An alternative to relativistic transformation of special relativity based on the first principles

TL;DR

This paper introduces a new relativistic transformation based on first principles, transforming physical quantities to maintain invariance, potentially resolving conflicts between special relativity and quantum theory.

Contribution

It proposes a differential Lorentz transformation derived solely from the principles of relativity and light speed invariance, offering a novel approach to relativistic transformations.

Findings

Formulates a new differential Lorentz transformation.

Maintains invariance of physical laws under transformation.

Suggests potential reconciliation of relativity and quantum theory.

Abstract

A new relativistic transformation in the velocity space (here named the differential Lorentz transformation) is formulated solely from the principle of relativity and the invariance of the speed of light. The differential Lorentz transformation is via transforming physical quantities, instead of space-time coordinates, to make laws of nature form-invariant. The differential Lorentz transformation may provide a way to resolve the incompatibility of the theory of special relativity and the quantum theory.