Non-relativistic model of the laws of gravity and electromagnetism, invariant under the change of inertial and non-inertial coordinate systems

TL;DR

This paper proposes a non-relativistic model of gravity and electromagnetism that remains invariant under all Cartesian coordinate transformations, including non-inertial frames, and extends this invariance to non-relativistic quantum mechanics.

Contribution

It introduces a non-relativistic framework that maintains invariance of physical laws under all Cartesian coordinate changes, inspired by principles from General Relativity.

Findings

Laws of gravity and electromagnetism are invariant under non-inertial transformations.

Non-relativistic quantum mechanics laws are also invariant in this model.

The model unifies classical and quantum invariance principles in non-relativistic physics.

Abstract

Under the classical non-relativistic consideration of the space-time we propose the model of the laws of gravity and Electrodynamics, invariant under the galilean transformations and moreover, under every change of non-inertial cartesian coordinate system. Being in the frames of non-relativistic model of the space-time, we adopt some general ideas of the General Theory of Relativity, like the assumption of invariance of the most general physical laws in every inertial and non-inertial coordinate system and equivalence of factious forces in non-inertial coordinate systems and the force of gravity. Moreover, in the frames of our model, we obtain that the laws of Non-relativistic Quantum Mechanics also invariant under the change of inertial or non-inertial cartesian coordinate system.