arXiv subjects

A. A. Alshehri

Publications and source records attributed to A. A. Alshehri.

3 recordsLinked to original sources

arXiv2026

Quantum-Conditioned Curvatures in Spacetime Surrounding Kerr-Newmann Black Hole

This research examines the possibility whether the curvatures found in conventional General Relativity (GR) are the only existing ones, using both analytical and numerical techniques. To this end, we introduce a thorough investigation of Riemann curvatures in the spacetime surrounding a Kerr-Newmann black hole, which is distinguished by its specific electric charges and rotational dynamics. We apply a geometric quantization ansatz that centers on the quantization of the metric tensor, from which the complete set of field equations can be derived. The conformal transformation of the standard metric tensor upholds all the principles of GR while also extending its applicability to lower (quantum) scales. We recognize two types of Riemann curvatures. In addition to the positive curvatures present in classical GR formulations, we also find significant negative curvatures at lower (quantum) scales. This may indicate quantum sources of gravitation that classical GR does not seem equipped to explore.

physics.gen-ph↗

arXiv2026

Stress-Energy Tensor for Modified General Relativity with Quantum-Deformed Metric in Riemann Spacetime

The generalized noncommutative Heisenberg algebra, which is based on the generalized uncertainty principle, imposes a minimal length uncertainty on quantum mechanics (QM), on one hand. On the other hand, the quantum-induced spacetime which is based on quantum-deformed metric through geometric quantization is proposed as additional curvatures on the relativistic tangent bundle on Finsler manifold. An additional term that incorporates minimal length discretization along with second-order derivatives of tangent covectors, thereby suggesting an approach to reconcile the principles of QM with General Relativity (GR), is utilized for the construction of a torsion-free quantum-deformed metric on Riemann manifold. Consequently, it is proposed that quantum-induced revisions to the symmetric stress-energy tensor, source of spacetime curvature, along with the current density related to the gauge transformations of gravity, ought to be taken into account in the matter Lagrangian with electromagnetic and scalar components. Vanishing covariant derivative of the quantum-induced stress-energy tensor suggests that the corresponding continuity equation implies that the gravitational fields do work on the classical and quantum matter and vice versa and the non-gravitational energy and momentum are no longer entirely conserved. For vanishing tangent covector derivatives and/or minimal length uncertainty, the classical formulations of the Einstein stress-energy tensor are retained and accordingly that of GR and QM. We conclude that the proposed quantum-induced formulation of the stress-energy tensor is fundamentally suitable for both classical and quantum-induced field equations.

gr-qc↗

arXiv2024

An appropriate statistical approach for nonequilibrium particle production

The incapability of thermal models to accurately reproduce the horn-like structure of the Kaon-to-pion ratio measured at AGS, SPS, and low RHIC energies, as well as confirmed in the beam energy scan program, has long been a persistent problem. This issue is believed to have arisen due to the inappropriate application of statistics, particularly the extensive additive Boltzmann-Gibbs (BG) statistics. The assumption that the analysis of particle production, a dynamic nonequilibrium process, should be primarily conducted using extensive BG or nonextensive Tsallis statistics, has proven to be an unsuccessful approach that has been followed for several decades. By employing generic (non)extensive statistics, two equivalence classes $(c,d)$ emerge, thereby undermining the validity of any ad hoc assumption. Consequently, the degree of (non)extensivity exhibited by the statistical ensemble is determined by its own characteristics. This encompasses both extensive BG statistics, characterized by $(1,1)$, and nonextensive Tsallis statistics, characterized by $(0,q)$. The energy dependence of light-, $γ_q$, and strange-quark occupation factor, $γ_s$, suggests that the produced particles are most appropriately described as a nonequilibrium ensemble. This is evidenced by a remarkable nonmonotonic behavior observed in the $\mathrm{K}^+/π^+$ horn, for instance. On the other hand, the resulting equivalence classes $(c,d)$ are associated with a generic nonextensivity related to extended exponential and Lambert-$W_0$ exponentially generating distribution function, which evidently arise from free, short- and long-range correlations. The incorporation of generic nonextensive statistics into the hadron resonance gas model yields an impressive ability to rightfully reproduce the nonmonotonic $\mathrm{K}^+/π^+$ ratio.

hep-ph↗