Intrinsic Lorentz violation in Doppler effect from a moving point light source
arXiv:1007.0980
Abstract
Einstein's Doppler formula is not applicable when a moving point light source is close enough to the observer; for example, it may break down or cannot specify a determinate value when the point source and the observer overlap. In this paper, Doppler effect for a moving point light source is analyzed, and it is found that the principle of relativity allows the existence of intrinsic Lorentz violation. A conceptual scheme to experimentally test the point-source Doppler effect is proposed, and such a test could lead to an unexpected result that the frequency of a photon may change during propagation, which questions the constancy of Planck constant since the energy conservation in Einstein's light-quantum hypothesis must hold.
Eqs. (C2) and (C3) are added in Appendix C (on p. 6) to evaluate modifications of Planck constant for a moving point source, and Eqs. (III-6,7,8) are added in Attachment-III (on p. 14) for unit wave vector in lab frame. 7 figures, 14 pages