The Scale Invariant Vacuum Paradigm: main results and current progress

TL;DR

This paper reviews the Scale Invariant Vacuum (SIV) paradigm, discussing its mathematical framework and key results in cosmology, galaxy dynamics, and dark matter, highlighting its potential as an alternative to standard models.

Contribution

It provides a comprehensive summary of the SIV paradigm's main results and progress, connecting geometric, cosmological, and galactic phenomena within a scale-invariant framework.

Findings

SIV offers a novel approach to inflation and density fluctuations.

Application of SIV to galaxy dynamics and dark matter models.

Connections between SIV results and re-parametrization in weak-field regimes.

Abstract

We present a summary of the main results within the Scale Invariant Vacuum (SIV) paradigm as related to the Weyl Integrable Geometry. After a brief review of the mathematical framework, we will highlight the main results related to inflation within the SIV [9], the growth of the density fluctuations [8], and the application of the SIV to scale-invariant dynamics of Galaxies, MOND, Dark Matter, and the Dwarf Spheroidals [7]. The connection of the weak-field SIV results to the un-proper time parametrization within the re-parametrization paradigm is also discussed [14].