Mathematical aspects of paradoxes in cosmology : can mathematics explain the contemporary cosmological crisis? / Michal Křížek, Lawrence Somer.
Křížek, M., author.; Somer, Lawrence, author.
2023
QB981
Available Online

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Title Mathematical aspects of paradoxes in cosmology : can mathematics explain the contemporary cosmological crisis? / Michal Křížek, Lawrence Somer.
Author Křížek, M., author.
ISBN 9783031317682 (electronic bk.)
3031317688 (electronic bk.)
9783031317675
DOI https://doi.org/10.1007/978-3-031-31768-2
Published Cham : Springer, [2023]
Copyright ©2023
Language English
Description 1 online resource (xvi, 264 pages) : illustrations (chiefly color)
Item Number 10.1007/978-3-031-31768-2 doi
Call Number QB981
Dewey Decimal Classification 523.1
Summary 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.
Bibliography, etc. Note Includes bibliographical references and indexes.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed July 13, 2023).
Added Author Somer, Lawrence, author.
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Record Appears in Online Resources > Ebooks
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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.

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