Non-Hermitian Gravitational Wave Scattering

TL;DR

This paper explores the non-Hermitian properties of gravitational waves, analyzing their behavior at spectral singularities and demonstrating a match between theoretical predictions and observed measurements, highlighting their significance in gravitational physics.

Contribution

It introduces a novel analysis of gravitational waves using non-Hermitian scattering theory and spectral singularities, linking theoretical models with observational data.

Findings

Frequency values at spectral singularities match Hubble constant measurements

Non-Hermitian characteristics are significant in gravitational wave behavior

Spectral singularities influence gravitational wave properties

Abstract

In this study, the non-Hermitian scattering of gravitational waves is examined, and their behavior at spectral singularities is discussed. We investigate the non-Hermitian properties of gravitational waves through the construction of a transfer matrix. By examining spectral singularity points obtained from the transfer matrix, we explore the behavior of gravitational waves at these spectral singularity points and compare the theoretical results with observed measurements. Our findings demonstrate that the frequency values of gravitational waves measured on Earth at spectral singularity points exhibit perfect agreement with the corresponding Hubble constant values. This alignment underscores the significance of the non-Hermitian characteristics of gravitational waves. We anticipate that this research will contribute to a deeper understanding of the role of non-Hermitian phenomena in gravitational physics and provide a foundation for future studies in the field.