# Symmetry Breaking Study with Deformed Ensembles

## TL;DR

This paper introduces a random matrix model to analyze symmetry breaking in physical systems, specifically applying it to eigenfrequency data of an anisotropic quartz block to identify intrinsic symmetries.

## Contribution

It develops a new random matrix framework for symmetry breaking and demonstrates its application to real-world vibrational data, aiding symmetry detection.

## Key findings

- Effective modeling of m-fold symmetry coupling
- Application to eigenfrequency data of quartz
- Potential to identify intrinsic symmetries

## Abstract

A random matrix model to describe the coupling of m-fold symmetry in constructed. The particular threefold case is used to analyze data on eigenfrequencies of elastomechanical vibration of an anisotropic quartz block. It is suggested that such experimental/theoretical study may supply powerful means to discern intrinsic symmetries in physical systems.