From holography to the geometry of the spacetime
arXiv:2107.13898 · doi:10.1142/S0219887819500105
Abstract
We show the geometric consequences that the holographic principle has on the spacetime. Namely, we prove that complete spacelike hypersurfaces in a spacetime that satisfies the holographic principle are non-parabolic. This has important consequences on the behaviour of the Brownian motion in these spacelike hypersurfaces, as well as provides a method for finding examples of universes that lead to a violation of this principle.
Preprint of an article published in International Journal of Geometric Methods in Modern Physics, 16 (2019), 1950010 (1-11), which can be found at https://doi.org/10.1142/S0219887819500105