# Polymer quantization and advanced gravitational wave detector

## TL;DR

This paper explores how Planck scale effects, modeled via polymer quantization of the optical field, could influence measurements in advanced gravitational wave detectors, revealing potential observable quantum gravitational signatures.

## Contribution

It introduces a novel polymer quantization approach for the optical field in gravitational wave detectors and compares its predictions with standard quantum and GUP corrections.

## Key findings

- Polymer quantization alters radiation pressure fluctuations.
- Modified operators lead to different photon number statistics.
- Results suggest potential observable quantum gravitational effects.

## Abstract

We investigate the observable consequences of Planck scale effects in the advanced gravitational wave detector by polymer quantizing the optical field in the arms of the interferometer. We construct a new set of polymer-modified creation and annihilation operators to quantize the optical field. Employing these polymer-modified operators, we obtain the fluctuations in the radiation pressure on the end mirrors and the number of output photons. We compare our results with the standard quantization scheme and corrections from the Generalized Uncertainty Principle.