Unravelling Lorentz Covariance and the Spacetime Formalism

TL;DR

This paper uncovers an exact mapping linking Galilean and Minkowski coordinates, revealing that Lorentz covariance aligns with a dynamical 3-space concept, challenging traditional spacetime views and supporting an extended gravity theory validated by experiments.

Contribution

It introduces a novel exact mapping between Galilean and Minkowski coordinates, highlighting the role of a dynamical 3-space in Lorentz covariance and gravity.

Findings

Lorentz covariance arises from non-physical coordinate choices.

A dynamical 3-space underpins extended gravity theories.

Experimental evidence supports the existence of this 3-space.

Abstract

We report the discovery of an exact mapping from Galilean time and space coordinates to Minkowski spacetime coordinates, showing that Lorentz covariance and the spacetime construct are consistent with the existence of a dynamical 3-space, and "absolute motion". We illustrate this mapping first with the standard theory of sound, as vibrations of a medium, which itself may be undergoing fluid motion, and which is covariant under Galilean coordinate transformations. By introducing a different non-physical class of space and time coordinates it may be cast into a form that is covariant under "Lorentz transformations" wherein the speed of sound is now the "invariant speed". If this latter formalism were taken as fundamental and complete we would be lead to the introduction of a pseudo-Riemannian "spacetime" description of sound, with a metric characterised by an "invariant speed of sound". This analysis is an allegory for the development of 20th century physics, but where the Lorentz covariant Maxwell equations were constructed first, and the Galilean form was later constructed by Hertz, but ignored. It is shown that the Lorentz covariance of the Maxwell equations only occurs because of the use of non-physical space and time coordinates. The use of this class of coordinates has confounded 20th century physics, and resulted in the existence of a "flowing" dynamical 3-space being overlooked. The discovery of the dynamics of this 3-space has lead to the derivation of an extended gravity theory as a quantum effect, and confirmed by numerous experiments and observations.