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E-book
Author Petrov, Oleg V., author

Title The Earth's free oscillations : formulation and solution of the fundamental wave equation of nature / Oleg V. Petrov
Published Cham, Switzerland : Springer, [2021]

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Description 1 online resource (xi, 106 pages) : illustrations (some color)
Contents Formulation and solution of the wave equation for free oscillations of a string -- Formulation and solution of the wave equation for free oscillations of the Earth -- Formulations and solutions of the fundamental wave equation of nature
Summary This book presents the formulations and solutions of the wave equation for the Earths free oscillations concerning the particular nodal, bifurcation, perspectival, and projective reference points within the framework of the three "great geometries" of Euclid, Lobachevsky, and Riemann. When studying the relationship between the propagation velocity of various types of bulk and surface seismic waves with radial, spheroidal, and torsional eigen oscillations of the Earth having corresponding periods, we are struck by the fundamental problem of obtaining reference points that allow physical meaning to be attributed to all these discrete oscillatory and continuous wave phenomena that occur in nature. Several unsuccessful attempts tried to unify the relationship of discrete oscillations and the velocity of waves and light occurring in seismology and other phenomena associated with gravity and matter, using a three-dimensional visual space-time model continuous Euclidean space. Using simple and illustrative examples for describing the free oscillations of the Earth and taking into account new visible event horizons related to the velocity of waves and light propagation, the author formulated and solved the fundamental wave equation of nature in the form of the three "great theorems" Galilean, Lorentz, and Poincare spatiotemporal transformations
Bibliography Includes bibliographical references
Notes Online resource; title from PDF title page (SpringerLink, viewed March 17, 2021)
Subject Free earth oscillations.
Wave equation.
Free earth oscillations
Planets -- Mathematical models
Wave equation
SUBJECT Earth (Planet) -- Mathematical models. http://id.loc.gov/authorities/subjects/sh85040441
Subject Earth (Planet)
Form Electronic book
ISBN 3030675173
9783030675172