How to explain the Michelson-Morley experiment in ordinary 3-dimensional space

TL;DR

This paper proposes a new theory explaining the Michelson-Morley experiment within ordinary 3D space by defining local inertial frames through gravitational, momentum, and force potentials, challenging the fundamental nature of Lorentz invariance.

Contribution

It introduces a novel approach that explains the Michelson-Morley experiment without assuming Lorentz invariance as fundamental, using potentials to define local inertial frames in 3D space.

Findings

Lorentz invariance emerges as a consequence, not a fundamental principle.

The theory decouples space and time, providing an alternative explanation.

It retains Maxwell's equations' Lorentz invariance without requiring other laws to be invariant.

Abstract

The Michelson-Morley experiment led Einstein to introduce the concept of spacetime and to propose that all of the laws of physics are Lorentz invariant. However, so far only the Lorentz invariance of electromagnetism has been convincingly confirmed. I would like to propose a new way to explain the Michelson-Morley experiment that retains the Lorentz invariance of Maxwell's equations without requiring the other laws of physics to be Lorentz invariant. In this new theory Lorentz invariance is not fundamental, but instead is simply a consequence of the fact that Maxwell's equations are incomplete because they lack a way to define local inertial reference frames. This new theory explicitly defines 3-dimensional local inertial reference frames in terms of the gravitational potential $\VG{}$ along with a momentum potential $\VP{}$ and a force potential $\VF{}$. This new theory decouples space and time, and explains the Michelson-Morley experiment in ordinary 3-dimensional space.