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arXiv · 1901.10969

Tunneling through bridges: Bohmian non-locality from higher-derivative gravity

Gregory S. Duane
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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.

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Gregory S. Duane. 2019-01-30. Tunneling through bridges: Bohmian non-locality from higher-derivative gravity. https://doi.org/10.1016/j.physleta.2018.12.015

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