{"title":"Global Observables in Statistical Mechanics","authors":"C. J. F. van de Ven","doi":"10.1007/s10773-026-06426-x","DOIUrl":"10.1007/s10773-026-06426-x","url":null,"abstract":"<div><p>We present a canonical construction of global observables -sometimes referred to in the literature as macroscopic observables or observables at infinity- in statistical mechanics, providing a unified treatment of both commutative and non-commutative cases. Unlike standard approaches, the framework is formulated directly in the <span>(C^*)</span>-algebraic setting, without relying on any specific representation.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-026-06426-x.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148615109","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Gravitational-Wave Echoes from a Hayward Black Hole under Minimal Geometric Deformation","authors":"Owais Farooq","doi":"10.1007/s10773-026-06417-y","DOIUrl":"10.1007/s10773-026-06417-y","url":null,"abstract":"<div><p>We study a regular black-hole geometry obtained by applying a radial minimal geometric deformation (MGD) of dimensionless strength <span>(alpha )</span> to the Hayward seed, characterized by its ADM mass <i>M</i> and its regularity scale <i>g</i>, and then trace the construction through the odd-parity perturbation problem. The background sector is kept exact: the deformation function is written in closed form, the Einstein equations separate into seed and decoupler blocks (the decoupler being the additional effective source that deforms the seed), asymptotic flatness is preserved, and the deformed metric remains curvature regular at the center while inheriting the seed horizon structure in an explicit admissible range of the deformation parameter <span>(alpha )</span>. In the axial sector, we work under the frozen-source odd-parity closure appropriate to a static anisotropic background without an independent propagating odd matter mode. Within that framework, the master equation acquires an exact effective potential whose seed contribution retains the nonvacuum Hayward correction proportional to the radial derivative <span>(m_H'(r))</span> of the Hayward mass function <span>(m_H(r))</span> and whose decoupling contribution is isolated analytically. We show that this potential passes from a single-barrier profile to a genuine max–min–max structure in an open region of the <span>((g,alpha ))</span> plane, so the exact geometry itself supplies a trapping cavity without any externally imposed mirror or phenomenological reflecting surface. A representative characteristic evolution is then used to connect the potential structure to delayed secondary pulses in the time domain. The analysis makes each algebraic step explicit, states every assumption at the point of use, distinguishes exact statements from numerical evidence, and records the numerical methodology in enough detail for direct audit and reproduction.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614733","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":"Hydro-Stochastic and Geometric of Graphene Dirac Quasiparticles Dynamics","authors":"Abdelmalek Bouzenada, Rami Ahmad El-Nabulsi","doi":"10.1007/s10773-026-06424-z","DOIUrl":"10.1007/s10773-026-06424-z","url":null,"abstract":"<div><p>An exact hydrodynamic formulation of the graphene Dirac equation is derived by performing a complete Madelung decomposition of the two-component spinor field governing massless quasiparticles in monolayer graphene. In this case, beginning with the low-energy Dirac dynamics in the vicinity of a Dirac point, the spinor wave function is recast in terms of hydrodynamic variables composed of probability densities, phase fields, and spin-polarization degrees of freedom. Also, the transformation generates a self-consistent system of nonlinear continuity and momentum equations that follows directly from the underlying Dirac structure and preserves the full dynamical content of the theory without approximation. A stochastic generalization of the hydrodynamic representation is subsequently formulated, yielding the corresponding Fokker-Planck equations together with stochastic Hamilton-Jacobi relations that characterize the probabilistic evolution of graphene quasiparticle transport and incorporate fluctuation-driven contributions within a unified dynamical framework. Moreover, an exact inverse reconstruction scheme is further derived, establishing that the original graphene Dirac equation is uniquely recoverable from the hydrodynamic variables and their governing evolution equations, thereby ensuring mathematical equivalence between the spinorial and hydrodynamic descriptions. The formalism is subsequently extended through the definition of a geometric hydrodynamic reconstruction operator, which enables a covariant generalization to curved spacetime manifolds and effective graphene geometries associated with strain-induced and emergent geometric configurations. In this context, the resulting framework establishes an exact correspondence among spinorial, hydrodynamic, stochastic, and geometric representations of graphene Dirac quasiparticles and shows a unified theoretical basis for the investigation of transport phenomena, fluctuation dynamics, and emergent geometric effects in graphene-based systems.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614732","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":"Thermodynamics of Kiselev Black Holes in Rastall-Rainbow Gravity","authors":"Ines G. Salako, H. M. M. Ahissou","doi":"10.1007/s10773-026-06419-w","DOIUrl":"10.1007/s10773-026-06419-w","url":null,"abstract":"<div><p>We examine the thermodynamics of Kiselev black holes within the context of Rastall-Rainbow gravity, with particular attention to the role played by various surrounding matter fields, defined through the equation-of-state parameter <span>(omega )</span>. After analyzing spherically symmetric solutions, we present explicit formulas for key properties, including the horizon radius, energy density, anisotropic pressures, surface gravity, and Hawking temperature. An investigation of the energy conditions reveals that the Weak Energy Condition (WEC) imposes a constraint on the sign of the Rastall-Rainbow parameter <span>(D)</span> to guarantee a positive energy density. Meanwhile, the Strong Energy Conditions (SECs) serve to differentiate between attractive matter fields such as dust, radiation, and quintessence and those that are repulsive or exotic, like the cosmological constant or phantom fields. The formation of horizons and the resulting thermodynamic behavior are governed by the interplay between the Rastall coefficients, the exponent <span>(alpha )</span>, and the Rainbow functions <span>(Sigma (E)/Xi (E))</span>. Notably, violations of these conditions could potentially lead to the emergence of naked singularities or other unconventional geometric structures. Overall, our findings offer a unified perspective on how simultaneous modifications to gravity through both the Rastall-Rainbow framework and the specific nature of the ambient matter collectively shape black hole structure and thermodynamics. This work underscores possible signatures of energy-dependent gravitational effects in high-energy environments.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614817","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":"Characterizing some Measurements of the Heisenberg spin-XX Model with an External Magnetic Field","authors":"Nour Zidan, Razan Aldahash, Hamada Abdel-Hameed","doi":"10.1007/s10773-026-06399-x","DOIUrl":"10.1007/s10773-026-06399-x","url":null,"abstract":"<div><p>The behavior of quantum correlation, assessed through metrics such as trace distance quantum discord, local quantum uncertainty, measurement-induced nonlocality, and the geometric measure of discord, is examined in detail for the Heisenberg spin-XX model. This analysis considers the influence of an external magnetic field and the presence of Dzyaloshinskii-Moriya interaction. The Lindblad master equation was employed to solve the system. The results indicate that all measurements exhibit symmetry around <span>(J=0)</span>, primarily influenced by |<i>J</i>| rather than its sign, demonstrating similar responses. However, they vary at different times and magnetic fields. The findings indicate that increasing the Dzyaloshinskii-Moriya (DM) interaction parameter enhances various performance metrics, including all measurements. The dissipation parameter greatly influences the lifetime of quantum correlations in the Heisenberg XX spin system.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614562","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":"Examining Possible Doubly Topped Baryon Configurations","authors":"M. Shekari Tousi, K. Azizi","doi":"10.1007/s10773-026-06409-y","DOIUrl":"10.1007/s10773-026-06409-y","url":null,"abstract":"<div><p>We present a comprehensive theoretical assessment of the masses of possible baryonic configurations characterized by the presence of two heavy top quarks, including <span>(Xi _{ttu})</span>, <span>(Xi _{ttd})</span>, <span>(Omega _{tts})</span>, <span>(Omega _{ttc})</span>, and <span>(Omega _{ttb})</span> systems. This analysis is rigorously executed within the specialized framework of two-point <span>(textrm{QCD})</span> sum rules, focusing on their predicted ground state masses. Our interest in these systems arises from recent CMS and ATLAS reports indicating a pseudoscalar excess close to <span>(tbar{t})</span> threshold. Our evaluation incorporates both perturbative terms and nonperturbative effects, including condensate contributions up to dimension eight. Based on our results, the extracted central masses for all channels are slightly above the sum of the constituent quark masses, which is consistent with the inherent uncertainties of the method. These quantitative predictions provide a useful first-principle theoretical reference, which may help future experimental searches for such heavy configurations at the LHC and inform sensitivity studies at next-generation facilities such as the FCC.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614691","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 Problem of Time in Reparametrization Invariant System: Dynamics Generated by Deparametrized Hamiltonian","authors":"Mahendra Joshi","doi":"10.1007/s10773-026-06416-z","DOIUrl":"10.1007/s10773-026-06416-z","url":null,"abstract":"<div><p>The General Theory of Relativity (GR) is a reparametrization invariant and non deparametrizable theory, afflicted with the problem of time when canonically quantized. Therefore, in theories of Quantum Gravity the notion of time evolution is somewhat subtle. Over the last several decades, numerous approaches have been proposed and discussed to recover a meaningful notion of temporal evolution for such theories. These include, the identification of internal clocks, deparametrization procedures, gauge fixing methods, and extended phase-space quantization. In this short review, we will briefly discuss the development of these ideas. Focusing on deparametrization procedure we also present an analysis of a reparametrization invariant simple model and show that the problem of time for this model can be sorted out. This is done essentially by promoting one of the observables of the theory to the level of time-like parameter. Our proposed model reflects essential features of a reparametrization invariant theory like GR. Moreover, this model, which we are going to discuss, is formally non- deparametrizable but it will be shown that a sort of deparametrization can still be achieved. This deparametrization is achieved by implementing the idea of noninteracting subsystems as was proposed in Page and Wooters mechanism. This in turn renders our theory free from the problem of time. We, therefore, expect that this short review and the discussion of a simple model could serve to refresh the very interesting topic of the problem of time in quantum gravity.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614204","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}
Yi Zheng, Jiarui Wu, Chenlei Fang, Ying Zhou, Wei Pan, Haobin Shi
{"title":"Security Analysis of Continuous-Variable Quantum Key Distribution Systems with Imperfect Photon Subtraction","authors":"Yi Zheng, Jiarui Wu, Chenlei Fang, Ying Zhou, Wei Pan, Haobin Shi","doi":"10.1007/s10773-026-06415-0","DOIUrl":"10.1007/s10773-026-06415-0","url":null,"abstract":"<div><p>The photon subtraction operation is proposed to enhance the entanglement between Gaussian entangled states, thereby improving the performance of continuous-variable quantum key distribution (CVQKD) systems. However, in practical CVQKD systems, the transmissivity of the beam splitters used in the photon subtraction operation may fluctuate, which may cause security issues. This paper investigates the practical security of CVQKD systems under imperfect photon subtraction operations and proposes security enhancement solutions. First, we model and analyze the impact of imperfections on the photon subtraction operation when the transmissivity of the beam splitters in the photon subtraction operation follows normal, beta, and exponential distributions respectively. These analyses show that such fluctuations reduce the success probability of the photon subtraction operation. Subsequently, if such fluctuations are not taken into account, as they may lead to an overestimation of the secret key rate due to inaccurate parameter estimation, they may introduce a security loophole into systems. To mitigate the negative impact of these fluctuations, we propose a new scheme, photon subtraction with the Mach–Zehnder interferometer (PSMZ), which is robust to fluctuations. In addition, we consider a Sagnac loop interferometric structure, where bidirectionally propagating modes travel along a common path and interfere at the same beam splitter. The proposed security improvement scheme can better mitigate transmissivity fluctuations, thereby improving the system performance and security.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614497","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}
Md. Mamunur Roshid, Ramy M. Hafez, Yakup Yildirim, Wen-Xiu Ma
{"title":"Bifurcation Analysis, Stability, and Unravelling Soliton Solutions of the Cubic-Quintic Nonlinear Model in Superconductivity for Steady Ion-Cyclotron Waves","authors":"Md. Mamunur Roshid, Ramy M. Hafez, Yakup Yildirim, Wen-Xiu Ma","doi":"10.1007/s10773-026-06395-1","DOIUrl":"10.1007/s10773-026-06395-1","url":null,"abstract":"<div><p>This work studies the dynamical behaviors of the generalized nonlinear evolution equation (GNLEE) introduced by Chen (2003), which is significant in explaining superconductivity in steady ion-cyclotron waves in nonhomogeneous plasma and drift cyclotron waves. This study investigates the model's dynamic properties using both analytical and numerical methods, with a focus on bifurcation analysis. First, wave transformation is used to convert the model into its standard form. This approach helps predict the creation or disappearance of equilibrium arguments, limit cycles, and soliton structures. The system's dynamic behavior is then analyzed using phase and Hamiltonian portraits for different parameter values. Furthermore, we identify dark-type bell-wave, bright periodic, kink, bright-type, anti-kink, and solitary-wave solutions by manipulating parameters, using their Hamiltonians, and integrating heteroclinic and homoclinic orbits. The visual representation of these characteristics is achieved by carefully selecting the appropriate parameters. Finally, the MI also studies the proposed model to explain how small changes in field amplitude give rise to solitary structures, domain walls, and vortices. MI study of the Landau–Ginsburg–Higgs model shows how nonlinear interactions influence wave evolution and establish stability constraints in optical, quantum, and cosmic environments. From the above analysis, the applied method is more effective at capturing complex phenomena.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10773-026-06395-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614498","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Dark Matter Halo with Exponential Profile: Impact on the BH Shadow and Accretion Disk","authors":"Malihe Heydari-Fard, Habibollah Razmi, Zahra Azad","doi":"10.1007/s10773-026-06418-x","DOIUrl":"10.1007/s10773-026-06418-x","url":null,"abstract":"<div><p>Considering a black hole immersed in a dark halo described by an exponential density profile, and following Ref. [1], we derive the general analytical solution to the Einstein’s equations for the case where the mass of the galaxy is much smaller than the length-scale of the halo. Then, we study the null geodesics and calculate the black hole shadow radius and compare it with the shadow of the black hole surrounded by various matter distribution profiles in the galactic halo, such as the Hernquist, Navarro-Frenk-White, Burkert, Taylor -Silk profiles. Using the M87* and Sgr A* shadow data obtained by the Event Horizon Telescope, we constrain the compactness parameter of the exponential dark matter halo. Finally, we investigate the electromagnetic properties of the accretion disk around such a black hole and compare its luminosity with those of other profiles. Our results show that the shadow radius is larger than that predicted by general relativity and larger than the shadow of a black hole surrounded by other density profiles. Furthermore, accretion disks in the presence of an exponential density profile are hotter and more luminous than those in halos described by other profiles.</p></div>","PeriodicalId":597,"journal":{"name":"International Journal of Theoretical Physics","volume":"65 8","pages":""},"PeriodicalIF":2.3,"publicationDate":"2026-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148614020","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}