Finslerian Extension of Special Relativity and the Possibility of Experimental Search for Local Space Anisotropy
The transverse Doppler effect is investigated in relation to local space anisotropy. Two types of laboratory experiments are proposed for finding and measuring local space anisotropy. All of these experiments are “null-experiments” in terms of traditional special relativity, which treats 3D space as locally isotropic. The Mossbauer effect is used to measure a possible Doppler shift of frequency, with the Mossbauer source and absorber located at two identical and diametrically opposed distances from the centre of a rapidly rotating rotor, and the -quanta being recorded by two stationary and oppositely positioned proportional counters. Only those -quanta that passed through the absorber at the time of the latter’s passage near a counter are recorded by any of the counters. For the second type of experiment, advanced radio physics techniques are used to generate monochromatic oscillations and record weak signals. The frequency modulation of harmonic oscillations arriving from a receiver rotating at a constant velocity around the monochromatic wave emitter is the effect expected owing to spatial anisotropy. In this case, the modulation depth is proportional to the magnitude of the space anisotropy.
G. Yu. Bogoslovsky
Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia