Quantum Dynamical Relativity and the Nature of Spacetime

TL;DR

This paper proposes a quantum dynamical framework to derive special relativity from within a single inertial frame, using matter waves, aiming to provide elementary foundations and address philosophical debates on spacetime geometry.

Contribution

It introduces a quantum dynamical approach based on matter waves to reconstruct special relativity from within a single frame, enhancing its foundational understanding.

Findings

Demonstrates derivation of relativity principles using quantum matter waves

Provides a new perspective on the Minkowski spacetime geometry

Resolves philosophical disputes about spacetime structure

Abstract

Einstein's special theory of relativity starts with assumptions about how observations conducted in relatively moving inertial frames must compare. From these assumptions, conclusions can be drawn regarding the laws of physics in any one frame. Can we do the reverse, that is, build the correct physics entirely from considerations within a single frame and infer therefrom the results of measurements in moving frames? Can we, in this project, supply the "elementary foundations" that Einstein found lacking in his own theory, thereby converting special relativity from (in Einstein's terminology) a "principle" theory to a "constructive" one? Expanding on the approach suggested by Johns S. Bell, this paper demonstrates that we can progress toward those goals via the introduction of elementary quantum concepts, particularly the idea of matter waves (deBroglie waves) that was unknown to Einstein in 1905. This quantum dynamical approach offers to resolve a recent dispute in philosophy of physics regarding the Minkowski geometry of spacetime.