Equivalence principle in context of large uniform acceleration - a quantum mechanical perspective

TL;DR

This paper investigates how large uniform acceleration affects the weak equivalence principle in quantum mechanics, revealing significant differences in quantum particle behavior and energy levels in noncommutative space scenarios.

Contribution

It provides a quantum mechanical analysis of the equivalence principle under large acceleration and explores effects of spatial noncommutativity on quantum particles.

Findings

Quantum behavior differs between accelerated frames and gravitational fields.

Spatial noncommutativity alters energy eigenvalues at high accelerations.

Large acceleration impacts quantum particles beyond classical expectations.

Abstract

We study the effect of large acceleration of an uniformly accelerated frame on the validity of weak equivalence principle. Specifically we demonstrate how the behaviour of free quantum particle, as observed by an observer with large uniform acceleration, completely changes from that of a quantum particle emmarsed in a uniform gravitational field. We also extend our analysis to the simplest noncommutative space scenario to show that while spatial noncommutativity does not affect the quantum particle in a gravitational field, it does alter the energy eigenvalues of a quantum particle as seen from a frame with very large uniform acceleration.