Quantum dynamics for massless particles in Brinkmann spacetimes

TL;DR

This paper investigates quantum dynamics of massless particles in Brinkmann spacetimes using Eisenhart lift, revealing phenomena like tunneling, entanglement, and potential quantum field theory formulations.

Contribution

It introduces a quantum model based on Eisenhart lift for null geodesics in Brinkmann spacetimes, exploring quantum effects and underlying field theories.

Findings

Spatial tunneling between classically disconnected regions.

Emergence of entangled states due to limited observer access.

Discussion of potential quantum field theory frameworks.

Abstract

In Classical Dynamics, Eisenhart lift connects the dynamics of null geodesics in a Brinkmann spacetime with a continuous family of Hamiltonian systems by means of a suitable projection. In this work we explore the possibility of building a model for quantum dynamics of massless particles propagating inside a Brinkmann spacetime from the Einsenhart lift. As a result, we describe spatial tunneling between regions classically disconnected for certain class of null geodesics because of curvature. Also we describe entangled states arising from observers who have a limited access to the whole Brinkmann space. Finally we explore the possibility to find a quantum field theory behind these quantum phenomena.