Elementary spacetime cycles

TL;DR

This paper introduces a relativistic formalism where elementary particles are modeled as entities with intrinsic spacetime cycles, providing a unified geometrodynamical framework that derives quantum behaviors from classical relativistic principles.

Contribution

It proposes a novel relativistic theory based on cyclic spacetime dimensions that encodes quantum recurrences and explains gauge interactions through spacetime modulations.

Findings

Derives quantum behavior from relativistic mechanics.

Models gauge interactions as spacetime clock modulations.

Provides a geometrodynamical description linking gravity and quantum phenomena.

Abstract

Every system in physics is described in terms of interacting elementary particles characterized by modulated spacetime recurrences. These intrinsic periodicities, implicit in undulatory mechanics, imply that every free particle is a reference clock linking time to the particle's mass, and every system is formalizable by means of modulated elementary spacetime cycles. We propose a novel consistent relativistic formalism based on intrinsically cyclic spacetime dimensions, encoding the quantum recurrences of elementary particles into spacetime geometrodynamics. The advantage of the resulting theory is a formal derivation of quantum behaviors from relativistic mechanics, in which the constraint of intrinsic periodicity turns out to quantize the elementary particles; as well as a geometrodynamical description of gauge interaction which, similarly to gravity, turns out to be represented by relativistic modulations of the internal clocks of the elementary particles. The characteristic classical to quantum correspondence of the theory brings novel conceptual and formal elements to address fundamental open questions of modern physics.