The Scale Invariant Vacuum Paradigm: Main Results plus the Current BBNS Progress

TL;DR

This paper reviews the Scale Invariant Vacuum paradigm's mathematical framework and its applications to cosmology, galaxy dynamics, and Big Bang nucleosynthesis, highlighting progress up to 2023.

Contribution

It provides a comprehensive summary of the SIV paradigm's main results and recent advancements in cosmology and astrophysics, extending Einstein's theory with Weyl Integrable Geometry.

Findings

Inflation within the SIV framework

Growth of density fluctuations analyzed

Application to galaxy dynamics and BBNS abundances

Abstract

We summarize the main results within the Scale Invariant Vacuum (SIV) paradigm as related to the Weyl Integrable Geometry (WIG) as an extension to the standard Einstein General Relativity (EGR). After a short sketch of the mathematical framework, the main results until 2023 [1] are highlighted in relation to: the inflation within the SIV [2], the growth of the density fluctuations [3], the application of the SIV to scale-invariant dynamics of galaxies, MOND, dark matter, and the dwarf spheroidals [4],and the most recent results on the BBNS light-elements' abundances within the SIV [5]. Keywords: cosmology: theory, dark matter, dark energy, inflation, BBNS; galaxies: formation, rotation; Weyl integrable geometry; Dirac co-calculus.