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

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2018-07-01

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Aydemir, Ufuk

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We discuss a possible scale of gravitational origin at around 10 MeV, or 10 12 cm, which arises in theMacDowell-Mansouri formalism of gravity due to the topological Gauss-Bonnet term in the action, as 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 theMacDowell-Mansouri formulation. We particularly draw attention to the intriguing incident that the 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 theMacDowell-Mansouri formalism; it provides a possible explanation for the factor of similar to 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 1-2MeV below which the weak interactions freeze out, leading to Big Bang Nucleosynthesis.

Subject Keywords

MacDowell-Mansouri formalism, Bjorken-Zeldovich scale, Gauss-Bonnet term, Einstein-Cartan formalism, Big Bang nucleosynthesis, cosmological constant, Kodama wavefunctions, COSMOLOGICAL CONSTANT, E(+)E(-) PAIRS, FIELD-THEORY, TRANSITION, MASS, SUPERCONNECTIONS, MILLIMETER, GRAVITY, RANGE, FORCE

URI

https://hdl.handle.net/11511/101117

Journal

UNIVERSE

DOI

https://doi.org/10.3390/universe4070080

Collections

Department of Physics, Article

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Citation Formats

U. Aydemir, “A Scale at 10 MeV, Gravitational Topological Vacuum, and Large Extra Dimensions,” UNIVERSE, vol. 4, no. 7, pp. 0–0, 2018, Accessed: 00, 2022. [Online]. Available: https://hdl.handle.net/11511/101117.