Two particle entanglement and its geometric duals

TL;DR

This paper reveals a duality between two-particle entanglement in quantum mechanics and classical conformally stretched spacetime, linking quantum equations to geometric structures like Finsler geometry and translating strongly coupled quantum systems into weakly coupled geometric equations.

Contribution

It introduces a novel duality connecting entangled quantum particles with classical geometric theories, specifically conformal spacetime and Finsler geometry.

Findings

Dual description of entangled particles in classical conformal spacetime

Connection between quantum equations and Finsler geometry

Translation of strongly coupled quantum equations to weakly coupled geometric equations

Abstract

We show that for a system of two entangled particles, there is a dual description to the particle equations in terms of classical theory of conformally stretched spacetime. We also connect these entangled particle equations with Finsler geometry. We show that this duality translates strongly coupled quantum equations in the pilot-wave limit to weakly coupled geometric equations.