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Derivation of the Relativistic Doppler Shift and Mass-Increase Formulas Without Assuming Special Relativity

Milo M. Wolff
Year: 1997
Keywords: Special Relativity, Doppler Effect, Mass Increase
It is shown that the relativistic Doppler shift and mass-increase formulas can be derived solely from the conservation laws and the assumption of symmetry between a wave source and a wave receiver which have no preferred frame of motion. The Lorentz transformation is not required.

This simple result has great significance for the philosophy of physics because it makes a clear separation between the experimentally prover) Doppler effect and mass increase, and the controversial length and time changes. It adds further experimental evidence of the wave structure of matter.

Not surprisingly, the origins of relativity are found in the quantum behavior of matter and the way in which energy (light) is exchanged between two charged particles (wave resonances). The relativistic mass increase is a result of the Doppler changes of frequency of the advanced and retarded spherical waves from the electron. These spherical waves produce the correct mass increase, regardless of whether the two electrons are moving together or apart. This unusual combined Doppler change results from the symmetry of the advanced and retarded waves. This mechanism is also responsible for the de Broglie wavelength, also in direction of relative electron motion.