LIGO series, dimension of embedding and Kolmogorov's complexity
Marcelo Kovalsky, Alejandro Hnilo
TL;DR
This paper applies Takens' embedding dimension and Kolmogorov complexity spectrum to LIGO GW150914 data, providing new tools for identifying gravitational wave signals through nonlinear dynamical analysis.
Contribution
It introduces the use of Takens' dimension and Kolmogorov complexity spectrum as novel analytical tools for gravitational wave data interpretation.
Findings
Increase in Takens' embedding dimension during GW150914
Drop in Kolmogorov complexity spectrum during GW150914
Methods support identifying signals of cosmological interest
Abstract
The interpretation of the series recorded by the Laser Interferometer Gravitational Wave Observatory is a very important issue. Naturally, it is not free of controversy. Here we apply two methods widely used in the study of nonlinear dynamical systems, namely, the calculation of Takens' dimension of embedding and the spectrum of Kolmogorov's complexity, to the series recorded in event GW150914. An increase of the former and a drop of the latter are observed, consistent with the claimed appearance of a gravitational wave. We propose these methods as additional tools to help identifying signals of cosmological interest.
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