MOND as a peculiar case of the SIV theory

Abstract

The scale invariant theory is preserving the fundamental physical properties of General Relativity, while enlarging the group of invariances subtending gravitation theory (Dirac1973; Canuto et al.1977). The Scale Invariant Vacuum (SIV) theory assumes, as gauging condition, that:"The macroscopic empty space is scale invariant, homogeneous and isotropic". Some basic properties in Weyl's Integrable Geometry and cotensor calculus are examined in relation with scalar-tensor theories. Possible scale invariant effects are strongly reduced by matter density, both at the cosmological and local levels. The weak feld limit of SIV tends to MOND, when the scale factor is taken as constant, an approximation valid (<1%) over the last 400 Myr. A better understanding of the a0-parameter is obtained: it corresponds to the equilibrium point of the Newtonian and SIV dynamical acceleration. Parameter a0 is not a universal constant, it depends on the density and age of the Universe. As MOND is doing, SIV theory avoids the call to dark matter, moreover the cosmological models predict accelerated expansion.

9 pages, 2 figures

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Cited by in corpus (7)

• Action Principle for Scale Invariance and Applications (Part I)
• The Scale Invariant Vacuum Paradigm: Main Results and Current Progress Review (Part II)
• Elucidating the Dark Energy and Dark Matter Phenomena Within the Scale-Invariant Vacuum (SIV) Paradigm
• MUSE-DARK III: The evolution of the radial acceleration relation at intermediate redshifts
• Elucidating the z-dependence of the MOND acceleration (a_0) within the Scale Invariant Vacuum (SIV) paradigm
• The Galactic Pizza: Flat Rotation Curves in the Context of Cosmological Time-Energy Coupling
• The modified Newtonian dynamics with an extra anti-dissipation term can yield the MOND model