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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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.