Interference effects and modified Born rule in the presence of torsion

TL;DR

This paper explores how torsion fields in materials with topological defects affect quantum interference, revealing measurable corrections and discussing the implications for the probabilistic interpretation of quantum mechanics.

Contribution

It introduces a perturbative method to analyze wave function modifications due to torsion, linking geometric defects to quantum interference effects.

Findings

Interference pattern corrections of about 0.1 Angstrom predicted

Perturbative approach applied to torsion-modified Schroedinger equation

Effective geometric model supports probabilistic interpretation despite nonunitarity

Abstract

The propagation of nonrelativistic excitations in material media with topological defects can be modeled in terms of an external torsion field modifying the Schroedinger equation. Through a perturbative approach, we find a solution for the wave function which gives corrections in the interference patterns of the order of 0.1 Angstrom, for a possible experimental setup at atomic scales. Finally, we demonstrate how this geometric, but effective, approach can indeed accommodate a probabilistic interpretation of the wave function although the perturbative theory is nonunitary.