Particles as superoscillations of spacetime with a nonlocal metric?

TL;DR

This paper proposes a nonlocal geometric model where particles are represented as superoscillations of spacetime, suggesting a deterministic framework with hidden variables related to mass density, challenging traditional views on matter and spacetime interaction.

Contribution

It introduces a novel nonlocal metric approach to derive particle dynamics as spacetime curvatures, incorporating superoscillatory functions and hidden variables within a deterministic model.

Findings

Particles modeled as superoscillations of spacetime

Nonlocal hidden variable is the mass density of the metric

Model predicts hidden variables are protected by spacetime structure

Abstract

Einstein field equations show how matter curve spacetime, but, does curved spacetime creates matter? And if so, can we have geometrical foundations to every matter in the universe? In this note, we suggest an approach to derive non-general relativistic dynamics of particles as curvatures of spacetime under the assumption of nonlocality. In particular, we examine the possibility that particles are obtained by superoscillatory functions of spacetime. By introducing a metric that has an impact on every point in spacetime, we give a precondition for nonlocality under this ontic model. The model is deterministic and contains a nonlocal hidden variable. This hidden variable is the mass density of the global metric. Due to the uncertainty principle, this hidden variable is hidden in the sense that for getting full information about it one should concentrate energy/momentum in a small volume in spacetime that it will create a black hole which will destroy the mass-density at that particular area. Therefore, it remains hidden by the protection of spacetime itself and its geometric structure.