{"title":"On the Dark Matter Halo of the Milky Way: Anisotropic Pressure","authors":"Mithun Ghosh","doi":"10.1007/s10773-025-06090-7","DOIUrl":"10.1007/s10773-025-06090-7","url":null,"abstract":"<div><p>The current study delves into a novel class of static, spherically symmetric anisotropic fluid solutions to the Einstein field equations, aimed at elucidating the nature of the dark matter halo. To construct the model, we have used the phenomenological flat rotational curve condition and a specific expression for the radial pressure. The analytic solution produces well-behaved metric potentials and accurately reproduces the true mass of the Milky Way (MW) galaxy. Our findings indicate that the gravitational influence in the halo is inherently attractive. The circular orbits in the halo in which the particles are moving are stable. The halo is Newtonian in nature and filled with non-exotic dust fluid.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144929364","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The First Negative-order Matrix AKNS Flow and its Darboux Transformation","authors":"Wen-Xiu Ma","doi":"10.1007/s10773-025-06102-6","DOIUrl":"10.1007/s10773-025-06102-6","url":null,"abstract":"<div><p>This paper presents the first negative-order matrix AKNS flow, derived by associating a Lax pair containing a first-order pole in the spectral parameter with the matrix AKNS spectral problem. The corresponding Darboux transformation is constructed within the AKNS framework. Starting from a seed solution, a class of exact and explicit solutions to the nonlinear negative-order model is generated via a single application of the derived Darboux transformation.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144929382","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Experimenting with Quantum True Random Number Generators on NISQ Computers Using High-level Quantum Programming","authors":"Vaishnavi Kumar","doi":"10.1007/s10773-025-06104-4","DOIUrl":"10.1007/s10773-025-06104-4","url":null,"abstract":"<div><p>Random numbers are a central problem in the disciplines of scientific simulations, cryptography, randomized algorithms, and secure communications. The software-generated pseudorandom bit sequence is fast enough but does not meet the required randomness quality requirements. For this reason, more intensive physical hardware techniques are being developed to generate a real random sequence. This study presented a method for producing quantum truly random bit sequences as the best physical implementation of qubits. The proposed algorithm is implemented in an IBM Quantum Experience (IBMQ) quantum computer. Implementation is done through the IBM software platform QISKit. Quantum state rotation gate X, rotation gate Z, and phase shift gate are used. It performs the superposition of the initial state and gives random numbers on measured. QISKit SDK qasm simulator, real chip seven qubit superconductivity based IBMQ 127 qubit quantum computer is used to run the suggested quantum circuit. The proposed algorithm’s accuracy, validity, and randomness applicability have been validated by restart experiments, autocorrelation analysis, National Institute of Standards and Technology (NIST) NIST SP 800-90B and NIST SP 800 − 22 verified with low gate requirements. The proposed method can be an attractive and appropriate choice in the Noisy Intermediate Scale Quantum (NISQ) technology age. Modern-generation noisy quantum computers can mimic the noisy environment of quantum channels while at the same time acting as a testbed to see how the protocol works on real hardware.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144929365","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Briant Sabathino Harya Wibawa, C. Cari, A. Suparmi
{"title":"Effect of Rainbow Gravity, PDM, and Magnetic Field on Thermodynamics Properties of Charmonium and Bottomonium","authors":"Briant Sabathino Harya Wibawa, C. Cari, A. Suparmi","doi":"10.1007/s10773-025-06101-7","DOIUrl":"10.1007/s10773-025-06101-7","url":null,"abstract":"<div><p>This study investigates the Klein-Gordon (KG) oscillator equation in the spacetime of a cosmic string under the influence of rainbow gravity, an external magnetic field, and a position-dependent mass (PDM). An analytical solution of the KG oscillator is derived, and the resulting energy equation is used to compute the numerical energy levels of charmonium and bottomonium for two types of rainbow functions. The computed values show good agreement with experimental data. Furthermore, the energy equation is used to evaluate the partition function, from which various thermodynamic properties of charmonium and bottomonium are derived. For rainbow function 1, increasing the inverse temperature parameter <span>(:beta:)</span> results in a decrease in the partition function, internal energy, and entropy, while the free energy increases. The specific heat capacity exhibits a peak before declining. For rainbow function 2, the partition function and free energy increase with <span>(:beta:)</span>, whereas internal energy and entropy decrease. The specific heat capacity again displays a non-monotonic behavior, rising to a maximum and then decreasing as <span>(:beta:)</span> increases. These results reveal how rainbow gravity, magnetic field, and PDM collectively influence the quantum and thermodynamic characteristics of relativistic quark systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144926972","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Tomis Prajapati, Harsh Mehta, Shreya Banerjee, Prasanta K. Panigrahi, V. Narayanan
{"title":"Evolution of Entanglement Witness of Dicke State under Noise and Error Mitigation","authors":"Tomis Prajapati, Harsh Mehta, Shreya Banerjee, Prasanta K. Panigrahi, V. Narayanan","doi":"10.1007/s10773-025-06107-1","DOIUrl":"10.1007/s10773-025-06107-1","url":null,"abstract":"<div><p>The experimental verification of multipartite entangled states is essential for advancing quantum information processing. Entanglement witnesses (EWs) provide a widely used and experimentally accessible approach for detecting genuinely multipartite entangled states. In this work, we theoretically derive the entanglement witness for the four-qubit Dicke state and experimentally evaluate it on two distinct IBM 127-qubit Quantum Processing Units (QPUs), namely ibm_sherbrooke and ibm_brisbane. A negative expectation value of the witness operator serves as a sufficient condition for confirming genuine multipartite entanglement. We report the maximum (negative) values of the witness achieved on these QPUs as <span>(-0.178 pm 0.009)</span> and <span>(-0.169 pm 0.002)</span>, corresponding to two different state preparation protocols. Additionally, we theoretically investigate the effect of various noise channels on the genuine entanglement of a four-qubit Dicke state using the Qiskit Aer simulator. We show the behavior of the EW constructed under the assumption of Markovian and non-Markovian amplitude damping and depolarizing noises, bit-phase flip noise, and readout errors. We also investigate the effect of varying thermal relaxation time on the EW, depicting a bound on the <span>(T_1)</span> time required for successful generation of a Dicke State on a superconducting QPU.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144926974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A note on Reichenbach’s common cause completeness","authors":"Dominika Burešová","doi":"10.1007/s10773-025-06089-0","DOIUrl":"10.1007/s10773-025-06089-0","url":null,"abstract":"<div><p>Common cause completeness (CCC) is a philosophical principle that asserts that if we consider two positively correlated events, then it evokes a common cause event. The principle is due to H. Reichenbach and has mostly been studied in Boolean algebras and orthomodular lattices (quantum logics). The results published so far bring about a question of whether there is a small (countable) Boolean algebra with CCC. In this note, we construct such a Boolean algebra. Since finite Boolean algebras can satisfy CCC only trivially, this example is a smallest possible meaningful example.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144926973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Jensen-Mercer and related Inequalities for Coordinated Convex Functions with their Computational Analysis and Applications","authors":"Muhammad Toseef, Muhammad Aamir Ali","doi":"10.1007/s10773-025-06085-4","DOIUrl":"10.1007/s10773-025-06085-4","url":null,"abstract":"<div><p>In this article, we define the Jensen-Mercer inequality for coordinated convex functions. Defining Jensen-Mercer inequality on coordinates was a challenging problem for researchers working in the field of inequalities. Newly established inequality extends Jensen’s classical result to coordinate-wise convex functions, using Mercer-type conditions to derive bounds in multi-variable settings. It is instrumental in optimization and convex analysis for systems with interdependent variables under convex constraints. By use of a new definition, we establish Hermite–Hadamard-Mercer type inequalities for coordinated convex functions. Hermite–Hadamard-Mercer type inequality is the generalization of Hermite-Hadamard inequality, we can get Hermite-Hadamard inequality by taking endpoints in Hermite–Hadamard-Mercer type inequality. Also, we prove Midpoint–Mercer and Trapezoid–Mercer type inequalities on coordinates. The newly established inequalities are valid for the functions that are coordinated convex but may not be convex. Moreover, we give numerical examples to check the validity of newly established results and show that the bounds proved in this paper are better than the previously established results. The results of the study show that the inequalities hold for a wider range of functions. The use of new results can improve the accuracy of modeling and optimization of systems in fields such as economics, engineering, and physics. Also, we provide applications of the numerical integration methods of newly established results to develop the interest of the readers.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144923098","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Study of Single Vector-like B Quark Production in (egamma) Collisions Through 2 b-Jets and 4 Light Jets Final States","authors":"Qing-Guo Zeng","doi":"10.1007/s10773-025-06075-6","DOIUrl":"10.1007/s10773-025-06075-6","url":null,"abstract":"<div><p>Single vector-like B quark (VLQ-B), predicted in numerous new physics scenarios beyond the Standard Model (SM), can be explored through their production in association with a top quark and an electron neutrino in high-energy <span>(egamma)</span> collisions, specifically via the process <span>(e gamma rightarrow nu _e B bar{t})</span>. We investigate the discovery potential of this channel at a center-of-mass energy of 3 TeV, focusing on final states containing two b-jets and four light jets. By performing detailed simulations of the signal and relevant SM backgrounds, we present the <span>(3sigma)</span> and <span>(5sigma)</span> sensitivity reach in terms of parton-level parameter space regions for representative integrated luminosity scenarios. Our results demonstrate that VLQ-B can be discovered via this process within well-defined regions of the <span>(g^*-m_B)</span> parameter plane.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144918516","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Practical Analytical Approaches to Soliton Solutions, Dynamical Properties and Chaotic Behaviors of the Stochastic Nonlinear Schrödinger Equation Under the Influence of Multiplicative White Noise","authors":"Na Tang, Guo-Ning Zhang","doi":"10.1007/s10773-025-06113-3","DOIUrl":"10.1007/s10773-025-06113-3","url":null,"abstract":"<div><p>This paper investigates the soliton solutions, dynamic properties and chaotic behaviors of the generalized derivative stochastic nonlinear Schrödinger equation with multiplicative white noise. The model has a profound impact on the nonlinear optical phenomena. Firstly, the trial equation method is employed for mathematical analysis from which the solutions are derived straightforwardly using the direct integration method without additional assumptions. Secondly, a qualitative analysis of the equation is conducted to verify the existence of some special solutions. Based on the complete discrimination system for the polynomial method, this study successfully solves fourth- and fifth-degree polynomial equations and obtains richer and more comprehensive soliton solutions. Notably, stochastic averaging is adopted, which alters the periodic characteristics of the solution to exhibit more randomized and homogenized behaviors. Thirdly, the two-dimensional and three-dimensional graphs visually demonstrate the amplitude variations caused by the delay factor resulting from white noise. Finally, chaotic behaviors provide crucial theoretical support for nonlinear wave propagation under stochastic perturbations.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144914694","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analysis of an Axisymmetric Cylinder with Variable Thermal Conductivity and Point Loads in a Semi-Infinite Medium Via the Moore-Gibson-Thompson Model of Thermoelasticity","authors":"Vikas Sharma, Dinesh Kumar Sharma, Nantu Sarkar","doi":"10.1007/s10773-025-06098-z","DOIUrl":"10.1007/s10773-025-06098-z","url":null,"abstract":"<div><p>This study investigates the influence of variable thermal conductivity on a homogeneous, isotropic, axisymmetric cylindrical structure within the framework of the Moore–Gibson–Thompson model of generalized thermoelasticity. Several thermoelastic models are employed to analyze the primary field variables, including temperature distribution, displacement, and stress components. The governing equations are formulated and solved using harmonic time variations and Hankel transforms, yielding solutions in the transformed domain. The inverse Hankel transform is computed numerically using Romberg integration, enhanced by an extended Simpson’s one-third rule with extrapolation for improved accuracy. The resulting system of equations is solved using the Gauss elimination method under appropriate boundary conditions. Numerical results are illustrated graphically with respect to radial and axial positions, demonstrating the impact of variable thermal conductivity and the comparative behavior of different thermoelastic models.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144905078","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}