001471700 000__ 04390nam\\2200577\i\4500
001471700 001__ 1471700
001471700 003__ OCoLC
001471700 005__ 20230908003310.0
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001471700 007__ cr\cn\nnnunnun
001471700 008__ 230713s2023\\\\sz\a\\\\ob\\\\001\0\eng\d
001471700 020__ $$a9783031317682$$q(electronic bk.)
001471700 020__ $$a3031317688$$q(electronic bk.)
001471700 020__ $$z9783031317675
001471700 0247_ $$a10.1007/978-3-031-31768-2$$2doi
001471700 035__ $$aSP(OCoLC)1390204024
001471700 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE
001471700 049__ $$aISEA
001471700 050_4 $$aQB981
001471700 08204 $$a523.1$$223/eng/20230713
001471700 1001_ $$aKřížek, M.,$$eauthor.
001471700 24510 $$aMathematical aspects of paradoxes in cosmology :$$bcan mathematics explain the contemporary cosmological crisis? /$$cMichal Křížek, Lawrence Somer.
001471700 264_1 $$aCham :$$bSpringer,$$c[2023]
001471700 264_4 $$c©2023
001471700 300__ $$a1 online resource (xvi, 264 pages) :$$billustrations (chiefly color)
001471700 336__ $$atext$$btxt$$2rdacontent
001471700 337__ $$acomputer$$bc$$2rdamedia
001471700 338__ $$aonline resource$$bcr$$2rdacarrier
001471700 504__ $$aIncludes bibliographical references and indexes.
001471700 5050_ $$a1 Mathematical Modeling -- 2 Paradoxes in the Special Theory of Relativity -- 3 Einstein's Equations -- 4 Numerical Analysis of Mercury's Perihelion Shift -- 5 Computational Problems of Einstein's Equations -- 6 Friedmann Equation -- 7 Excessive Extrapolations From the Friedmann Equation -- 8 Arguments Against the Proclaimed Amount of Dark Matter -- 9 Dark Energy and the Local Hubble Expansion -- 10 Anthropic Principle and the Hubble-Lemaitre Constant -- 11 Gravitational Waves -- 12 Possible Distribution of Mass Inside a Black Hole.
001471700 506__ $$aAccess limited to authorized users.
001471700 520__ $$aThis book provides a mathematical and numerical analysis of many problems which lead to paradoxes in contemporary cosmology, in particular, the existence of dark matter and dark energy. It is shown that these hypothetical quantities arise from excessive extrapolations of simple mathematical models to the whole physical universe. Written in a completely different style to most books on General Relativity and cosmology, the important results take the form of mathematical theorems with precise assumptions and statements. All theorems are followed by a corresponding proof, or an exact reference to the proof. Some nonstandard topics are also covered, including violation of the causality principle in Newtonian mechanics, a critical mathematical and numerical analysis of Mercury's perihelion shift, inapplicability of Einstein's equations to the classical two-body problem due to computational complexity, non-uniqueness of the notion of universe, the topology of the universe, various descriptions of a hypersphere, regular tessellations of hyperbolic spaces, local Hubble expansion of the universe, neglected gravitational redshift in the detection of gravitational waves, and the possible distribution of mass inside a black hole. The book also dispels some myths appearing in the theory of relativity and in contemporary cosmology. For example, although the hidden assumption that Einstein's equations provide a good description of the evolution of the whole universe is considered to be obvious, it is just a null hypothesis which has not been verified by any experiment, and has only been postulated by excessive extrapolations of many orders of magnitude.
001471700 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed July 13, 2023).
001471700 650_0 $$aCosmology$$xMathematics.
001471700 650_0 $$aParadoxes.
001471700 655_0 $$aElectronic books.
001471700 7001_ $$aSomer, Lawrence,$$eauthor.
001471700 852__ $$bebk
001471700 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-031-31768-2$$zOnline Access$$91397441.1
001471700 909CO $$ooai:library.usi.edu:1471700$$pGLOBAL_SET
001471700 980__ $$aBIB
001471700 980__ $$aEBOOK
001471700 982__ $$aEbook
001471700 983__ $$aOnline
001471700 994__ $$a92$$bISE