Wave Mechanics and C-equivalence

TL;DR

This paper proposes that de Broglie's wave is not a wave in space but a system defining local units of measurement, with C-equivalence offering a framework for its mathematical and physical interpretation.

Contribution

It introduces the concept that de Broglie's wave determines a local system where Special Relativity holds, using C-equivalence as a foundational framework.

Findings

De Broglie's wave defines a local measurement system.

C-equivalence provides a natural framework for interpretation.

The approach aligns wave mechanics with local relativistic systems.

Abstract

We establish that de Broglie's wave, as it is introduced in his Thesis, is not a wave on a given space, but on the contrary itself determines a system in which Special Relativity is locally valid. This local system is a physical object, that defines its own units of length and time. C-equivalence provides a natural framework both for its mathematical description and its physical interpretation.