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 t...
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| フォーマット: | 電子媒体 eBook |
| 言語: | 英語 |
| 出版事項: |
Cham :
Springer Nature Switzerland : Imprint: Springer,
2023.
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| 版: | 1st ed. 2023. |
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| オンライン･アクセス: | https://doi.org/10.1007/978-3-031-31768-2 |
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| 100 | 1 | |a Křížek, Michal. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Mathematical Aspects of Paradoxes in Cosmology |h [electronic resource] : |b Can Mathematics Explain the Contemporary Cosmological Crisis? / |c by Michal Křížek, Lawrence Somer. |
| 250 | |a 1st ed. 2023. | ||
| 264 | 1 | |a Cham : |b Springer Nature Switzerland : |b Imprint: Springer, |c 2023. | |
| 300 | |a 1 online resource (XVI, 264 p. 84 illus.). |b 70 illus. in color. | ||
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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, variousdescriptions 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. | ||
| 532 | 8 | |a Accessibility summary: This PDF does not fully comply with PDF/UA standards, but does feature limited screen reader support, described non-text content (images, graphs), bookmarks for easy navigation and searchable, selectable text. Users of assistive technologies may experience difficulty navigating or interpreting content in this document. We recognize the importance of accessibility, and we welcome queries about accessibility for any of our products. If you have a question or an access need, please get in touch with us at accessibilitysupport@springernature.com. | |
| 532 | 8 | |a No reading system accessibility options actively disabled | |
| 532 | 8 | |a Publisher contact for further accessibility information: accessibilitysupport@springernature.com | |
| 588 | |a Print version record. | ||
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a Numerical analysis. | |
| 650 | 0 | |a Astronomy. | |
| 650 | 0 | |a Gravitation. | |
| 650 | 1 | 4 | |a Mathematical Physics. |
| 650 | 2 | 4 | |a Numerical Analysis. |
| 650 | 2 | 4 | |a Astronomy, Cosmology and Space Sciences. |
| 650 | 2 | 4 | |a Gravitational Physics. |
| 700 | 1 | |a Somer, Lawrence. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
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