المنشورات و المؤلفات

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...
A modern introduction to quantum mechanics with focus on the mathematical foundations. Problems and examples are found for each topic. These notes are for the Quantum Mechanics course taught for fourth year undergraduates in Physics major in King...
In this paper, we compare the quantum corrections to the Schwarzschild black hole temperature due to quadratic and linear-quadratic generalized uncertainty principle, with the corrections from the quantum Raychaudhuri equation. The reason for this...
We will analyse the e ect of time-dependent strain on a sheet of graphene. It will be demonstrated that in the continuum limit, such a strain will induce a non-abelian gauge eld in graphene. We will analyse the e ective eld theory of such a system...
In this letter, we analyze the classical geometric flows as a dynamical system. We obtain an action for such a dynamical system, such that its equation of motion would be the Raychaudhuri equation. As the Raychaudhuri equation is the basis of...
In this paper, we will analyze the connection between the fidelity susceptibility, the holographic complexity and the thermodynamic volume. We will regularize the fidelity susceptibility and the holographic complexity by subtracting the contribution...
We investigate the formation of virtual black holes in the context of generalized uncertainty principle (GUP), as a mediator for a proton decay process which is forbidden by the standard model. Then, we calculate the bounds of the GUP deformation...
In this paper, we will argue that even though we cannot define consciousness, we can quantify   it using free will, and quantum uncertainty is in turn  a good measure of such a free will. We will also  demonstrate that this quantum uncertainty...
In the Jacobson formalism general relativity is obtained from thermodynamics.  This is done by using the Bekenstein-Hawking entropy-area relation. However, as a black holes will gets smaller, its temperature will increase.  This will cause the...
The generalized uncertainty principle describes the existence of a minimal measurable length scale, which is a postulate in almost all approaches to quantum gravity.  Recently, the application of its formalism to different fields, as nonlinear...
Casimir/squeezed vacuum breaks Lorentz symmetry, by allowing light to propagate faster than $c$. We looked at the possible transformation  symmetry group such vacuum could obey. By solving the semi-classical Einstein field equation in squeezed...
In this paper, a four dimensional  rotating Kaluza Klien (K-K) black hole was deformed using rainbow functions derived from loop quantum gravity and non-commutative geometry. We studied the thermodynamic properties and critical phenomena of this...
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)...
    In this article, we  will  demonstrate   that there          exist a fundamental 'consistency paradox' in evaporating black holes.  This is because a patient asymptotic observer would observe that the black hole totally evaporates before the...
In this paper, we will deform the thermodynamics of a BTZ black hole from rainbow  functions in gravity's rainbow. The rainbow functions will be motivated from results  in loop quantum gravity and Noncommutative geometry. It will be observed that...
In weak measurement thought experiment, an ensemble consists of M quantum particles and N states. We observe that separability of the particles is lost, and hence we have fuzzy occupation numbers for the particles in the ensemble. Without sharply...
We have calculated the Zeeman-fine energies of atomic Lithium (Li) by using the varying effective Landé g-factor method. We take the principle quantum number in the range; (2 1 n 0  ). For this range we find 26 different energy values and 325...
We have calculated the effective Lande-g factors, g* for the entangled states in Hydrogen and Hydrogen-like atoms. We show that g* takes integer values such as 0,1,2,3,... .For (s − s) entanglement, we have g* = 0. For (s − p) entanglement, we have ...
We calculate the Zeeman-fine energies of atomic potassium by using the energy eigenvalues for hydrogen-like atoms for n < 11. We find 18 different energy values and 153 wavelengths some of which are the same. The calculated wavelengths are in...
Squeezed quantum vacua seems to violate the averaged null energy conditions (ANEC’s), because they have a negative energy density. When treated as a perfect fluid, rapidly rotating Casimir plates will create vorticity in the vacuum bounded by them....
In this paper I have shown that squeezed modified quantum vacua have an effect on the background geometry by solving the semi-classical Einstein Field Equations in modified vacuum. The resultant geometry is similar to (anti) de Sitter spacetime....
This paper completes a previous published work that calculated analytically the relativistic wavefunctions for bound electron in a Compton diffusion process. This work calculates the relativistic propagator and the Wronskian of the two associated...
A covariant relativistic formalism for the electron-photon and nuclear dynamics is summarised making more accurate predictions in agreement with experiments for Compton scattering in shells with large electron binding energy. An exact solution for...