Nonadditive entropy of the gravitational wave signal from GW150914

TL;DR

This paper analyzes the GW150914 gravitational wave signal, revealing it exhibits nonadditive entropy and evolves with Tsallis indices, indicating non-extensive behavior in black hole mergers and proposing these indices as parameters for identifying dominant frequencies.

Contribution

It demonstrates that gravitational wave data from GW150914 follow nonadditive entropy and introduces Tsallis indices as key statistical parameters for analyzing black hole coalescence.

Findings

Gravitational wave data obey nonadditive entropy.

Tsallis indices characterize the wave's dynamics.

Indices help identify the dominant frequency.

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 a nonadditive entropy, and its dynamics evolve with the three associated Tsallis indices named q-triplet. This fact strongly suggests that these black hole merger systems behave in a non-extensive framework. Furthermore, our results point out that the entropic indexes obtained as a function of frequency are proper statistical parameters to determine the dominant frequency when black hole coalescence is achieved.