Tunneling through bridges: Bohmian non-locality from higher-derivative gravity |
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Authors: | Gregory S Duane |
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Institution: | 1. Geophysics Institute, University of Bergen, Postboks 7803, 5020 Bergen, Norway;2. Dept. of Atmospheric and Oceanic Sciences, University of Colorado, Boulder, CO 80309, USA |
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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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Keywords: | 4th order gravity Quantum potential ER=EPR Micro-wormholes Causal interpretation |
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