Abstract
We deduced the Hubble law and the age of the Universe, through the introduction of the Inverse Yukawa Field (IYF), as a non-local additive complement of the Newtonian gravitation (Modified Newtonian Dynamics). As a result, we connected the dynamics of astronomical objects at great scale with the Friedmann-Robertson-Walker ΛFRW) model. From the corresponding formalism, the Hubble law can be expressed as v = (4π[G]/c)r, which was derived by evaluating the IYF force at distances much greater than 50 Mpc, giving a maximum value for the expansion rate of the universe of H0(max) ≈ 86.31 km·s-1Mpc-1, consistent with the observational data of 392 astronomical objects from NASA/IPAC Extragalactic Database (NED). This additional field (IYF) provides a simple interpretation of dark energy as the action of baryonic matter at large scales. Additionally, we calculated the age of the universe as 11 Gyr, in agreement with recent measurements of the age of the white dwarfs in the solar neighborhood.
Highlights
The idea of a model for a universe in continuous and constant expansion emerged from the pioneering work of Hubble, Slipher and Humason [1]
How to cite this paper: Falcon, N. and Aguirre, A. (2014) Theoretical Deduction of the Hubble Law Beginning with a Modified Newtonian Dynamics (MoND) Theory in Context of the ΛFRW-Cosmology
Hubble law has remained unalterable, and the latest theories seem to look for deriving the velocity-distance law as was proposed by Hubble, namely, they look for a theoretical deduction of the Hubble law
Summary
The idea of a model for a universe in continuous and constant expansion emerged from the pioneering work of Hubble, Slipher and Humason [1]. Pascual-Sánchez [10] determined a generalized Hubble law which introduces two additional terms to the usual Hubble law produced by the angular expansion, but this conception implies an anisotropic universe in conflicts with the Cosmological Principle At this point, Hubble law has remained unalterable, and the latest theories seem to look for deriving the velocity-distance law as was proposed by Hubble, namely, they look for a theoretical deduction of the Hubble law. According to which the force of gravitation would be the result of two fields generated by the ordinary baryonic matter, a first term as Newton law of the inverse square and an additional long-range term The inclusion of this second term in the force of gravity, consistent with Eötvös-like experiments, can reconcile the ΛFRW model with observables of the Big Bang, without the paradigm of non-baryonic dark matter.
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