Quantum Gravity and String Theory


Novel Remarks on the Cosmological Constant, the Bohm-Poisson Equation and Asymptotic Safety in Quantum Gravity

Authors: Carlos Castro

Recently, solutions to the $nonlinear$ Bohm-Poisson equation were found [2] with cosmological applications. We were able to obtain a value for the vacuum energy density of the same order of magnitude as the extremely small observed vacuum energy density, and explained the origins of its $repulsive$ gravitational nature. In this work we show how to obtain a value for the vacuum energy density which coincides $exactly$ with the extremely small observed vacuum energy density. This construction allows also to borrow the results over the past two decades pertaining the study of the Renormalization Group (RG) within the context of Weinberg's Asymptotic Safety scenario. The RG flow behavior of $ G $ shows that $ G $ $increases$ with distance, so that the magnitude of the repulsive force exemplified by $ - G < 0 $ becomes larger, and larger, as the universe expands. This is what is observed.

Comments: 9 Pages. submitted to Physics Letters B

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Submission history

[v1] 2017-10-24 01:42:13

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