de Broglie Deterministic Dice and emerging Relativistic Quantum Mechanics

TL;DR

This paper proposes a semi-classical, geometrical approach to quantum mechanics based on intrinsic periodicity, offering new insights into quantum behavior, interactions, and their relation to general relativity and Maldacena's conjecture.

Contribution

It introduces a novel semi-classical, geometrical framework for quantum mechanics derived from intrinsic periodicity, connecting quantum behavior with general relativity and holographic principles.

Findings

Quantum behavior can be derived from intrinsic periodicity.

Geometrodynamical interactions provide an intuitive interpretation of Maldacena's conjecture.

The approach unifies quantum mechanics and gravity concepts.

Abstract

Generalizing de Broglie's hypothesis, we show that the basic quantum behavior of ordinary field theory can be retrieved in a semi-classical and geometrical way from the assumption of intrinsic periodicity of elementary systems. The geometrodynamical description of interactions that arises in from this approach provides an intuitive interpretation of Maldacena's conjecture and it turns out to be of the same type of the one prescribed by general relativity.