Generalized Lorentz Transformations

TL;DR

This paper proposes a generalized form of Lorentz transformations that depend on observer mass, maintaining light speed invariance and suggesting new ways to test relativistic effects like Doppler shifts.

Contribution

It introduces a novel generalization of Lorentz transformations incorporating observer mass, which preserves light speed invariance and impacts Doppler shift predictions.

Findings

Velocity addition formula preserves light speed for all observers

Doppler red shift is modified, enabling potential experimental tests

Transformations depend on the observer's mass, extending special relativity

Abstract

Generalized Lorentz transformations with modified velocity parameter are considered. Lorentz transformations depending on the mass of the observer are suggested.The modified formula for the addition of velocities remarkably preserves the constancy of the velocity of light for all observers. The Doppler red shift is affected and can provide a test of such generalisations.