國立虎尾科技大學 |

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

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Mathematical foundations and numerical analysis of the dynamics of an isotropic universe/ by 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

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

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

676385
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
LDR:02954nam a2200337 a 4500 001 1134350
003 DE-He213
005 20240731125645.0
006 m d
007 cr nn 008maaau
008 241213s2024 sz s 0 eng d
020 $a 9783031640339 $q (electronic bk.)
020 $a 9783031640322 $q (paper)
024 7 $a 10.1007/978-3-031-64033-9 $2 doi
035 $a 978-3-031-64033-9
040 $a GP $c GP
041 1 $a eng $h ita
050 4 $a QC173.6
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 512.3 $2 23
090 $a QC173.6 $b .B465 2024
100 1 $a Benenti, Sergio. $3 816074
240 1 0 $a Fondamenti matematici e analisi numerica della dinamica di un Universo isotropo. $l English
245 1 0 $a Mathematical foundations and numerical analysis of the dynamics of an isotropic universe $h [electronic resource] / $c by Sergio Benenti.
260 $a Cham : $c 2024. $b Springer Nature Switzerland : $b Imprint: Springer,
300 $a xxi, 143 p. : $b ill. (some col.), digital ; $c 24 cm.
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."
650 0 $a Einstein field equations. $3 676385
650 1 4 $a Theoretical, Mathematical and Computational Physics. $3 768900
650 2 4 $a Numerical Analysis. $3 671433
650 2 4 $a Geometry. $3 579899
650 2 4 $a Dynamical Systems. $3 1366074
650 2 4 $a Cosmology. $3 579761
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-031-64033-9
950 $a Physics and Astronomy (SpringerNature-11651)