Multiscale structure of the gravitational wave signal from GW150914 based on the nonextensivity $q$-triplet

TL;DR

This paper analyzes GW150914's gravitational wave signal using nonextensive statistical mechanics, revealing that its dynamics follow a Tsallis $q$-distribution and that entropic indices can identify the dominant frequency during black hole merger.

Contribution

It introduces a novel application of the Tsallis $q$-triplet to characterize gravitational wave signals from black hole mergers.

Findings

The GW150914 signal obeys Tsallis's $q$-Gaussian distribution.

The $q$-triplet indices evolve with frequency, indicating non-extensive behavior.

Entropic indices help determine the dominant frequency during coalescence.

Abstract

We study the first gravitational wave, GW150914, detected by advanced LIGO and constructed from the data of measurement of strain relative deformation of the fabric of spacetime. We show that the time series from the gravitational wave obeys Tsallis's $q$-Gaussian distribution as a probability density and its dynamics evolve of the three associated Tsallis' indices named $q$-triplet. This fact strongly suggests that these black hole merger systems behave in a non-extensive manner. Furthermore, our results point out that the entropic indexes obtained as a function of frequency are useful statistical parameters to determine the dominant frequency when black hole coalescence is achieved.