Strong Equivalence Principle in Polymer Quantum Mechanics and deformed Heisenberg Algebra

TL;DR

This paper examines the potential failure of the Strong Equivalence Principle in quantum gravity-inspired models, specifically Polymer Quantum Mechanics and deformed Heisenberg Algebra, finding deviations too small for current experiments.

Contribution

It demonstrates that the SEP fails in these two quantum gravity-inspired models and estimates the magnitude of deviations from the principle.

Findings

SEP fails in Polymer Quantum Mechanics and deformed Heisenberg Algebra

Deviations from SEP are too small for current experimental detection

The study provides bounds on quantum gravity effects on SEP

Abstract

The Strong equivalence Principle (SEP) states that the description of a physical system in a gravitational field is indistinguishable from the description of the same system at rest in an accelerating frame. While this statement holds true in both General Relativity and ordinary Quantum Mechanics, one expects it to fail when quantum gravity corrections are taken into account. In this paper we investigate the possible failure of the SEP in two Quantum Gravity inspired modifications of Quantum Mechanics - Polymer Quantum Mechanics and deformed Heisenberg Algebra. We find that the SEP fails to hold in both these theories. We estimate the deviation from SEP and find in both cases that it is too small to be measured in present day experiments.