Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

The Mach's Principle and Large-scale Modification of Newtonian Gravitation as Alternative Approach to Cold Dark Matter and Dark Energy

Version 1 : Received: 11 December 2021 / Approved: 14 December 2021 / Online: 14 December 2021 (13:51:38 CET)

How to cite: Falcon, N. The Mach's Principle and Large-scale Modification of Newtonian Gravitation as Alternative Approach to Cold Dark Matter and Dark Energy. Preprints 2021, 2021120239 (doi: 10.20944/preprints202112.0239.v1). Falcon, N. The Mach's Principle and Large-scale Modification of Newtonian Gravitation as Alternative Approach to Cold Dark Matter and Dark Energy. Preprints 2021, 2021120239 (doi: 10.20944/preprints202112.0239.v1).

Abstract

We take a heterodox approach to the ΛFRW Cosmology starting from the modification of Newtonian gravity by explicitly incorporating Mach's Principle through an additional term a great scale in the gravitation. The results show that at the after of the matter-radiation decoupling, the distribution of matter at scales greater than 10Mpc contributes with an inverse Yukawa-like field, which verifies the observations: resulting null in the inner solar system, weakly attractive in ranges of interstellar comoving distances, very attractive in comoving distance ranges comparable to the clusters of galaxies, and repulsive in cosmic scales. This additional term explains dark energy, removes the incompatibility between the density of matter and the flatness of the universe; and also allows the theoretical deduction of the Hubble-Lemaitre Law. Additionally, Birkhoff Theorem, Virial Theorem, the missing mass of Zwicky, the BAO, gravitational redshift are discussed. It is concluded that the dark energy and the missing mass can be approached with the usual physics if a classical, large-scale modification of the Inverse Square Law.

Keywords

Mach's Principle; Dark Matter; Dark Energy; gravity; graviton mass; FRW cosmology; Hubble-Lemaitre Law.

Subject

PHYSICAL SCIENCES, Astronomy & Astrophysics

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