Observable effect of quantized cylindrical gravitational waves

TL;DR

This paper demonstrates that quantum effects of cylindrical gravitational waves can be observed at cosmological distances, revealing a measurable relation between wave quantum properties and detector response.

Contribution

It introduces a model for detecting quantum effects of cylindrical gravitational waves and derives a relation between quantum fluctuations and source distance, highlighting observable quantum phenomena.

Findings

Quantum effects detectable above Planck scale at cosmological distances

Dissipative term absent at first order due to cylindrical symmetry

Derived relation between detector's distance fluctuation and source distance

Abstract

We investigate the response of a model gravitational wave detector consisting of two particles to the quantized cylindrical gravitational waves and obtain a relation between the standard deviation of the distance between two particles and the distance from the source to the detector. It is found that the quantum effect carried by the cylindrical gravitational wave can be observed above Planck scale even though the source is as far as the cosmological horizon. The equation of motion for the change of the distance between two particles is obtained when the cylindrical gravitational waves pass. It is surprising that the dissipative term does not exist up to the first order approximation due to cylindrical symmetry of the gravitational wave.