The curvature of the rotating disk and its quantum manifestation

TL;DR

This paper explores the geometry of a rotating disk, its quantum effects, and proposes an experimental method to detect Gaussian curvature through transition frequency measurements.

Contribution

It introduces a quantum perspective on the rotating disk's geometry and suggests a novel way to measure Gaussian curvature quantum mechanically.

Findings

Proposes a method to detect Gaussian curvature via transition frequencies.

Discusses quantum effects related to the geometry of rotating systems.

Provides a quantum analogue of the Newtonian bucket experiment.

Abstract

The geometry of the rotating disk is revisited and the quantum consequences are discussed. A suggestion to detect the presence of the Gaussian curvature on the rotating disk only measuring transition frequencies is made. A quantum equivalent of the Newtonian bucket is considered.