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We summarize the main results within the Scale Invariant Vacuum (SIV)paradigm as related to the Weyl Integrable Geometry (WIG) as an extension tothe standard Einstein General Relativity (EGR). After a short sketch of themathematical framework, the main results until 2023 [1] are highlighted inrelation to: the inflation within the SIV [2], the growth of the densityfluctuations [3], the application of the SIV to scale-invariant dynamics ofgalaxies, MOND, dark matter, and the dwarf spheroidals [4],and the most recentresults 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.

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