Name: Mathematical Aspects of Paradoxes in Cosmology. Can Mathematics Explain the Contemporary Cosmological Crisis?
Price: 171.35 EUR
Availability: InStock
Author: Lawrence Somer;Michal Krizek
ISBN: 9783031317705

portada Mathematical Aspects of Paradoxes in Cosmology. Can Mathematics Explain the Contemporary Cosmological Crisis?

Mathematical Aspects of Paradoxes in Cosmology. Can Mathematics Explain the Contemporary Cosmological Crisis?

Type

Physical Book

Publisher

Springer International Publishing AG

Author

Lawrence Somer;Michal Krizek

Year

2024

Pages

264

Format

Paperback

Dimensions

23.50 x 15.50 cm

ISBN13

9783031317705

Mathematical Aspects of Paradoxes in Cosmology. Can Mathematics Explain the Contemporary Cosmological Crisis?

Lawrence Somer;Michal Krizek (Author) · Springer International Publishing AG · Paperback

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Synopsis "Mathematical Aspects of Paradoxes in Cosmology. Can Mathematics Explain the Contemporary Cosmological Crisis?"

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.