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Mathematical foundations and numerical analysis of the dynamics of an isotropic universe

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical foundations and numerical analysis of the dynamics of an isotropic universeby Sergio Benenti.
Author:	Benenti, Sergio.
Published:	Cham :Springer Nature Switzerland :2024.
Description:	xxi, 143 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Einstein field equations.
Online resource:	https://doi.org/10.1007/978-3-031-64033-9
ISBN:	9783031640339$q(electronic bk.)

Mathematical foundations and numerical analysis of the dynamics of an isotropic universe
Benenti, Sergio.

Mathematical foundations and numerical analysis of the dynamics of an isotropic universe[electronic resource] /by Sergio Benenti. - Cham :Springer Nature Switzerland :2024. - xxi, 143 p. :ill. (some col.), digital ;24 cm.

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."

ISBN: 9783031640339$q(electronic bk.)

Standard No.: 10.1007/978-3-031-64033-9doiSubjects--Topical Terms:

278317
Einstein field equations.

LC Class. No.: QC173.6

Dewey Class. No.: 512.3

Mathematical foundations and numerical analysis of the dynamics of an isotropic universe
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505 0 $a 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.
520 $a 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."
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