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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
ورقة مؤتمر
2017

Quantum Geometric Flows

We develop a novel approach to quantum geometry based on geometric flows, and we propose
that this quantum geometry can be used to describe quantum gravity. Thus, we first identify
the degrees of freedom for the dynamical system describing such geometric flows. We then are
able to demonstrate that Raychaudhuri equation is the classical field equation obtained from
the Hamiltonian (and action) of such a dynamical system. As we have the full Hamiltonian
(and action) for the geometric flows, we are able to quantize this system using a functional
Schr\"{o}dinger’s equation. Unlike the Wheeler-DeWitt equation, this Schr\"{o}dinger’s
equation for geometric flows has an intrinsic definition of time. We also comment on the
Ehrenfest limit of this Schr\"{o}dinger’s equation describing quantum geometric flows, and
its implications for the Hawking-Penrose singularity theorems.
We also discuss the implications of this formalism to cosmology and Black holes

اسم المؤتمر
3rd Karl Schwarzschild Meeting - Gravity and the Gauge/Gravity Correspondence
المنظمة الممولة
Frankfurt Institute for Advanced Study
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