de Broglie waves as the "Bridge of Becoming" between quantum theory and relativity

TL;DR

This paper proposes that de Broglie matter waves serve as a dynamic foundation linking quantum mechanics and relativity, suggesting spacetime emerges from quantum phenomena and challenging its fundamental status.

Contribution

It introduces a relational account where de Broglie waves underpin spacetime's emergence, integrating quantum and relativistic concepts in a novel framework.

Findings

Spacetime is emergent from quantum de Broglie waves.

Relativity of simultaneity arises from de Broglie oscillations.

Time is not an applicable concept at the quantum level.

Abstract

It is hypothesized that de Broglie's 'matter waves' provide a dynamical basis for Minkowski spacetime in an antisubstantivalist or relational account. The relativity of simultaneity is seen as an effect of the de Broglie oscillation together with a basic relativity postulate, while the dispersion relation from finite rest mass gives rise to the differentiation of spatial and temporal axes. Thus spacetime is seen as not fundamental, but rather as emergent from the quantum level. A result by Solov'ev which demonstrates that time is not an applicable concept at the quantum level is adduced in support of this claim. Finally, it is noted that de Broglie waves can be seen as the "bridge of becoming" discussed by Elitzur and Dolev (2005).