The Scale Invariant Vacuum Paradigm: Main Results and Current Progress Review (Part II)

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Auteurs principaux: Gueorguiev, Vesselin G., Maeder, Andre
Format: Preprint
Publié: 2023
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author Gueorguiev, Vesselin G.
Maeder, Andre
author_facet Gueorguiev, Vesselin G.
Maeder, Andre
contents We present a summary of the main results within the Scale Invariant Vacuum (SIV) paradigm based on the Weyl Integrable Geometry (WIG) as an extension to the standard Einstein General Relativity (EGR). After a brief review of the mathematical framework, where we also highlight the connection between the weak-field SIV equations and the notion of un-proper time parametrization within the reparametrization paradigm, we continue with the main results related to early Universe; that is, applications to inflation, Big Bang Nucleosynthesis, and the growth of the density fluctuations within the SIV. In the late time Universe the applications of the SIV paradigm are related to scale-invariant dynamics of galaxies, MOND, dark matter, and the dwarf spheroidals where one can find MOND to be a peculiar case of the SIV theory. Finally, within the recent time epoch, we highlight that some of the change in the length-of-the-day (LOD), about 0.92 cm/yr, can be accounted for by SIV effects in the Earth-Moon system.
format Preprint
id arxiv_https___arxiv_org_abs_2311_14569
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle The Scale Invariant Vacuum Paradigm: Main Results and Current Progress Review (Part II)
Gueorguiev, Vesselin G.
Maeder, Andre
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
Plasma Physics
We present a summary of the main results within the Scale Invariant Vacuum (SIV) paradigm based on the Weyl Integrable Geometry (WIG) as an extension to the standard Einstein General Relativity (EGR). After a brief review of the mathematical framework, where we also highlight the connection between the weak-field SIV equations and the notion of un-proper time parametrization within the reparametrization paradigm, we continue with the main results related to early Universe; that is, applications to inflation, Big Bang Nucleosynthesis, and the growth of the density fluctuations within the SIV. In the late time Universe the applications of the SIV paradigm are related to scale-invariant dynamics of galaxies, MOND, dark matter, and the dwarf spheroidals where one can find MOND to be a peculiar case of the SIV theory. Finally, within the recent time epoch, we highlight that some of the change in the length-of-the-day (LOD), about 0.92 cm/yr, can be accounted for by SIV effects in the Earth-Moon system.
title The Scale Invariant Vacuum Paradigm: Main Results and Current Progress Review (Part II)
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
Astrophysics of Galaxies
Plasma Physics
url https://arxiv.org/abs/2311.14569