Planck scale displacement of a connected mirror pair: an energy measurement in a gravitational field

TL;DR

This paper proposes a method to measure Planck-scale displacements using a freely falling mirror pair, linking quantum reflection phenomena with gravitational effects through harmonic motion analysis.

Contribution

It introduces a novel approach to detect Planck-scale displacements via energy measurements in a gravitational field using a connected mirror pair.

Findings

Displacement of order the Planck length can be inferred from particle reflection.

The relationship between wave-particle duality and gravitational displacement is elucidated.

Harmonic motion analysis reveals the quantum-gravity interaction at small scales.

Abstract

Reflection of a particle from a mirror pair that is fixed to a platform which falls freely in a gravitational field is shown to infer displacement of the center of mass of this platform of order the Planck length. This displacement and its relationship to the wave and particle nature of reflection in such an energy measurement is elucidated using harmonic motion of the mirror pair.