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

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.

This is a preprint of the following work: Arkady Poliakovsky, "The Laws of Gravity and Electromagnetism: A Non-relativistic Model Invariant Under the Change of Inertial and Non-inertial Coordinate Systems", 2024, Springer Cham, reproduced with permission of Springer Nature Switzerland AG 2024. The final authenticated version is available online at: https://doi.org/10.1007/978-3-031-61407-1