Testing for Anisotropy of Space via an Extension of Special Relativity

Details Testing for Anisotropy of Space via an Extension of Special Relativity Testing for Anisotropy of Space via an Extension of Special Relativity

2011-10-26

arxiv.org/abs/1111.4423v1

Physics

Classical Physics

Scientific paper

In special relativity, testing for spatial anisotropy usually means testing for anisotropic propagation of light. This paper explores a different possibility, in which light is still assumed to propagate isotropically in all frames with an invariant speed, yet other physical effects exhibit a direction dependence. If spatial isotropy is not assumed in the derivation of the coordinates transformations, the resulting equations differ from the Lorentz relations by an additional factor $(\dfrac{c - v}{c + v})^{\kappa}$, where $\kappa$ is the anisotropy exponent, which depends on the direction chosen as the x-axis. Time dilation and length contractions become direction dependent. The anisotropy exponent is frame-independent, so no preferred isotropic frame exists if $\kappa$ is non-vanishing. The Doppler shift can be used to measure this exponent and determine experimentally the degree of anisotropy our universe actually possesses.

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