Quantum Gravity and String Theory


Dark Energy and the Bohm-Poisson-Schroedinger Equation

Authors: Carlos Castro

We revisit the solutions to the nonlinear Bohm-Poisson (BP) equation with relevant cosmological applications. In particular, we obtain an exact analytical expression for the observed vacuum energy density and explain the origins of its repulsive gravitational nature. Further results are provided which include two possible extensions of the Bohm-Poisson equation to the full relativistic regime; how Bohm's quantum potential in four-dimensions could be re-interpreted as a gravitational potential in five-dimensions, and which explains why the presence of dark energy/dark matter in our 4D spacetime can only be inferred indirectly, but not be detected/observed directly. Solutions to the novel Bohm-Poisson-Schroedinger equation are provided encoding the repulsive nature of dark energy (repulsive gravity). We proceed with a discussion on Asymptotic safety, matter creation from the vacuum, and Finsler relativistic extensions of the Bohm-Poisson equation. Finally, we conclude with some comments about the Dirac-Eddington large numbers coincidences.

Comments: 16 Pages. Submitted to Canadian Journal of Physics

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Submission history

[v1] 2018-01-20 00:45:39

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