Pagdame Tiebekabe, V. A. Monwanou, C. H. Miwadinou
{"title":"Comparative Analysis of Preinvexity, Pseudo-Convexity, and Quasi-Convexity on Fractal Sets","authors":"Pagdame Tiebekabe, V. A. Monwanou, C. H. Miwadinou","doi":"10.1007/s10773-025-06114-2","DOIUrl":"10.1007/s10773-025-06114-2","url":null,"abstract":"<div><p>This paper extends the study of generalized convexity on fractal sets by exploring preinvexity, pseudo-convexity, and quasi-convexity within the framework of local fractional integrals. While prior research has primarily focused on <span>((tilde{h}_1, tilde{h}_2))</span>-preinvex mappings, we establish novel relationships between these generalized convexities and derive new integral inequalities that bridge their theoretical frameworks. Furthermore, we provide a comparative analysis of their properties and applications in numerical integration. To illustrate the relevance of our results, we include concrete examples and discuss potential interdisciplinary applications in fields such as fluid dynamics and fractal growth. The findings significantly enhance the understanding of generalized convexity on fractal sets, offering a broader theoretical and practical perspective.</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":"144905077","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":"Higher-Order Fermi–Walker Transport Dynamics and the Induced Geometric Phase","authors":"Rıdvan Cem Demirkol","doi":"10.1007/s10773-025-06099-y","DOIUrl":"10.1007/s10773-025-06099-y","url":null,"abstract":"<div><p>We define higher-order Fermi–Walker derivatives of vector fields along curves in Euclidean 3-space using the Frenet–Serret frame. From the incompatibility of successive Fermi–Walker transports, we derive a geometric phase—termed the Fermi–Walker flow transport phase—which depends on the intrinsic geometry of the curve. We then examine this phase for various curve evolutions, including binormal, complex modified Korteweg–de Vries, and other integrable motions. Our formulation provides an explicit and unified method for computing the induced geometric phases in these settings.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144893938","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}
Nauman Raza, Saima Arshed, Muhammad Haider Ali Asghar
{"title":"Traveling wave solutions with modulation instability of coupled nonlinear Schrödinger equations via two analytical approaches","authors":"Nauman Raza, Saima Arshed, Muhammad Haider Ali Asghar","doi":"10.1007/s10773-025-06092-5","DOIUrl":"10.1007/s10773-025-06092-5","url":null,"abstract":"<div><p>This paper investigates the soliton pulses of various kinds and their behavior as they traverse a birefringent optical fiber. Coupled nonlinear Schrödinger equations (CNLSEs) is a nonlinear model to describe light propagation within these fibers that accounts for coherent and incoherent nonlinear coupling phenomena. In particular, this study investigates several optical solitons subjected to third-order nonlinearity and group-velocity dispersion, which is physically significant regarding elliptical core optical fiber. This paper offers dark, bright, singular, periodic, and periodic-singular solitons to CNLSEs by employing the <span>(phi ^6)</span>-expansion technique and the <span>(G'/(bG'+G+a))</span>-expansion technique. It also provides 2D and 3D graphical illustrations of these solutions using fixed parameter values to showcase their physical significance. The modulation instability of the proposed model is also examined in this paper. The methods used are more accessible, effective, and computationally efficient. These methods can be applied to tackle complex problems obtained in mathematical physics, engineering, and optical fiber technology.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144868818","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":"On Obtaining New MUBs by Finding Points on Complete Intersection Varieties over (mathbb {R})","authors":"Arindam Banerjee, Kanoy Kumar Das, Ajeet Kumar, Rakesh Kumar, Subhamoy Maitra","doi":"10.1007/s10773-025-06094-3","DOIUrl":"10.1007/s10773-025-06094-3","url":null,"abstract":"<div><p>Mutually Unbiased Bases (MUBs) are closely connected with quantum physics and the structure has a rich mathematical background. We provide equivalent criteria for extending a set of MUBs for <span>(mathbb {C}^n)</span> by studying real points of a certain affine algebraic variety. This variety comes from the relations that determine the extendability of a system of MUBs. Finally, we show that some part of this variety gives rise to complete intersection domains. Further, we show that there is a one-to-one correspondence between MUBs and the maximal commuting classes (bases) of orthogonal normal matrices in <span>(mathcal {M}_n({mathbb {C}}))</span>. It means that for <i>m</i> MUBs in <span>(mathbb {C}^n)</span>, there are <i>m</i> commuting classes each consisting <i>n</i> commuting orthogonal normal matrices and the existence of maximal commuting basis for <span>(mathcal {M}_n({mathbb {C}}))</span> ensures the complete set of MUBs in <span>(mathcal {M}_n({mathbb {C}}))</span>.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144868709","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":"Entanglement and Steering of Three-Mode Field in Trio Coherent States","authors":"Ahmed A. Zahia, Eied Khalil, S. Al-Awfi","doi":"10.1007/s10773-025-06072-9","DOIUrl":"10.1007/s10773-025-06072-9","url":null,"abstract":"<div><p>This paper examines quantum correlations of a two-qubit system interacting with a tripartite mode field, focusing on entanglement and directional steering. For the initial trio coherent state and superposition atomic state, the analytical solution of the system is obtained. The tangle negativity measures the entanglement among three mode fields, while the steering function quantifies steerability between each pair of two-mode fields. The results reveal that system parameters, including the coupling strengths, excitation levels of the trio coherent state, and initial atomic state, strongly affect the development of entanglement and steering dynamics. Increasing the coupling strength between mode fields improves the entanglement for the pure states. However, the strength of steerability depends on the mode field interaction, where asymmetric steering is generated.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144861598","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":"Soliton and Lump Solutions of a (3+1)-dimensional Generalized B-type Kadomtsev-Petviashvili Equation in Fluid Mechanics","authors":"Zi-Yu Zhang, Da-Wei Zuo","doi":"10.1007/s10773-025-06097-0","DOIUrl":"10.1007/s10773-025-06097-0","url":null,"abstract":"<div><p>In this paper, we investigate the soliton and lump solutions of a (3+1)-dimensional generalized B-type Kadomtsev-Petviashvili equation in fluid mechanics. Through logarithmic transformation, we derive its bilinear form. Via the bilinear equation, both first-order and second-order soliton solutions of this eqaution are constructed. Furthermore, semi-rational solutions of this equation are obtained via Gram determinant approach. Specifically, lump chains and lump-kink solutions of this equation are successfully derived. The analytical results reveal that solitary waves propagate at constant velocities with their amplitudes and velocities exhibiting a proportional relationship. This implies that adjustments to the parameters will concurrently affect both the propagation velocity and amplitude of solitary waves. By employing contour figures and auxiliary lines, the periods and propagation velocities of lump chains and lump-kink waves are systematically computed. Notably, as the parameter <i>N</i> (the order of these solutions) increases, phenomena of fusion or fission emerge among these nonlinear waves. Additionally, by adjusting parameter, distinct types of lump waves can be observed that propagate along with the coordinate axes.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 9","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144853667","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}
Bingbing Luo, Jiahua Wei, Zhiqiang Ma, Haoran Hu, Zhen Ren, Ya Wang, Lei Shi
{"title":"Improving the Successful Probability of Quantum Dense Coding Through Bit Flip Channels Using Auxiliary Particles","authors":"Bingbing Luo, Jiahua Wei, Zhiqiang Ma, Haoran Hu, Zhen Ren, Ya Wang, Lei Shi","doi":"10.1007/s10773-025-06093-4","DOIUrl":"10.1007/s10773-025-06093-4","url":null,"abstract":"<div><p>In this paper, an effective proposal for quantum dense coding through bit flip channels is presented with the aid of auxiliary particles. The concrete implementation processes for our scheme are given by means of appropriate quantum circuits. Meanwhile, the whole successful probability of this proposed protocol is calculated in the different situations of the bit flip particle number. It has been demonstrated that the total successful probability of this modified proposal is higher than or at least equal to that of the typical scheme. This is an important advantage of this novel scheme. Moreover, the dense coding task can be performed with the successful probability of 100% at the cost of the introduction of auxiliary particles when the bit flip is occurred on no or only one particle. Furthermore, the channel capacity comparison is made between this proposed protocol and the typical scheme, and the physical realization possibility of this modified proposal is discussed based on the quantum circuits.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 8","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144810966","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 Heat Capacity of a Diatomic Gas at High Temperatures","authors":"Ji-Xuan Hou","doi":"10.1007/s10773-025-06095-2","DOIUrl":"10.1007/s10773-025-06095-2","url":null,"abstract":"<div><p>while the <span>(frac{7}{2})</span> plateau is a key theoretical prediction of the equipartition theorem, real-world experiments cannot provide an unambiguous observation on this plateau. This discrepancy underscores the necessity of classical statistical mechanics in explaining thermal behavior. In this paper, we model the diatomic molecule as a stretchable dumbbell, and calculate the partition function and thermodynamic quantities of this model. Our calculation shows that the rotational modes and the vibrational mode cannot be decoupled completely and the equipartition theorem becomes not applicable anymore. For a diatomic molecule with a harmonic interaction between the two atoms, our calculation shows that the heat capacity should reach a <span>(frac{9}{2})</span> plateau instead of the <span>(frac{7}{2})</span> plateau. The height of the plateau can be shifted by the anharmonicity in the potential. Moreover, simulations are performed on our diatomic model by using the Monte Carlo Metropolis algorithm. The Monte Carlo simulations reveal that replacing the interatomic potential with the more realistic Morse potential leads to a heat capacity plateau value higher than <span>(frac{9}{2})</span>, with the plateau increasing as the dissociation energy of the diatomic molecule decreases.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 8","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144810967","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":"Leptonic Decay Widths of Vector Charmonia in the Framework of Bethe-Salpeter Equation","authors":"Akshita Sharma, Shashank Bhatnagar","doi":"10.1007/s10773-025-06086-3","DOIUrl":"10.1007/s10773-025-06086-3","url":null,"abstract":"<div><p>We study the leptonic decays of ground and excited states of vector charmonia in the framework of Bethe-Salpeter equation. We calculate the electronic and muonic decay widths for ground and excited states of vector charmonia which are of relevance to cross section calculations of exclusive processes involving charmonium production.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 8","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163596","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}
David Chester, Xerxes D. Arsiwalla, Louis H. Kauffman
{"title":"Preons, Braid Topology, and Representations of Fundamental Particles","authors":"David Chester, Xerxes D. Arsiwalla, Louis H. Kauffman","doi":"10.1007/s10773-025-06087-2","DOIUrl":"10.1007/s10773-025-06087-2","url":null,"abstract":"<div><p>In particle phenomenology, preon models study compositional rules of standard model interactions. In spite of empirical success, mathematical underpinnings of preon models in terms of group representation theory have not been fully worked out. Here, we address this issue while clarifying the relation between different preon models. In particular, we focus on two prominent models: Bilson-Thompson’s helon model and Lambek’s 4-vector model. We determine the mapping between helon model particle states and representation theory of Lie algebras. Braided ribbon diagrams of the former represent on-shell states of spinors of the Lorentz group. Braids correspond to chirality, and twists, to charges. We note that this model captures only the <span>(SU(3)_ctimes U(1)_{em})</span> sector of the standard model. We then map the twists of helon diagrams to the weight polytope of <span>(SU(3)_c times U(1)_{em})</span>. The braid structure maps to chiral states of fermions. We also show that Lambek’s 4-vector can be recovered from helon diagrams. Alongside, we introduce a new 5-vector representation derived from the weight lattice. This representation contains both the correct interactions found in 4-vectors and the inclusion of chirality found in helons. Additionally, we demonstrate topological analogues of CPT transformations in helon diagrams. The braid diagrams of the helon model are the only ones that are self-consistent with CPT invariance. In contrast to field-theoretic approaches, the compositional character of preon models offers an analogous particle-centric perspective on fundamental interactions.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"64 8","pages":""},"PeriodicalIF":1.7,"publicationDate":"2025-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145163597","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}