03490nam a22004815i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001700153072001600170072002300186072001500209100007800224245013800302250001800440264006900458300006500527336002600592337002600618338003600644347002400680505020700704520164800911650002602559650002402585650001402609650002302623650001502646650005702661650002402718650001402742650002302756650001502779710003402794773002602828776003602854776003602890776003602926856004602962978-3-031-64033-9DE-He21320251030112701.0cr nn 008mamaa240731s2024    sz |    s    |||| 0|eng d  a97830316403397 a10.1007/978-3-031-64033-92doi 4aQC19.2-20.85 7aPHU2bicssc 7aSCI0400002bisacsh 7aPHU2thema1 aBenenti, Sergio.eauthor.4aut4http://id.loc.gov/vocabulary/relators/aut10aMathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universeh[electronic resource] /cby Sergio Benenti.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXXI, 143 p. 63 illus., 56 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda0 a1. Geometry of the cosmic space-time -- 2. Bridge-postulates -- 3. Relativistic cosmic dynamics -- 4. Numerical cosmology -- 5. Signal transmission and visibility -- 6. Cosmic redshift -- 7. Appendices.  aThis book is an enhanced and expanded English edition of the treatise “Fondamenti matematici e analisi numerica della dinamica di un Universo isotropo,” published by the Accademia delle Scienze di Torino in volume no. 42-43, 2018-2019. The book summarizes some of the principal findings from a long-term cosmology research project, aiming to clarify significant results through clear mathematical postulates. Despite efforts, a single mathematical model accurately describing the universe’s evolution remains elusive due to early universe complexity and numerous observational parameters. Over the past century, various models have been proposed and discarded, illustrated by debates on the cosmological constant and spatial curvature assumptions. Currently, many models lack clear foundations, causing confusion in the field. Standard cosmological approaches rely on principles like Weyl’s principle, homogeneity, and isotropy, but may overlook discerning purely geometrical properties from those dependent on field equations. This book aims to bring order to cosmology by starting from understandable mathematical postulates, leading to theorems. Disagreements on postulates can prompt adjustments or alternative approaches. Physics often consists of deductive theories lacking explicit delineation of underlying concepts and postulates, a criticism relevant to cosmological theories. Despite a late 1990s consensus on the Lambda cold dark matter model, the absence of a logical-deductive structure in literature complicates understanding, leading some to humorously dub it the “expanding Universe and expanding confusion.” . 0aMathematical physics. 0aNumerical analysis. 0aGeometry. 0aDynamical systems. 0aCosmology.14aTheoretical, Mathematical and Computational Physics.24aNumerical Analysis.24aGeometry.24aDynamical Systems.24aCosmology.2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303164032208iPrinted edition:z978303164034608iPrinted edition:z978303164035340uhttps://doi.org/10.1007/978-3-031-64033-9