An ontological description for relativistic, massive bosons

TL;DR

This paper presents an ontological framework for relativistic, massive bosons, showing that their quantum behavior can be described by a purely geometric, particle-based model with local properties, bridging classical and quantum descriptions.

Contribution

It introduces an ontological description of relativistic bosons, demonstrating that quantum dynamics can be represented by a geometric, particle system with local properties, even including mass effects.

Findings

Quantum and classical equations coincide mathematically.

Locality is maintained in both quantum and classical treatments.

The approach offers a basis for real-time quantum simulations.

Abstract

Relativistic, scalar particles are considered, contained in a box with periodic boundary conditions. Although interactions are not expected to be a fundamental problem, we concentrate on free particles. By considering them to be harmonic oscillators, it is found that their dynamical variables can be replaced by a completely ontological set, which means that, here, quantum mechanics does not deviate from a purely geometric, ontological particle system. The effects of the mass terms are included. Locality holds for the quantum theory, and seems to be fully obeyed also by the classical treatment, although further discussion will be needed. Quantised interactions are briefly speculated on, but mostly postponed to later. We do discuss extensively the distinction between the quantum treatment and the classical one, even though they produce exactly the same equations mathematically. We briefly explain how this result can be squared with the usual quantum no-go theorems. It is suggested to apply this theory for real time quantum model simulations.