| 書目名稱 | Mathematical Aspects of Paradoxes in Cosmology | | 副標題 | Can Mathematics Expl | | 編輯 | Michal K?í?ek,Lawrence Somer | | 視頻video | http://file.papertrans.cn/627/626019/626019.mp4 | | 概述 | Uses mathematical arguments to explain the main reasons behind the current crisis in cosmology.Discusses the inapplicability of Einstein‘s equations to the N-body problem.Provides a comprehensive revi | | 圖書封面 |  | | 描述 | .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 dis | | 出版日期 | Book 2023 | | 關(guān)鍵詞 | three-dimensional hypersphere; dark matter; mathematical modeling; N-body problem; Einstein equations; Sc | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-31768-2 | | isbn_softcover | 978-3-031-31770-5 | | isbn_ebook | 978-3-031-31768-2 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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