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سلوى محمد الصالح | Salwa M. Alsaleh

Associate Professor

Theoretical Particle Physics

كلية العلوم
مبنى 5، الدور 3 . رقم المكتب 221
المنشورات
مقال فى مجلة
2016
تم النشر فى:

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

space-time: topology | quantization: space-time | path integral: nonperturbative | homotopy | surfa

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.

مجلة/صحيفة
International Journal of Geometric Methods in Modern Physics
مزيد من المنشورات
publications

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…

2019
publications

In this paper, we have constructed the Feynman path integral method for non-paraxial optics. This is done by using the mathematical analogy between a non-paraxial optical system and the…

2018