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Mathematical aspects of paradoxes in cosmologycan mathematics explain the contemporary cosmological crisis? /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Mathematical aspects of paradoxes in cosmologyby Michal Krizek, Lawrence Somer.
其他題名:	can mathematics explain the contemporary cosmological crisis? /
作者:	Krizek, Michal.
其他作者:	Somer, Lawrence.
出版者:	Cham :Springer Nature Switzerland :2023.
面頁冊數:	xvi, 264 p. :ill. (chiefly color), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	CosmologyMathematics.
電子資源:	https://doi.org/10.1007/978-3-031-31768-2
ISBN:	9783031317682$q(electronic bk.)

Mathematical aspects of paradoxes in cosmologycan mathematics explain the contemporary cosmological crisis? /
Krizek, Michal.

Mathematical aspects of paradoxes in cosmologycan mathematics explain the contemporary cosmological crisis? /[electronic resource] :by Michal Krizek, Lawrence Somer. - Cham :Springer Nature Switzerland :2023. - xvi, 264 p. :ill. (chiefly color), digital ;24 cm.

1 Mathematical Modeling -- 2 Paradoxes in the Special Theory of Relativity -- 3 Einstein's Equations -- 4 Numerical Analysis of Mercury's Perihelion Shift -- 5 Computational Problems of Einstein's Equations -- 6 Friedmann Equation -- 7 Excessive Extrapolations From the Friedmann Equation -- 8 Arguments Against the Proclaimed Amount of Dark Matter -- 9 Dark Energy and the Local Hubble Expansion -- 10 Anthropic Principle and the Hubble-Lemaitre Constant -- 11 Gravitational Waves -- 12 Possible Distribution of Mass Inside a Black Hole.

This book provides a mathematical and numerical analysis of many problems which lead to paradoxes in contemporary cosmology, in particular, the existence of dark matter and dark energy. It is shown that these hypothetical quantities arise from excessive extrapolations of simple mathematical models to the whole physical universe. Written in a completely different style to most books on General Relativity and cosmology, the important results take the form of mathematical theorems with precise assumptions and statements. All theorems are followed by a corresponding proof, or an exact reference to the proof. Some nonstandard topics are also covered, including violation of the causality principle in Newtonian mechanics, a critical mathematical and numerical analysis of Mercury's perihelion shift, inapplicability of Einstein's equations to the classical two-body problem due to computational complexity, non-uniqueness of the notion of universe, the topology of the universe, various descriptions of a hypersphere, regular tessellations of hyperbolic spaces, local Hubble expansion of the universe, neglected gravitational redshift in the detection of gravitational waves, and the possible distribution of mass inside a black hole. The book also dispels some myths appearing in the theory of relativity and in contemporary cosmology. For example, although the hidden assumption that Einstein's equations provide a good description of the evolution of the whole universe is considered to be obvious, it is just a null hypothesis which has not been verified by any experiment, and has only been postulated by excessive extrapolations of many orders of magnitude.

ISBN: 9783031317682$q(electronic bk.)

Standard No.: 10.1007/978-3-031-31768-2doiSubjects--Topical Terms:

870618
Cosmology
--Mathematics.

LC Class. No.: QB981

Dewey Class. No.: 523.1

Mathematical aspects of paradoxes in cosmologycan mathematics explain the contemporary cosmological crisis? /
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505 0 $a 1 Mathematical Modeling -- 2 Paradoxes in the Special Theory of Relativity -- 3 Einstein's Equations -- 4 Numerical Analysis of Mercury's Perihelion Shift -- 5 Computational Problems of Einstein's Equations -- 6 Friedmann Equation -- 7 Excessive Extrapolations From the Friedmann Equation -- 8 Arguments Against the Proclaimed Amount of Dark Matter -- 9 Dark Energy and the Local Hubble Expansion -- 10 Anthropic Principle and the Hubble-Lemaitre Constant -- 11 Gravitational Waves -- 12 Possible Distribution of Mass Inside a Black Hole.
520 $a This book provides a mathematical and numerical analysis of many problems which lead to paradoxes in contemporary cosmology, in particular, the existence of dark matter and dark energy. It is shown that these hypothetical quantities arise from excessive extrapolations of simple mathematical models to the whole physical universe. Written in a completely different style to most books on General Relativity and cosmology, the important results take the form of mathematical theorems with precise assumptions and statements. All theorems are followed by a corresponding proof, or an exact reference to the proof. Some nonstandard topics are also covered, including violation of the causality principle in Newtonian mechanics, a critical mathematical and numerical analysis of Mercury's perihelion shift, inapplicability of Einstein's equations to the classical two-body problem due to computational complexity, non-uniqueness of the notion of universe, the topology of the universe, various descriptions of a hypersphere, regular tessellations of hyperbolic spaces, local Hubble expansion of the universe, neglected gravitational redshift in the detection of gravitational waves, and the possible distribution of mass inside a black hole. The book also dispels some myths appearing in the theory of relativity and in contemporary cosmology. For example, although the hidden assumption that Einstein's equations provide a good description of the evolution of the whole universe is considered to be obvious, it is just a null hypothesis which has not been verified by any experiment, and has only been postulated by excessive extrapolations of many orders of magnitude.
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