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

Abstract

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.

27 pages, 7 figures, 2 tables

References in corpus (14)

• Dark Energy and the Accelerating Universe
• JADES NIRSpec Spectroscopy of GN-z11: Lyman-$\alpha$ emission and possible enhanced nitrogen abundance in a $z=10.60$ luminous galaxy
• Cosmic dynamics in the era of Extremely Large Telescopes
• Fake Conformal Symmetry in Conformal Cosmological Models
• An alternative to the LCDM model: the case of scale invariance
• Cosmological variation of the MOND constant: secular effects on galactic systems
• The Scale-Invariant Vacuum (SIV) Theory: A Possible Origin of Dark Matter and Dark Energy
• Scale-Invariant Dynamics of Galaxies, MOND, Dark Matter, and the Dwarf Spheroidals
• Testing CCC+TL Cosmology with Observed BAO Features
• On the Relation of the Lunar Recession and the Length-of-the-Day
• MOND as a peculiar case of the SIV theory
• Scale Invariance, Horizons, and Inflation
• Revisiting the Cosmological Constant Problem within Quantum Cosmology
• Action Principle for Scale Invariance and Applications (Part I)

Cited by in corpus (3)

• Elucidating the Dark Energy and Dark Matter Phenomena Within the Scale-Invariant Vacuum (SIV) Paradigm
• Elucidating the z-dependence of the MOND acceleration (a_0) within the Scale Invariant Vacuum (SIV) paradigm
• SIV Guided Resolution of the Lithium-7 BBN Problem