Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

A Scale at 10 MeV, Gravitational Topological Vacuum, and Large Extra Dimensions

Version 1 : Received: 21 June 2018 / Approved: 22 June 2018 / Online: 22 June 2018 (06:14:04 CEST)
Version 2 : Received: 1 August 2018 / Approved: 2 August 2018 / Online: 2 August 2018 (08:57:01 CEST)

A peer-reviewed article of this Preprint also exists.

Aydemir, U. A Scale at 10 MeV, Gravitational Topological Vacuum, and Large Extra Dimensions. Universe 2018, 4, 80. Aydemir, U. A Scale at 10 MeV, Gravitational Topological Vacuum, and Large Extra Dimensions. Universe 2018, 4, 80.

Abstract

We discuss a possible scale of gravitational origin at around 10 MeV, or 10−12 cm, arisen in the MacDowell-Mansouri formalism of gravity due to the topological Gauss-Bonnet term in the action, pointed out by Bjorken several years ago. A length scale of the same size emerges also in the Kodama solution in gravity, which is known to be closely related to the MacDowell-Mansouri formulation. We particularly draw attention to the intriguing incident that existence of six compact extra dimensions originated from TeV-scale quantum gravity as well points to a length scale of 10−12 cm, as the compactification scale. The presence of six such extra dimensions is also in remarkable consistency with the MacDowell-Mansouri formalism; it provides a possible explanation for the factor of ~10120 multiplying the Gauss-Bonnet term in the action. We also comment on the relevant implications of such a scale regarding the thermal history of the universe motivated by the fact that it is considerably close to 1–2 MeV below which the weak interactions freeze out, leading to Big Bang Nucleosynthesis.

Keywords

MacDowell-Mansouri formalism; Bjorken-Zeldovich scale; Gauss-Bonnet term; Einstein-Cartan formalism; Big Bang Nucleosynthesis; cosmological constant; Kodama wavefunctions

Subject

Physical Sciences, Particle and Field Physics

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