Compact Time and Determinism for Bosons: foundations

TL;DR

This paper explores classical bosonic fields with imposed periodicities, leading to a quantized energy spectrum and dynamics that resemble quantum field theory, suggesting a classical foundation for quantum phenomena.

Contribution

It introduces a classical framework for bosonic fields with de Broglie periodicities, connecting classical periodicity constraints to quantum-like spectra and dynamics.

Findings

Periodic constraints lead to quantized energy spectra.

Classical dynamics exhibit quantum field theory features.

Framework respects causality and special relativity.

Abstract

Free bosonic fields are investigated at a classical level by imposing their characteristic de Broglie periodicities as constraints. In analogy with finite temperature field theory and with extra-dimensional field theories, this compactification naturally leads to a quantized energy spectrum. As a consequence of the relation between periodicity and energy arising from the de Broglie relation, the compactification must be regarded as dynamical and local. The theory, whose fundamental set-up is presented in this paper, turns out to be consistent with special relativity and in particular respects causality. The non trivial classical dynamics of these periodic fields show remarkable overlaps with ordinary quantum field theory. This can be interpreted as a generalization of the AdS/CFT correspondence.