Abstract

Based on the principle of Equivalence of Gravitating Masses (EGM) and tectonostratigraphic model of the Earth outer shell structure (the Earth crust and upper mantle), the average depth of the lunar mass gravitational influence on the Earth was calculated as ~1600 km. The developed model is based on the mechanism of rocks tectonic layering of the Earth crust-mantle shell as an oscillatory system with dynamic conditions of a standing wave, regularly excited by the lunar tide and immediately passing into the damping mode. After comparing the average depth of solid lunar tide impact of ~1600 km with the height of the solid lunar tide “hump” on the Earth surface of 0.5 m, a “tensile strain” was calculated with an amplitude only one order of magnitude larger than the amplitude of the gravitational wave recorded by the Advanced LIGO interferometer: A≈10-18 m (the merger result of a black holes pair ca 1.3 Ga ago). The results of the present study suggest that the crust-mantle shell of the Earth may be used as a gravitational-wave interferometer.

Highlights

  • One of the 2017 Nobel Prizes was awarded for the creation of a gravity wave detector - an Advanced LIGO interferometer and detection of a gravitational wave with an amplitude of A=10-18 m

  • Assuming that the speed of the gravitational wave is equal to the speed of electromagnetic waves, the source of this wave is located at a distance of R ≈ 1.3 billion light years (≈ 400 MParsecs) from the Earth

  • The order of magnitude of the amplitudes measured by LIGO and calculated gravitational waves practically coincide. Such a coincidence can be considered as a proof of the legitimacy of the Equivalence of Gravitating Masses (EGM) principle, which previously was only introduced as a postulate

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Summary

Introduction

One of the 2017 Nobel Prizes was awarded for the creation of a gravity wave detector - an Advanced LIGO interferometer (the construction cost of which amounted to more than 600 million US dollars) and detection of a gravitational wave with an amplitude of A=10-18 m. The existence of gravitational waves was predicted by Einstein in his general theory of relativity ≈ 100 years ago According to his theory, gravitational waves (perturbation, curvature of space-time) are created by any massive object moving with acceleration. Gravitational waves (perturbation, curvature of space-time) are created by any massive object moving with acceleration The list of such objects includes, e.g., the Moon, moving in a nearearth elliptical orbit with variable (±) acceleration. This movement of the moon regularly creates a pair of antipode waves of a solid tide in the outer Earth's shell, turning this shell into an oscillating system with dynamic conditions of a standing wave in the damping mode. The gravitational origin of the waves of the solid lunar tide in the outer shell of the Earth is quite obvious and does not need any special substantiation

Tectonic layering mechanism
EGM principle
Gravity in spaces with different metrics
Conclusions
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