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Titlebook: Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe; Sergio Benenti Book 2024 The Editor(s) (if appli

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书目名称Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe
编辑Sergio Benenti
视频video
概述Unravels cosmological complexities with clear, mathematical postulates.Builds a logical-deductive framework to navigate cosmological debates.Establishes foundational clarity amid the confusion of cosm
图书封面Titlebook: Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe;  Sergio Benenti Book 2024 The Editor(s) (if appli
描述.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
出版日期Book 2024
关键词Geometry of Cosmic Space-time; Isotropic Cosmological Models; Matter-radiation Model; Mathematical mode
版次1
doihttps://doi.org/10.1007/978-3-031-64033-9
isbn_softcover978-3-031-64035-3
isbn_ebook978-3-031-64033-9
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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978-3-031-64035-3The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
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,Geometry of the Cosmic Space-Time,In a simplified, large-scale view of cosmology, we can think of the bodies spread throughout the Universe as particles constituting a .. It is not necessary to discuss now the nature of these .; they can be stars, galaxies or whatever.
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Numerical Cosmology,To put the MR-model at work, numerical estimates of the four primary data (.) are needed. A large number of . have been published in recent years. Special attention has been paid to the Planck project reports published in Astronomy & Astrophysics. The Table . shows some estimates provided by the most recent reports [1–3].
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,Signal Transmission and Visibility,In Sect. . we identified the reference space with a ., called ., that provides a virtual view of the Universe where galaxies are fixed points and wandering particles are visible as curves parameterized by cosmic time .. We will make an extensive use of this tool in this and the next chapter.
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Cosmic Redshift,The cosmic redshift is a phenomenon, due to the expansion or contraction of the Universe, whereby the frequency spectrum of light emitted by a cosmic body . differs from that detected by an observer placed in another cosmic body ..
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Appendices,Equation . defines a hyper-sphere . with radius . and centered at the origin .. Figure . represents the stereographic projection from the North pole . onto the Cartesian plane . tangent to the South pole .. A generic point . di . is projected to the point . of the plane.
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