Tunneling through bridges: Bohmian non-locality from higher-derivative gravity
Abstract
A classical origin for the Bohmian quantum potential, as that potential term arises in the quantum mechanical treatment of black holes and Einstein-Rosen (ER) bridges, can be based on 4th-order extensions of Einstein's equations. The required 4th-order extension of general relativity is given by adding quadratic curvature terms with coefficients that maintain a fixed ratio, as their magnitudes approach zero, with classical general relativity as a singular limit. If entangled particles are connected by a Planck-width ER bridge, as conjectured by Maldacena and Susskind, then a connection by a traversable Planck-scale wormhole, allowed in 4th-order gravity, describes such entanglement in the ontological interpretation. It is hypothesized that higher-derivative gravity can account for the nonlocal part of the quantum potential generally.
Keywords
Cite
@article{arxiv.1901.10969,
title = {Tunneling through bridges: Bohmian non-locality from higher-derivative gravity},
author = {Gregory S. Duane},
journal= {arXiv preprint arXiv:1901.10969},
year = {2019}
}
Comments
accepted preprint version, in press; 20 pages, 2 figures