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The Earth's free oscillations = form...

Petrov, Oleg V.

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The Earth's free oscillations = formulation and solution of the fundamental wave equation of nature /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	The Earth's free oscillations/ by Oleg V. Petrov.
其他題名:	formulation and solution of the fundamental wave equation of nature /
作者:	Petrov, Oleg V.
出版者:	Cham :Springer International Publishing : : 2021.,
面頁冊數:	xi, 106 p. :ill. (some col.), digital ;24 cm.
內容註:	Free oscillations of a string -- Free oscillations of the Earth -- Formulations and solutions of the fundamental wave equation of nature.
Contained By:	Springer Nature eBook
標題:	Free earth oscillations. -
標題:	Earth (Planet) - Mathematical models. -
電子資源:	https://doi.org/10.1007/978-3-030-67517-2
ISBN:	9783030675172

The Earth's free oscillations = formulation and solution of the fundamental wave equation of nature /
Petrov, Oleg V.

The Earth's free oscillationsformulation and solution of the fundamental wave equation of nature /[electronic resource] :by Oleg V. Petrov. - Cham :Springer International Publishing :2021. - xi, 106 p. :ill. (some col.), digital ;24 cm.

Free oscillations of a string -- Free oscillations of the Earth -- Formulations and solutions of the fundamental wave equation of nature.

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.

ISBN: 9783030675172

Standard No.: 10.1007/978-3-030-67517-2doiSubjects--Topical Terms:

3489595
Free earth oscillations.
Subjects--Geographical Terms:

3489594
Earth (Planet)
--Mathematical models.

LC Class. No.: QE539 / .P487 2021

Dewey Class. No.: 531.32

The Earth's free oscillations = formulation and solution of the fundamental wave equation of nature /
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505 0 $a Free oscillations of a string -- Free oscillations of the Earth -- Formulations and solutions of the fundamental wave equation of nature.
520 $a 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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