METRIC-QUANTITATIVE RESEARCH OF GRAVITATIONAL WAVE SIGNAL GW170104

Abstract

In this work, we performed the entropy analysis of the complex signal GW170104 from the LIGO Hanford and Livingston detectors.A new function method was also used. Through the interconnection of a purely metric characteristic and a metric-topological characteristic — information-entropy criteria of self-similarity and self-affinity, the laws of dynamic chaos can be quantitatively described. Our proposed metric-topological classification of chaotic processes and objects is confirmed by a physical experiment and analysis of data on the radio emission of the Sun from cosmic disturbances, Earth oscillations. The method used in the article clearly illustrates the appearance of bifurcation. We investigated five examples of gravitational waves with this method. All signals were quantified. At present, the study of gravitational waves and accurate registration are an extremely important topic, since this is the main way to discover the past and future of the Universe. In this article, we processed the GW170104 gravitational wave in the MatLab application environment and determined the evolutionary parameter of the signal that detected the gravitational wave between noises. Using simple computer simulation, it was determined at what point the gravitational wave comes from a complex signal. It has been proven that a gravitational wave is visible only when the noise is small.