A nanoscale window for probing Planck scale phenomena

TL;DR

This paper proposes an experimental method using the Aharonov-Bohm effect in nano-scale rings to detect noncommutative phase space phenomena, potentially providing direct evidence of Planck scale physics.

Contribution

It introduces a novel experimental scheme based on quantum interference to probe noncommutative space, with a value-independent criterion for detection.

Findings

A new criterion for detecting noncommutative phase space effects.

The scheme relies on trend analysis of persistent current data.

Potential to observe Planck scale phenomena experimentally.

Abstract

The noncommutative space provides a framework to understand phenomena in Planck scale physics. However, there is no any direct experimental evidence to demonstrate the existence of noncommutative space. We propose an experimental scheme based on the Aharonov-Bohm effect in the nano-scale quantum mechanics to probe the phenomena in the noncommutative phase space. By the Seiberg-Witten map, the free electrons of the nano-scale ring in noncommutative phase space can be mapped equivalently to the quantum mechanical (Heisenberg's algebra) phase space with an extra effective magnetic flux. We introduce two variables related to the persistent current in the ring to probe the noncommutative phase space effect. We give a value-independent criterion to detect the existence of the noncommutative phase space. Namely the answer for existence or nonexistence of the noncommutative phase space depends only on the trend of the curves, rather than the values of the observation data. It can be expected to catch the noncommutative phase-space effect by this scheme.