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Thermodynamic Geometry of Alpha Statistics: A Unified Quantum Statistical Framework

We propose and study a generalized quantum statistical framework–referred to as alpha statistics–that continuously interpolates between Bose–Einstein and Fermi–Dirac statistics and naturally extends into the hyperbosonic regime for [Formula: see text]. Inspired by Haldane’s exclu...

Exploring the exact soliton solutions and dynamical analysis to the model in fluid dynamics and plasma physics

This research studies the modified equal-width Burgers equation, an important model in both fluid dynamics and plasma physics. This model is commonly used to describe the traffic flow, optical pulses in fibers, ion-acoustic plasma waves, shallow water waves, etc. The new P/Q-expa...

Maxwell's Equations in Spherically Symmetric Black Holes with Phantom Global Monopoles

In this paper, we investigate the electromagnetic field tensor inside a spherically symmetric space-time. In particular, we are interested in a metric that describes both ordinary and phantom global monopoles in a black hole with phantom global monopoles. In this curved spacetime...

On the Emergence of Kerr-Schild Geometry from Coherent Weyl Spinor Currents

We analyse the conditions under which a Kerr–Schild metric structure [Formula: see text] emerges from a spacetime framework sourced by fermionic spin currents. The symmetric metric perturbation decomposes into an isotropic sector [Formula: see text] and an anisotropic sector [For...

Robust Parameter Estimation of Organic Thin-Film Transistor Models Using Multi-Objective Portia Spider Optimization

The increasing need for flexible and cost-effective electronic devices has highlighted the significance of the accuracy in modeling organic thin-film transistors for effective circuit design. Conventional parameter extraction techniques have been found inadequate in modeling thes...

Geometric Bounds on Metric Communication Channels in Static Spherically Symmetric Spacetimes

We examine a restricted family of static, spherically symmetric zero-redshift geometries that act as localized radial deformations of the flat radial metric. The motivation is simple: for radial null curves between two fixed areal-radius spheres, the same coefficient that changes...

Frequency Domain Perception Filtering for Road Night Vision Image Enhancement in Edge-Cloud Scenario

This paper centers on edge-cloud-based road image enhancement under low-light nighttime conditions, with a detailed analysis of the frequency-domain characteristics of nighttime road surface images. Currently, deep learning-based night vision image enhancement methods are confron...

Stochastic Worldlines and an Emergent Frustrated String Equation of State

We show that coarse-graining the noise-history label of a relativistic point particle subject to Gaussian multiplicative noise generates a non-degenerate effective two-dimensional worldsheet geometry, with a transverse scale set by the noise amplitude and an explicit coarse-grain...

Criticality Quenching and Microstructure of Quintessence-AdS Black Holes

In this work, we investigate the thermodynamic criticality and Ruppeiner geometry of four-dimensional Reissner-Nordström Anti-de Sitter (RN-AdS) black holes surrounded by quintessence, with particular emphasis on the grand canonical ensemble at fixed electric potential. We first...

Design Strategies for Complex Hydrides AMg 3 H 9 (A = Tc, Ru, Rh) for Hydrogen Storage: A DFT Investigation

In this study, their structural, electronic, mechanical, and hydrogen storage properties were systematically examined using density functional theory (DFT). The hydrides were structurally optimized with a lattice parameter of 4.569 Å, 4.596 Å and 4.627 Å for TcMg 3 H 9 , RuMg 3 H...

Topology and Minimal Group Representation of the Classical Dual Sector of Quantum Theory

In this paper we compute and analyze the geometrical and topological changes in quantum physics within the new framework of our recent work [APL Quantum 2, 016104 (2025)] on Classicalization. Thus, the results of our paper here are twofold: Topology, geometry and Classicalization...

Investigations of Pseudo-Shouten symmetric spacetimes in f ( R )-gravity vacuum solutions

Pseudo-Schouten symmetric spacetimes are examined under a differential condition on the Schouten tensor, producing explicit relations for the scalar curvature, the Ricci tensor, and the associated covector field. It is shown that the associated covector is a Ricci eigenvector and...

Characterizations of twisted spacetimes

Twisted spacetimes generalize Robertson-Walker cosmological models by allowing the scale factor to depend on both spatial position and time, thereby modeling inhomogeneous cosmic expansion. This article establishes geometric conditions under which a Lorentzian manifold becomes a...

Carol numbers

We present some properties of Carol numbers. We show the relationship between Carol numbers and Mersenne numbers and also between Carol numbers and other numbers. We also study the relationship between other classes of numbers, sometimes arriving at interesting hypotheses that re...

An Efficient Spectral Technique Based on Operational Matrices to Solve Variable Coefficients Time-Space Fractional Advection-Diffusion Equations

This investigation presents a robust spectral technique for accurately solving timespace fractional advection-diffusion equations (FADEs) characterized by Caputo-type derivatives with coefficients that vary in both time and space. Such equations inherently model nonlocality and m...

The Economic Sin of the People of Lut: A Lesson Plan

The objective in this paper is to address topics of economic inequality, discrimination, and crime from the story of the people of Lut (Sodom and Gomorrah) for an Economics of Religion class. The sin of the people of Lut is placed in an economic context from the Talmud and the Mi...

Qualitative Results of Conformable Linear Volterra Integro-Dynamic Equations on Time Scales

We study a class of conformable linear Volterra integro-dynamic equations (CVIDEs) on arbitrary time scales. Using the Anderson–Georgiev conformable dynamic calculus, we first derive an equivalent Volterra integral equation through the conformable variationof- constants formula....

Cholesterol Management Gaps Among Patients With Established Coronary Artery Disease Hospitalized for Acute Coronary Events

BACKGROUND: Suboptimal cholesterol management in patients with coronary artery disease (CAD) may contribute to future cardiovascular events and increased health care utilization and costs. OBJECTIVES: The objectives of the study was to assess lipid-lowering medication use and low...

Organic Molecules for Photothermal Therapy in the Second Near-Infrared Window: Theoretical Exploration of Selenium Atomic Incorporation and Ethynyl-bridged Dual-Acceptor Strategy

The demand for efficient organic small-molecule photothermal agents (OSMPTAs) in the second near-infrared (NIR-II) window is critical for deep-tissue photothermal therapy. Using DFT and TDDFT, we investigated the impact of selenium (Se) incorporation and an ethynyl-bridged dual-a...

Broadband Chaos Generation and Anti-Synchronization in a Feed-Forward Optical Neural Network via Optical Injection

The operation of an optical neural network via feed-forward (FF) configuration is experimentally simulated in the laboratory. The FF setup is tested using optical injection (OI), and the behavior of follower laser diodes (FLDs) subjected to chaotic modulation is examined. The las...