Quantum mechanics as an approximated model: A geometrodynamical approach

TL;DR

This paper proposes a geometrodynamical framework suggesting quantum mechanics is an approximate model of nature at microscopic scales, derived from non-local geometrodynamics and superoscillations.

Contribution

It introduces a novel approach deriving quantum mechanics from non-local geometrodynamics using superoscillations, linking geometry and quantum wavefunctions.

Findings

Quantum mechanics can be derived from non-local geometrodynamics.

Superoscillations help map particle metrics to quantum wavefunctions.

Quantum mechanics is an approximation, not a fundamental theory.

Abstract

In this paper, we discuss a geometrodynamical approach to particle physics, in which quantum mechanics is no more than an approximated model of nature in the microscopic scale. We derive quantum mechanics from the concept of non-local geometrodynamics. Using the concept of superoscillations, we obtain the metric of the particles, which allows mapping this metric into the quantum wavefunction representation.