{"title":"On Quark Substructures in an Inspired Unified Model","authors":"Adil Belhaj, Salah Eddine Ennadifi","doi":"10.1007/s10773-025-05908-8","DOIUrl":"10.1007/s10773-025-05908-8","url":null,"abstract":"<div><p>Motivated by the growing attention devoted to the Quantum Chromodynamics sector of the Standard Model, and the recent observations of non-standard hadronic states, a possible substructure of quarks <span>(q_{f}equiv C_{ij}|k_{i}k_{j}rangle )</span> in terms of four colorless bound <i>hyperparticles</i> <span>( k_{i(=0,ldots ,3)})</span> is investigated in a <i>SO</i>(10)-inspired unified model. This aims to define a subtle structure of matter as well as an explanation of some particularities of quarks. Precisely, these hyperparticles <span>(k_{i})</span> are bound by a <span>(SU(3)_{h})</span> <i>hypercolor</i> force under which they are assumed to be charged. Exploiting certain known data, the masses and the charges of such fundamental particles are discussed along with the emerged four extra quarks <span>(q_{f}equiv delta _{ii}|k_{i}k_{i}rangle )</span> and three <i>hyperweak</i> bosons <span>(W_{h})</span>.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143423469","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}
R. Julius, M. Z. K. Zulkifpeli, A-B. M. A. Ibrahim
{"title":"Broadband Squeezed States in Two-Octave Single-Mode Multichannel Waveguide Systems","authors":"R. Julius, M. Z. K. Zulkifpeli, A-B. M. A. Ibrahim","doi":"10.1007/s10773-025-05911-z","DOIUrl":"10.1007/s10773-025-05911-z","url":null,"abstract":"<div><p>This study investigates the properties of broadband squeezed states in a two-octave system comprising single-mode nonlinear waveguides with second-order nonlinearity. By examining various input state configurations, the study investigates squeezing features across the first, second, and fourth harmonic generations using semi-analytically phase space representation. In the first octave, all channels exhibit stable squeezing at the fundamental frequency, particularly when initialized in coherent states. The second-octave channels show robust squeezing at the second harmonic, with the central channel demonstrating optimal performance. Higher harmonic frequencies reveal that higher initial states in the first octave amplify squeezing, emphasizing the cumulative effect of nonlinear interactions. These findings highlight the importance of input state configuration and coupling conditions in optimizing squeezing performance and may provide valuable insights for advancements in quantum optics applications. </p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143423470","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 Static Charged Black Holes with Weyl Corrections","authors":"Ahmad Al-Badawi, İzzet Sakallı","doi":"10.1007/s10773-025-05905-x","DOIUrl":"10.1007/s10773-025-05905-x","url":null,"abstract":"<div><p>This study investigates static charged black holes with Weyl corrections to the Einstein-Maxwell action. By extending the classical solutions, we incorporate the influence of the Weyl tensor coupling with the electromagnetic field tensor, deriving novel black hole solutions under this framework. The characteristics of the derived spacetimes, including their geometrical structure and physical properties, are meticulously examined. Key features explored include geodesics, photon spheres, and quasinormal modes, providing insights into the stability and dynamics around such black holes. Additionally, the deflection of light and the corresponding shadow cast by these black holes are analyzed, revealing the modifications induced by Weyl corrections. This study aims to enrich the understanding of how higher-order tensor interactions can influence observable astrophysical phenomena in the vicinity of compact objects.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143388702","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":"Explicit Solutions to the n-dimensional Semi-stationary Compressible Stokes Problem","authors":"Lijun Zhang, Qiong Zhao, Xuwen Huo, Chaudry Masood Khalique","doi":"10.1007/s10773-024-05825-2","DOIUrl":"10.1007/s10773-024-05825-2","url":null,"abstract":"<div><p>The <i>n</i>-dimensional semi-stationary compressible Stokes equations, established to model the dynamics of vortices in the Ginzburg-Landau theories in superconductivity, is a simplification of the isentropic compressible Navier-Stokes equations. This model equation can also be derived from the equations for the flows in compressible porous media in petroleum engineering or in compressible tissues. In this work, we investigate the <i>n</i>-dimensional semi-stationary compressible Stokes equations and obtain a family of explicit solutions in which the density does not change with space variables but decays to zero with time increasing exponentially, while the velocity is a quadratic polynomial of the space variables. It is worth pointing out that our results not only include the known results for <span>(n=2)</span> and <span>(n=3)</span> in Xue and Dong (Int. J. Theor. Phys. 63(6), 151 (2024)), but also present the explicit solutions to the semi-stationary compressible Stokes equations in arbitrary higher dimensional space.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143388931","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":"Conclusive High-dimensional Multiparty Quantum State Sharing in Amplitude-damping Channel","authors":"Jiangang Tang, Nueraminaimu Maihemuti, Jiayin Peng","doi":"10.1007/s10773-025-05906-w","DOIUrl":"10.1007/s10773-025-05906-w","url":null,"abstract":"<div><p>To generalize the schemes of Hu et al. (Quantum Inf. Process. <b>21</b>, 3 2022) from two-level and three-level quantum systems to high-level quantum system, a definitive three-party quantum state sharing (QSS) protocol in an amplitude damping environment is proposed to distribute an arbitrary unknown single-qudit quantum state. To achieve this goal, we initially propose the detailed steps for sharing a pure entangled three-qudit state as a quantum resource in an amplitude damping environment via entanglement compensation. Then, based on the pure entangled three-qudit state shared among trader and two agents, the secret quantum information of the trader, i.e., an unknown single-qudit quantum state is divided in such a manner that it can be probabilistically reconstructed by one recipient through the introduction of an auxiliary qubit and the application of appropriate unitary operations by the recipient, provided that two other participants cooperate. Subsequently, the above three-party sharing scheme is generalized to the case of multiparty sharing. The findings indicate that the success rate of the recipient in recovering the secret quantum information is solely determined by the smaller of the absolute values of the coefficients that define the quantum channel. In addition, regardless of the noise intensity in the amplitude damping channel, the fidelity of quantum state transmitted in our schemes can always reach 100%, which is impossible for existing QSS schemes in high-dimensional quantum system based on noisy environments.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143379764","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":"Responses of AdS Black Holes to the Collective Influence of Quintessence and String Cloud","authors":"H. Laassiri, A. Daassou, R. Benbrik","doi":"10.1007/s10773-025-05918-6","DOIUrl":"10.1007/s10773-025-05918-6","url":null,"abstract":"<div><p>This research paper explores the interplay between quintessence and a cloud of strings, focusing on their influence on critical points, behaviors, and fractional-order phase transitions in AdS black holes. We analyze the thermodynamic properties of AdS black holes surrounded by quintessence and a cloud of strings, with particular attention to the effects of thermal fluctuations on their thermodynamics. Using critical conditions, we derive approximate analytical expressions for the critical points applicable to all types of these black holes. We further study the impact of the quintessence parameter and the intensity of the cloud of strings on critical behaviors, employing three-dimensional visualizations to depict these effects for different values of <span>(omega _q)</span>. Our results show how these factors affect the locations of phase transitions and the regions where both phases coexist. In addition, we examine fractional-order phase transitions, which reveal significant transformations in the black hole system.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143379763","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":"Probability Density in Relativistic Quantum Mechanics","authors":"Taeseung Choi, Yeong Deok Han","doi":"10.1007/s10773-025-05919-5","DOIUrl":"10.1007/s10773-025-05919-5","url":null,"abstract":"<div><p>In the realm of relativistic quantum mechanics, we address a fundamental question: Which one, between the Dirac or the Foldy-Wouthuysen density, accurately provide a probability density for finding a massive particle with spin 1/2 at a certain position and time. Recently, concerns about the Dirac density’s validity have arisen due to the Zitterbewegung phenomenon, characterized by a peculiar fast-oscillating solution of the coordinate operator that disrupts the classical relation among velocity, momentum, and energy. To explore this, we applied Newton and Wigner’s method to define proper position operators and their eigenstates in both representations, identifying ’localized states’ orthogonal to their spatially displaced counterparts. Our analysis shows that both densities could represent the probability of locating a particle within a few Compton wavelengths. However, a critical analysis of Lorentz transformation properties reveals that only the Dirac density meets all essential physical criteria for a relativistic probability density. These criteria include covariance of the position eigenstate, adherence to a continuity equation, and Lorentz invariance of the probability of finding a particle. Our results provide a clear and consistent interpretation of the probability density for a massive spin-1/2 particle in relativistic quantum mechanics.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361791","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":"Quantum Information Splitting of An Arbitrary k-qubit Information Among n-agents Using Greenberger-Horne-Zeilinger States","authors":"Aman Sinha, Sachi Gupta, Sumit Kumar Pandey","doi":"10.1007/s10773-025-05907-9","DOIUrl":"10.1007/s10773-025-05907-9","url":null,"abstract":"<div><p><i>Quantum Information Splitting</i> (QIS) is the quantum cryptographic primitive using which the owner of a quantum information (or quantum state), known as the <i>dealer</i>, creates <i>n</i>-shares of the information and distributes them among <i>n</i>-participants, known as <i>agents</i>. Moreover, the QIS protocols ensure that the original information can be regenerated only when the dealer and all of the agents cooperate. To the best of our knowledge, no generalized QIS protocol exists that splits an arbitrary <i>k</i>-qubit information among arbitrary <i>n</i>-agents using Greenberger-Horne-Zeilinger (GHZ) state as the quantum channel where each agent is equally capable of regenerating the original information. In this paper, we propose a protocol for QIS of an arbitrary <i>k</i>-qubit information among <i>n</i>-agents using a quantum channel composed of <i>k</i> copies of <span>((n+1))</span>-qubit GHZ state. The proposed protocol is symmetric in the sense that each agent is equally capable of regenerating the information. However, owing to the no-cloning theorem, the dealer and agents unanimously select exactly one agent to regenerate the original information. The proposed protocol describes the strategy used by the dealer for share generation and the strategy used by the selected agent to regenerate the information with the cooperation of the dealer and remaining agents.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361722","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}
Imad Jaradat, Marwan Alquran, Mohammed Ali, Rawya Al-deiakeh
{"title":"Modeling Synchronized Propagation of Two Symmetric Waves in a New Two-Mode Extension of the ((1+1))-Dimensional Chaffee-Infante Model","authors":"Imad Jaradat, Marwan Alquran, Mohammed Ali, Rawya Al-deiakeh","doi":"10.1007/s10773-025-05914-w","DOIUrl":"10.1007/s10773-025-05914-w","url":null,"abstract":"<div><p>In this paper, specific functional operators, referred to as two-mode operators, are utilized to extend the <span>((1+1))</span>-dimensional Chaffee-Infante model into a generalized second-order evolutionary partial differential equation in the time coordinate. This extended model, termed the two-mode Chaffee-Infante model, characterizes the motion of two synchronized symmetric waves propagating under the influence of three embedded parameters: dispersion, nonlinearity, and phase velocity. Two effective methods, the extended tanh(coth)-expansion method and the sine(cosine)-function method, are employed to derive several traveling solutions for the proposed model. Additionally, the impact of other parameters on the propagation behavior of the TMCI is explored. It is believed that the findings in this paper will offer valuable insights into the study of nonlinear models of second-order in the time-coordinate.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361790","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}
Usman Younas, Ejaz Hussain, Jan Muhammad, Mohamed Sharaf, Mohammed E. Meligy
{"title":"Chaotic Structure, Sensitivity Analysis and Dynamics of Solitons to the Nonlinear Fractional Longitudinal Wave Equation","authors":"Usman Younas, Ejaz Hussain, Jan Muhammad, Mohamed Sharaf, Mohammed E. Meligy","doi":"10.1007/s10773-025-05916-8","DOIUrl":"10.1007/s10773-025-05916-8","url":null,"abstract":"<div><p>The novel family of materials known as magneto-electro-elastic materials has promising potential applications in nanotechnology due to its exceptional energy conversion capabilities. In this work, the different aspects of the fractional nonlinear longitudinal wave equation describing wave phenomena in a magneto electro-elastic circular rod have been studied. The soliton solutions are obtained by advanced methods, namely, (i) generalized Arnous technique (ii) generalized multivariate exponential rational integral function approach. Under certain parameters, this research finds new solitary wave solutions, including bright, singular, combined soliton, and dark solutions. Furthermore, sensitivity analysis and chaotic behavior of this problem is also discussed by the Galilean transformation. Moreover, the 2D, time series, and Poincare mapping as powerful tools for exploring the elusive nature of chaos are presented. The research presented in this study can improve the nonlinear dynamical characteristics of a specific system and validate the efficacy of the used methodologies. Our findings provide useful insights into the intricacy of nonlinear equations, enhancing prior research on the subject through the introduction of innovative techniques and the discovery of a significant number of solutions that have wide-ranging relevance.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 2","pages":""},"PeriodicalIF":1.3,"publicationDate":"2025-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143361768","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}