  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.
