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020 _a9783031640339
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024 7 _a10.1007/978-3-031-64033-9
_2doi
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072 7 _aPHU
_2bicssc
072 7 _aSCI040000
_2bisacsh
072 7 _aPHU
_2thema
100 1 _aBenenti, Sergio.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
_981625
245 1 0 _aMathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe
_h[electronic resource] /
_cby Sergio Benenti.
250 _a1st ed. 2024.
264 1 _aCham :
_bSpringer Nature Switzerland :
_bImprint: Springer,
_c2024.
300 _aXXI, 143 p. 63 illus., 56 illus. in color.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _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.
520 _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.” .
650 0 _aMathematical physics.
650 0 _aNumerical analysis.
650 0 _aGeometry.
_968763
650 0 _aDynamical systems.
650 0 _aCosmology.
_976015
650 1 4 _aTheoretical, Mathematical and Computational Physics.
_965563
650 2 4 _aNumerical Analysis.
650 2 4 _aGeometry.
_968763
650 2 4 _aDynamical Systems.
650 2 4 _aCosmology.
_976015
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783031640322
776 0 8 _iPrinted edition:
_z9783031640346
776 0 8 _iPrinted edition:
_z9783031640353
856 4 0 _uhttps://doi.org/10.1007/978-3-031-64033-9
912 _aZDB-2-PHA
912 _aZDB-2-SXP
999 _c62087
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