Intrinsic Lorentz violation in Doppler effect from a moving point light source

TL;DR

This paper investigates the Doppler effect for a moving point light source, revealing potential intrinsic Lorentz violations and proposing an experiment that could challenge fundamental principles like the constancy of Planck's constant.

Contribution

It introduces the concept of intrinsic Lorentz violation in Doppler effects near point sources and proposes an experimental test to explore this phenomenon.

Findings

Doppler effect may break down near point sources

Photon frequency could change during propagation

Challenges the constancy of Planck's constant

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.