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The Earth's Free Oscillations - Formulation and Solution of the Fundamental Wave Equation of Nature (Hardcover, 1st ed. 2021)
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The Earth's Free Oscillations - Formulation and Solution of the Fundamental Wave Equation of Nature (Hardcover, 1st ed. 2021)
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This book presents the formulations and solutions of the wave
equation for the Earth's 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.
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