The Theory of Stochastic Space-Time. II. Quantum Theory of Relativity

TL;DR

This paper develops a stochastic model of spacetime based on Nelson's mechanics, integrating relativity principles to explain quantum phenomena as manifestations of underlying stochasticity.

Contribution

It introduces a stochastic spacetime framework derived from physical principles, linking Nelson's quantum mechanics with relativity and device transformations.

Findings

Quantum mechanics arises from stochastic spacetime principles.

The unitary group is represented through device transformation systems.

Spacetime's stochastic nature underpins quantum behavior.

Abstract

The Nelson stochastic mechanics is derived as a consequence of the basic physical principles such as the principle of relativity of observations and the invariance of the action quantum. The unitary group of quantum mechanics is represented as the transformations of the systems of perturbing devices. It is argued that the physical spacetime has a stochastic nature, and that quantum mechanics in Nelson's formulation correctly describes this stochasticity.