Explaining the Dark Energy and Dark Matter phenomena within the Scale Invariant Vacuum (SIV) Paradigm*

The phenomenon of Dark Energy (DE) is often viewed as a place holder for the energy that drives the accelerated expansion of the Universe. The non-zero Einstein Cosmological Constant Λ_E is one possible manifestation of such DE as a constant energy density of the vacuum which does not seems to gravitate. Here we explain the non-zero Cosmological Constant via the idea of scale invariant cosmology [1]. We also re-dirive the relevant scale factor λ and its defining equations within the Scale Invariant Vacuum (SIV) paradigm [1-4]. We then address the problem of the missing mass in galactic and extra galactic scales by re-deriving the MOND fundamental relation g²→g_Na_MOND within the SIV paradigm [2-4]. The corresponding values for the Cosmological Constant Λ_E and a_MOND are shown to be at the correct order of magnitude as observed.