and time! And all this appears not to be falsifiable! Is this 100% such that no experiment ever will distinguish them??
LET has absolute space and time in the sense that it is physics in a preferred frame (an inertial frame). LET, however, still has Lorentz invariance, not Galilean invariance. GR/massless spin-2 fields also have Lorentz invariance. Is it possible to find a theory of gravity which is well-approximated as a Lorentz invariant spin-2 field at low energies, but which has Galilean invariance at high energies? At present, no such theory has been discovered. There are, however, non-gravitational theories which have Galilean invariance at high energies and Lorentz invariance at low energies: http://www.nature.com/nature/journal/v438/n7065/abs/nature04233.html.
stglyde said:Ok.
Say. Can you think of an experimental setup that we average person can afford that can test for local lorentz invariance? Like some electronics apparatus that can be modified to become sensors for a rough test of orientation and boost lorentz symmetry or CPT symmetry? Think and brainstorm for an hour then please share. Thanks.
Test Maxwell's equations (which have Lorentz symmetry). In particular test that the speed of light is as predicted by Maxwell's equations: http://www.physics.umd.edu/icpe/newsletters/n34/marshmal.htm (I've never tried this, I'd be interested to know if it really works).
There is also what is commonly advertised as a test of length contraction by measuring the magnetic field due to a current: http://physics.weber.edu/schroeder/mrr/MRRtalk.html.
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