03837nam a22005655i 4500 978-3-031-64033-9 DE-He213 20251030112701.0 cr nn 008mamaa 240731s2024 sz | s |||| 0|eng d 9783031640339 978-3-031-64033-9 10.1007/978-3-031-64033-9 doi QC19.2-20.85 PHU bicssc SCI040000 bisacsh PHU thema Benenti, Sergio. author. aut http://id.loc.gov/vocabulary/relators/aut 81625 Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe [electronic resource] / by Sergio Benenti. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XXI, 143 p. 63 illus., 56 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda 1. 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. This 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.” . Mathematical physics. Numerical analysis. Geometry. 68763 Dynamical systems. Cosmology. 76015 Theoretical, Mathematical and Computational Physics. 65563 Numerical Analysis. Geometry. 68763 Dynamical Systems. Cosmology. 76015 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031640322 Printed edition: 9783031640346 Printed edition: 9783031640353 https://doi.org/10.1007/978-3-031-64033-9 ZDB-2-PHA ZDB-2-SXP 62087 62087