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arXiv · 1611.02573

ER= EPR and Non-Perturbative Action Integrals for Quantum Gravity

Salwa Alsaleh·Lina Alasfar
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Abstract

In this paper, we construct and calculate a non-perturbative path integrals in a multiply-connected space-time. This is done by by summing over homotopy classes of paths. The topology of the space-time is defined by Einstein-Rosen bridges (ERB) forming from the entanglement of quantum foam described by virtual black holes. As these `bubbles' are entangled, they ar econnected by Plankian ERB's because of the $ER=EPR$ conjecture. Hence the space-time will possess a large first Betti number $B1$. For any compact 2-surface in the space-time, the topology (in particular the homotopy) of that surface is not-trivial, due to the large number of Plankian ERB's that define homotopy though this surface. The quantisation of space-time with this topology - along with the proper choice of the 2-surfaces - is conjectured to allow anon-perturbative path integrals of quantum gravity theory over the space-time manifold.

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Salwa Alsaleh, Lina Alasfar. 2018-04-23. ER= EPR and Non-Perturbative Action Integrals for Quantum Gravity. https://doi.org/10.1142/s0219887817501389

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