From holography to the geometry of the spacetime
Mathematical Physics
2021-07-30 v1 High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.2107.13898,
title = {From holography to the geometry of the spacetime},
author = {José A. S. Pelegrín},
journal= {arXiv preprint arXiv:2107.13898},
year = {2021}
}
Comments
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