arXiv subjects

Salwa Alsaleh

Publications and source records attributed to Salwa Alsaleh.

11 recordsLinked to original sources

arXiv2021

Quantum no-singularity theorem from geometric flows

In this paper, we analyze the classical geometric flow as a dynamical system. We obtain an action for this system, such that its equation of motion is the Raychaudhuri equation. This action will be used to quantize this system. As the Raychaudhuri equation is the basis for deriving the singularity theorems, we will be able to understand the effects such a quantization will have on the classical singularity theorems. Thus, quantizing the geometric flow, we can demonstrate that a quantum space-time is complete (non-singular). This is because the existence of a conjugate point is a necessary condition for the occurrence of singularities, and we will be able to demonstrate that such conjugate points cannot occur due to such quantum effects.

hep-th↗

arXiv2019

Proton Decay and the Quantum Structure of Spacetime

Virtual black holes in noncommutative spacetime are investigated using coordinate coherent state formalism such that the event horizon of black hole is manipulated by smearing it with a Gaussian of width $ \sqrt θ$, where $ θ$ is the noncommutativity parameter. Proton lifetime, the main associated phenomenology of the noncommutative virtual black holes, has been studied: first in $4$ dimensional spacetime and then generalized to $D$ dimensions. The lifetime depends on $ θ$ and the number of spacetime dimensions such that it emphasizes on the measurement of proton lifetime as a potential probe for the micro-structure of spacetime.

hep-th↗

arXiv2018

Path Integral for Non-Paraxial Optics

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 generalized Schrödinger equation deformed by the existence a minimal measurable length. Using this analogy, we investigated the consequences of a minimal length in this optical system. This path integral has been used to obtain instanton solution for such a optical systems. Moreover, the Berry phase of this optical system has been investigated. These results may disclose a new way to use the path integral approach in optics. Furthermore, as such system with an intrinsic minimal length have been studied in quantum gravity, the ultra-focused optical pluses can be used as an optical analog of quantum gravity.

quant-ph↗

arXiv2018

Thermodynamic and Holographic Information Dual to Volume

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 of the background AdS spacetime from the deformation of the AdS spacetime. It will be demonstrated that this regularized fidelity susceptibility has the same behavior as the thermodynamic volume and that the regularized complexity has a very different behavior. As the information dual to different volumes in the bulk would be measured by the fidelity susceptibility and the holographic complexity, this paper will establish a connection between thermodynamics and information dual to a volume.

hep-th↗

arXiv2018

Time-Dependent Strain in Graphene

We will analyse the effect of time-dependent strain on a sheet of graphene by using the field theory approach. It will be demonstrated that in the continuum limit, such a strain will induce a non-abelian gauge field in graphene. We will analyse the effective field theory of such system near the Dirac points and study its topological properties.

cond-mat.mes-hall↗

arXiv2018

Quantum Fluctuations from Thermal Fluctuations in Jacobson Formalism

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 thermal fluctuations to also increase, and these will in turn correct the Bekenstein-Hawking entropy-area relation. Furthermore, with the reduction in the size of the black hole, quantum effects will also start to dominate. Just as the general relativity can be obtained from thermodynamics in the Jacobson formalism, we propose that the quantum fluctuations to the geometry can be obtained from thermal fluctuations.

gr-qc↗

arXiv2018

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

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.

physics.gen-ph↗

arXiv2017

Virtual Black Holes from Generalized Uncertainty Principle and Proton Decay

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 lower bounds of the GUP deformation parameter by the experimental bound on the half life of the proton.

physics.gen-ph↗

arXiv2017

Thermodynamics of BTZ Black Holes in Gravity's Rainbow

In this paper, we 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 the thermodynamics gets deformed due to these rainbow functions, indicating the existence of a remnant. However, the Gibbs free energy does not get deformed due to these rainbow functions, and so the critical behaviour from Gibbs does not change by this deformation.This is because the deformation in the entropy cancel's out the temperature deformation.

physics.gen-ph↗

arXiv2017

Relativistic Dynamics of the Compton Diffusion on a Bound Electron

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 the Dirac equation for an electron in the nuclear Coulomb field is obtained, in order to write the relativistic dynamics for this QED process. This is a preparation for the calculation of the relativistic cross-section for Compton scattering on bound electrons; as a precision test for QED.

physics.hist-ph↗

arXiv2017

Thermodynamics of Rotating Kaluza-Klein Black Holes in Gravity's Rainbow

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 deformed black hole. The deformed temperature and entropy showed the existence of a Planckian remnant. The calculation of Gibbs free energy $ G$ for the ordinary and deformed black holes showed that both share a similar critical behaviour.

gr-qc↗