Special Relativity and possible Lorentz violations consistently coexist in Aristotle space-time

TL;DR

This paper demonstrates that in Aristotle space-time, Lorentz invariance can coexist with Lorentz violations, providing a consistent framework that aligns with quantum measurement interpretations and physical symmetries.

Contribution

It introduces Aristotle space-time as a geometrical framework where Lorentz invariance and violations coexist, and derives Lorentz transformations from physical hypotheses within this setting.

Findings

Lorentz invariance can coexist with Lorentz violations in Aristotle space-time.

Aristotle space-time is necessary to derive Lorentz transformations from physical hypotheses.

The framework resolves conflicts between quantum measurement non-locality and preferred frame hypotheses.

Abstract

Some studies interpret quantum measurement as being explicitly non local. Others assume the preferred frame hypothesis. Unfortunately, these two classes of studies conflict with Minkowski space-time geometry. On the contrary, in Aristotle space-time, Lorentz invariance, interpreted as a physical property applying to all phenomena actually satisfying this symmetry (as opposed to a geometrical constraint applying to an assumed pre-existing Minkowski space-time) consistently coexists with possible Lorentz violations. Moreover, as will be pointed out, the geometrical framework provided by Aristotle space-time is in fact necessary to derive the Lorentz transformations from physical hypotheses.