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Dirac fermions on a surface with localized strain 局域应变表面上的狄拉克费米子
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-05-01 Epub Date: 2026-02-06 DOI: 10.1016/j.aop.2026.170385
Samuel B.B. Almeida, J.E.G. Silva, C.A.S. Almeida
We study the influence of a localized Gaussian deformation on massless Dirac fermions confined to a two-dimensional curved surface. Both in-plane and out-of-plane displacements are considered within the framework of elasticity theory. These deformations couple to the Dirac spinors via the spin connection and the vielbeins, leading to a position-dependent Fermi velocity and an effective geometric potential. We show that spin connection modifies the density of states near the origin and how this modification is altered by changing mechanical parameters. Analytical and numerical solutions reveal the emergence of asymptotically free states, but with changes in amplitude near the origin due to the modification of curvature mediated by Lamé coefficients. Upon introducing an external magnetic field, the effective potential becomes confining at large distances, producing localized Landau levels that concentrate near the deformation, thus enabling the evaluation of how mechanical coefficients affect the localization of states. A geometric Aharonov–Bohm phase is identified through the spinor holonomy. These results contribute to the understanding of strain-induced electronic effects in Dirac materials, such as graphene.
研究了局域高斯变形对二维曲面上无质量狄拉克费米子的影响。面内和面外位移都是在弹性理论的框架内考虑的。这些变形通过自旋连接和维埃尔线与狄拉克旋量耦合,导致位置依赖的费米速度和有效的几何势。我们展示了自旋连接改变了原点附近的态密度,以及这种改变是如何通过改变机械参数而改变的。解析解和数值解揭示了渐近自由状态的出现,但由于lam系数介导的曲率修正,在原点附近的振幅发生了变化。在引入外部磁场后,有效势在远距离上变得受限,产生集中在变形附近的局域朗道能级,从而能够评估力学系数如何影响状态的局域化。几何Aharonov-Bohm相通过旋量完整度被识别。这些结果有助于理解狄拉克材料(如石墨烯)中应变诱导的电子效应。
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引用次数: 0
Fubini–Study geometry, dynamics, and entanglement in KSEA-coupled two-spin system under magnetic field: Implications for quantum teleportation 研究磁场下ksea耦合双自旋系统的几何、动力学和纠缠:对量子隐形传态的启示
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-05-01 Epub Date: 2026-02-06 DOI: 10.1016/j.aop.2026.170386
Brahim Amghar , Mouhcine Yachi , M’bark Amghar , Abdallah Slaoui
We present a unified geometric and dynamical framework to investigate a two-spin system governed by the XXX Heisenberg model in the presence of an external magnetic field and an additional anisotropic KSEA exchange interaction. Using the Fubini–Study formalism, we derive the metric tensor of the corresponding quantum state space and compute the related Gaussian curvature. Our analysis reveals that the system evolves on a closed, anisotropic two-dimensional manifold embedded in P3, whose geometry is tuned by interaction strengths, with a topological redundancy emerging during the system’s dynamics. We also examine the geometric phase for arbitrary and cyclic evolutions, identifying the KSEA interaction as the primary factor shaping its behavior. We investigate quantum dynamics through evolution speed, Fubini–Study distance, and the brachistochrone problem, finding that stronger KSEA coupling or a more intense magnetic field reduces the optimal evolution time, thereby accelerating state transformations. Entanglement, quantified by the concurrence measure, is stabilized through KSEA coupling and enhanced by the magnetic field. From a geometric perspective, entanglement reshapes the curvature and geometric phase accumulation, while from a dynamical perspective it accelerates evolution and lengthens geodesic paths between the two-spin states. Finally, our analysis is applied to the concrete task of quantum teleportation, where we show that teleportation fidelity is closely related to the Gaussian curvature, geometric phase, speed, Fubini–Study distance, and brachistochrone time, and that fine-tuning the KSEA coupling significantly enhances teleportation performance.
我们提出了一个统一的几何和动力学框架来研究在外部磁场和额外的各向异性KSEA交换相互作用存在下由XXX海森堡模型控制的双自旋系统。利用Fubini-Study的形式,导出了相应量子态空间的度量张量,并计算了相关的高斯曲率。我们的分析表明,系统在嵌入在P3中的一个封闭的各向异性二维流形上演化,其几何形状由相互作用强度调整,在系统动力学过程中出现拓扑冗余。我们还研究了任意和循环演化的几何相位,确定了KSEA相互作用是形成其行为的主要因素。我们通过演化速度、富比尼-研究距离和臂时问题来研究量子动力学,发现更强的KSEA耦合或更强的磁场会缩短最优演化时间,从而加速状态转换。量子纠缠通过KSEA耦合得到稳定,并通过磁场得到增强。从几何角度来看,纠缠重塑了曲率和几何相位积累,而从动力学角度来看,它加速了演化并延长了两自旋态之间的测地线路径。最后,我们的分析应用于量子隐形传态的具体任务,我们发现隐形传态保真度与高斯曲率、几何相位、速度、富比尼-研究距离和brachistochrone时间密切相关,并且微调KSEA耦合可以显著提高隐形传态的性能。
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引用次数: 0
Theoretical study of topological magnon transport in α-RuCl3: Effects of interactions on thermal Hall conductivity α-RuCl3中拓扑磁振子输运的理论研究:相互作用对热霍尔电导率的影响
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-05-01 Epub Date: 2026-02-12 DOI: 10.1016/j.aop.2026.170393
Hamid Mosadeq , Mohammad-Hossein Zare
The layered honeycomb material α-RuCl3 represents a significant candidate for the realization of a Kitaev quantum spin liquid (QSL) due to its pronounced spin–orbit coupling and bond-directional interactions. Experimental observations of a half-quantized thermal Hall effect under applied magnetic fields indicate the potential presence of fractionalized excitations, possibly of Majorana origin. However, the lack of definitive theoretical and experimental consensus necessitates further investigation into related magnetic phases. This study concentrates on the partially polarized ferromagnetic phase of α-RuCl3, which exhibits critical symmetry features analogous to those of the QSL state and may display comparable topological thermal transport signatures. Utilizing the framework of linear spin-wave theory, we calculate the thermal Hall conductivity (κTHxy) for five representative sets of exchange parameters derived from an extended minimal KJΓΓJ3 model. This Hamiltonian incorporates the first-neighbor Heisenberg interaction (J), the Kitaev interaction (K), and third-nearest-neighbor Heisenberg interactions (J3), in addition to off-diagonal Γ and Γ terms. Our analysis reveals model-dependent behavior in both the magnitude and sign of κTHxy, with temperature-dependent sign reversals observed in certain instances. Moreover, we demonstrate that the inclusion of the second-nearest-neighbor Dzyaloshinskii–Moriya (DM) interaction significantly modifies the magnonic Berry curvature and, consequently, the thermal Hall response. These findings provide a theoretical framework for the interpretation of thermal Hall experiments in α-RuCl3 and emphasize the sensitivity of topological magnon transport to the microscopic details of interactions in frustrated quantum magnets.
层状蜂窝材料α-RuCl3具有明显的自旋-轨道耦合和键方向相互作用,是实现Kitaev量子自旋液体(QSL)的重要候选材料。在外加磁场下半量子化的热霍尔效应的实验观察表明,可能存在分形激励,可能是马约拉纳起源。然而,缺乏明确的理论和实验共识,需要进一步研究相关的磁相。本研究集中研究了α-RuCl3的部分极化铁磁相,该相具有类似于QSL态的临界对称特征,并且可能具有类似的拓扑热输运特征。利用线性自旋波理论的框架,我们计算了从扩展极小KJΓΓ ' J3模型中得到的五个代表性交换参数集的热霍尔电导率(κTHxy)。这个哈密顿函数包含了第一近邻海森堡相互作用(J)、基塔耶夫相互作用(K)和第三近邻海森堡相互作用(J3),以及非对角线Γ和Γ项。我们的分析揭示了κTHxy的大小和符号的模式依赖行为,在某些情况下观察到温度依赖的符号逆转。此外,我们证明了第二近邻Dzyaloshinskii-Moriya (DM)相互作用的加入显著地改变了磁振子Berry曲率,从而改变了热霍尔响应。这些发现为α-RuCl3中热霍尔实验的解释提供了理论框架,并强调了拓扑磁振子输运对受挫量子磁体中相互作用微观细节的敏感性。
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引用次数: 0
Observational constraints and geometric diagnostics of Barboza–Alcaniz and logarithmic dark energy parametrizations Barboza-Alcaniz和对数暗能量参数化的观测约束和几何诊断
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-05-01 Epub Date: 2026-02-07 DOI: 10.1016/j.aop.2026.170390
Archana Dixit , Saurabh Verma , Anirudh Pradhan , M.S. Barak
This study investigates and compares two prominent two-dimensional dark energy (DE) parameterizations: Barboza–Alcaniz (BA) and Logarithmic forms by comparing them with a comprehensive set of observational data comprising Type Ia Supernovae (SNe Ia) from the Pantheon compilation, Baryon Acoustic Oscillations (DESI BAO), and Cosmic Chronometers (CC). The primary objective was to explore the constraining power and cosmological implications of each parameterization in light of the current data. After formulating the theoretical framework and background equations governing cosmic expansion, we employ Markov Chain Monte Carlo (MCMC) techniques using the emcee Python package to constrain the free parameters of each model. The best-fit values for parameters ω0, ωa, and H0 were extracted for each model using individual and combined datasets. The results include confidence contours at the levels 1σ and 2σ. Our findings demonstrate that both parameterizations are consistent with observational data, with logarithmic parameterization showing slightly better constraints in terms of parameter evolution. Furthermore, we employed a statefinder diagnostic to analyze the geometric behavior of the models, providing an effective distinction between the two DE scenarios. This study contributes to a deeper understanding of DE evolution and its constraints in light of current cosmological data.
本研究研究并比较了两种突出的二维暗能量(DE)参数化:Barboza-Alcaniz (BA)和对数形式,并将它们与来自万神殿汇编的Ia型超新星(SNe Ia)、重子声学振荡(DESI BAO)和宇宙天文钟(CC)的综合观测数据进行了比较。主要目标是根据目前的数据探索每个参数化的约束能力和宇宙学含义。在制定了宇宙膨胀的理论框架和背景方程之后,我们使用emcee Python包使用马尔可夫链蒙特卡罗(MCMC)技术来约束每个模型的自由参数。使用单独和组合的数据集为每个模型提取参数ω0, ωa和H0的最佳拟合值。结果包括1σ和2σ水平上的置信轮廓。我们的研究结果表明,两种参数化都与观测数据一致,对数参数化在参数演变方面表现出稍好的约束。此外,我们采用了状态识别器诊断来分析模型的几何行为,提供了两种DE场景之间的有效区分。这项研究有助于在当前宇宙学数据的基础上对DE演化及其限制有更深的理解。
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引用次数: 0
Revealing gauge constraints in LQG-inspired Yang–Mills theory 揭示lqg启发的Yang-Mills理论中的规范约束
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-05-01 Epub Date: 2026-02-10 DOI: 10.1016/j.aop.2026.170381
Leonardo P.G. De Assis
The consistent embedding of Loop Quantum Gravity (LQG) effects within the Standard Model requires a rigorous understanding of how Planck-scale deformations manifest at low energies. While phenomenological approaches often introduce canonical deformations with multiple free parameters to capture these effects, the physical requirement of gauge symmetry in the framework of a covariant Effective Field Theory (EFT) imposes strict conditions on the allowed interaction structure. In this paper, we demonstrate that these conditions act as physical selection rules for admissible quantum gravity models. By applying non-Abelian Ward identities and a covariant operator mapping to the dimension-six operator basis, we derive a fundamental on-shell equivalence between kinetic and cubic interaction terms. As a paradigmatic application, we show that the Levy–Helayël-Neto (LHN) framework – a candidate effective description of LQG – satisfies this physical requirement only when its parameters obey the specific algebraic relation: θ3θ8=121+θ7(PL)2+2Υ+O(P).It must be highlighted that this result advances the physical understanding of LQG phenomenology by revealing that the apparent freedom in defining the Hamiltonian is illusory; the parameters are bound by the necessity of preserving the gauge structure of the Standard Model.
环量子引力(LQG)效应在标准模型中的一致嵌入需要对普朗克尺度变形在低能下的表现有严格的理解。虽然现象学方法经常引入具有多个自由参数的正则变形来捕捉这些效应,但协变有效场论(EFT)框架中规范对称的物理要求对允许的相互作用结构施加了严格的条件。在本文中,我们证明了这些条件作为可容许量子引力模型的物理选择规则。通过将非阿贝尔沃德恒等式和一个协变算子映射应用于六维算子基,我们导出了动力学项和三次相互作用项之间的基本壳上等价。作为一个范例应用,我们证明了Levy-Helayël-Neto (LHN)框架- LQG的候选有效描述-只有当其参数服从特定的代数关系:θ3θ8=−121+θ7(lpl)2+2Υ+O(lpl)时才满足这一物理要求。必须强调的是,这一结果揭示了在定义哈密顿量时表面上的自由是虚幻的,从而促进了对LQG现象学的物理理解;这些参数受保留标准模型的规范结构的需要的限制。
{"title":"Revealing gauge constraints in LQG-inspired Yang–Mills theory","authors":"Leonardo P.G. De Assis","doi":"10.1016/j.aop.2026.170381","DOIUrl":"10.1016/j.aop.2026.170381","url":null,"abstract":"<div><div>The consistent embedding of Loop Quantum Gravity (LQG) effects within the Standard Model requires a rigorous understanding of how Planck-scale deformations manifest at low energies. While phenomenological approaches often introduce canonical deformations with multiple free parameters to capture these effects, the physical requirement of gauge symmetry in the framework of a covariant Effective Field Theory (EFT) imposes strict conditions on the allowed interaction structure. In this paper, we demonstrate that these conditions act as physical selection rules for admissible quantum gravity models. By applying non-Abelian Ward identities and a covariant operator mapping to the dimension-six operator basis, we derive a fundamental on-shell equivalence between kinetic and cubic interaction terms. As a paradigmatic application, we show that the Levy–Helayël-Neto (LHN) framework – a candidate effective description of LQG – satisfies this physical requirement only when its parameters obey the specific algebraic relation: <span><span><span><math><mrow><mfrac><mrow><msub><mrow><mi>θ</mi></mrow><mrow><mn>3</mn></mrow></msub></mrow><mrow><msub><mrow><mi>θ</mi></mrow><mrow><mn>8</mn></mrow></msub></mrow></mfrac><mo>=</mo><mo>−</mo><mfrac><mrow><mn>1</mn></mrow><mrow><mn>2</mn></mrow></mfrac><mspace></mspace><mfenced><mrow><mn>1</mn><mo>+</mo><msub><mrow><mi>θ</mi></mrow><mrow><mn>7</mn></mrow></msub><msup><mrow><mrow><mo>(</mo><mrow><mfrac><mrow><msub><mrow><mi>ℓ</mi></mrow><mrow><mi>P</mi></mrow></msub></mrow><mrow><mi>L</mi></mrow></mfrac></mrow><mo>)</mo></mrow></mrow><mrow><mn>2</mn><mo>+</mo><mn>2</mn><mi>Υ</mi></mrow></msup></mrow></mfenced><mo>+</mo><mi>O</mi><mrow><mo>(</mo><msub><mrow><mi>ℓ</mi></mrow><mrow><mi>P</mi></mrow></msub><mo>)</mo></mrow><mo>.</mo></mrow></math></span></span></span>It must be highlighted that this result advances the physical understanding of LQG phenomenology by revealing that the apparent freedom in defining the Hamiltonian is illusory; the parameters are bound by the necessity of preserving the gauge structure of the Standard Model.</div></div>","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"488 ","pages":"Article 170381"},"PeriodicalIF":3.0,"publicationDate":"2026-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146186556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
引用次数: 0
Thermal fluctuation and tidal force of scalar tensor–vector gravity charged black hole 标量张量矢量重力带电黑洞的热涨落和潮汐力
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-05-01 Epub Date: 2026-02-05 DOI: 10.1016/j.aop.2026.170369
Jiafeng Guo , A. Eid , Faisal Javed , M. Zeeshan Gul , Javlon Rayimbaev , Munisbek Akhmedov , N. Mustapha , Yunus Turaev
This analysis focuses on the understanding of the thermodynamic, quantum, and dynamical properties of charged black holes (BHs) in the context of scalar–tensor–vector gravity (STVG). Considering the effect of the MOG parameter (χ) and the electric charge (Q), we discuss how modified gravity affects the stability of BHs, the phase transitions, and the geometry of the spacetime around the BHs. Thermodynamic analysis through the heat capacity, entropy, and free energy shows the presence of multiple stability phases, where larger χ values lead to an enhancement of quantum fluctuations and a larger alteration of the equilibration, and where Q values lead to a thermodynamic stabilization. The thermodynamic analysis also shows the effect of higher-order entropy correction terms resulting important quantum effects surrounding the event horizon. The analysis of Hawking emission shows the radiation gets weaker with larger Q values and gets stronger with larger χ values. This highlights a competition between electromagnetic suppression and gravitational amplification. Also, perturbation theory analysis shows scalar and electromagnetic perturbation with χ and Q diminishing transmission probabilities by enlarging the effective potential barrier. Geodesic deviation and tidal analysis shows weaker coupling and radial symmetrical perturbation. In summary, the findings indicate that STVG demonstrates a greater range of thermodynamic behavior and more pronounced curvature effects relative to General Relativity (GR). This provides a deeper understanding of the thermodynamics of BHs, not only from STVG perspectives but also from other frameworks of modified gravity.
本分析的重点是在标量-张量-矢量引力(STVG)的背景下对带电黑洞(BHs)的热力学、量子和动力学特性的理解。考虑到MOG参数(χ)和电荷(Q)的影响,我们讨论了修正引力如何影响黑洞的稳定性、相变以及黑洞周围时空的几何形状。通过热容、熵和自由能进行的热力学分析表明,存在多个稳定相,其中较大的χ值导致量子涨落增强和平衡的较大改变,而Q值导致热力学稳定。热力学分析还显示了高阶熵修正项在事件视界周围产生重要量子效应的影响。对霍金辐射的分析表明,辐射随Q值的增大而减弱,随χ值的增大而增强。这凸显了电磁抑制和引力放大之间的竞争。此外,微扰理论分析表明,χ和Q的标量和电磁微扰通过增大有效势垒而减小传输概率。测地线偏差和潮汐分析显示耦合较弱,径向对称摄动。总之,研究结果表明,相对于广义相对论(GR), STVG表现出更大范围的热力学行为和更明显的曲率效应。这不仅从STVG的角度,而且从其他修正引力的框架,提供了对黑洞热力学的更深层次的理解。
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引用次数: 0
Non-commutative fluid as an alternative driver of cosmic acceleration: Confronting DESI observations 非交换流体作为宇宙加速的替代驱动:面对DESI观测
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-05-01 Epub Date: 2026-02-05 DOI: 10.1016/j.aop.2026.170384
Raj Kumar Das , Arpan Krishna Mitra
We present a novel formulation for the Hubble parameter derived from Newtonian cosmology, incorporating non-commutative fluid dynamics through a deformed Poisson bracket structure. This approach introduces a new cosmological parameter, denoted by σ, which emerges naturally from the underlying non-commutative framework. It gives rise to a source term in the background fluid continuity equation, thereby leading to an apparent type of matter creation picture through the resulting non-conservation. Remarkably, the resulting Hubble function accounts for the observed accelerated expansion of the universe without invoking any external dark energy component or cosmological constant. Instead, the parameter σ effectively serves as the driver of acceleration. We further examine the observational constraints on σ using current cosmological data, including the recent Dark Energy Spectroscopic Instrument(DESI) dataset, demonstrating its viability as an alternative explanation for late-time cosmic acceleration within a non-commutative cosmological model.
我们提出了一个从牛顿宇宙学推导出的哈勃参数的新公式,通过变形泊松支架结构将非交换流体动力学纳入其中。这种方法引入了一个新的宇宙学参数,用σ表示,它从底层的非交换框架中自然出现。它在背景流体连续性方程中产生源项,从而通过由此产生的非守恒性导致一种明显类型的物质创造图像。值得注意的是,由此得出的哈勃函数解释了观测到的宇宙加速膨胀,而没有调用任何外部暗能量成分或宇宙常数。相反,参数σ有效地作为加速度的驱动因素。我们使用当前的宇宙学数据,包括最近的暗能量光谱仪器(DESI)数据集,进一步研究了σ的观测约束,证明了它作为非交换宇宙学模型中晚时间宇宙加速的另一种解释的可行性。
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引用次数: 0
Bridging quantum and classical descriptions of spin dynamics in a Dzyaloshinsky–Moriya trimer Dzyaloshinsky-Moriya三聚体中自旋动力学的连接量子和经典描述
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-05-01 Epub Date: 2026-02-11 DOI: 10.1016/j.aop.2026.170389
Robert Wieser , Raúl Sánchez Galán
The spin dynamics of a trimer with Dzyaloshinsky–Moriya (DM) interaction are investigated within a unified Hamiltonian framework that connects quantum-mechanical and semiclassical descriptions. The interpolation between the two regimes is realized by solving the modified Gisin–Schrödinger equation, in which the relative weight of quantum coherence and local mean-field contributions is continuously tuned. The resulting dynamical behavior is analyzed and summarized in a ground state diagram that illustrates how the character of the spin motion evolves from fully quantum to semiclassical as the DM interaction is treated at different levels of approximation. In the last part of the publication, the chiral spin dynamics originally proposed by Da-Wei Wang et al. is examined theoretically, taking into account its behavior at the boundary between quantum and classical physics.
在连接量子力学和半经典描述的统一哈密顿框架内,研究了具有Dzyaloshinsky-Moriya (DM)相互作用的三聚体的自旋动力学。通过求解修改后的Gisin-Schrödinger方程实现两种状态之间的插值,其中量子相干性和局部平均场贡献的相对权重连续调谐。在基态图中分析和总结了由此产生的动力学行为,该基态图说明了当DM相互作用在不同近似水平上处理时,自旋运动的特征如何从全量子演变到半经典。在论文的最后一部分,考虑到手性自旋动力学在量子和经典物理边界上的行为,从理论上考察了王大伟等人最初提出的手性自旋动力学。
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引用次数: 0
Non-exotic wormholes in f(R,Lm) gravity f(R,Lm)重力下的非奇异虫洞
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-05-01 Epub Date: 2026-02-12 DOI: 10.1016/j.aop.2026.170394
S. Rastgoo, F. Parsaei
In the present analysis, we examine the potential existence of generalized wormhole models within the framework of newly developed extended f(R,Lm) gravity. We investigate both a linear model, f(R,Lm)=αR2+βLm, and a non-linear model, f(R,Lm)=R2+Lmα, to analyze traversable wormholes. By employing the variational approach, we derive modified versions of the field equations under the influence of an anisotropic matter source. A power-law shape function is applied, resulting in a linear equation of state for both radial and lateral pressures. Furthermore, we explore solutions characterized by a variable equation of state parameter. It was observed that the violation of energy conditions is influenced by the parameters α and β. A wide range of non-exotic wormhole solutions was discovered, dependent on the specific parameters of the model. We demonstrate that wormholes with power-law shape functions yield solutions that comply with the energy conditions in both linear and non-linear forms of f(R,Lm). It is shown that the non-exotic wormhole solutions obtained within this framework are not isotropic.
在目前的分析中,我们在新发展的扩展f(R,Lm)引力框架内检验广义虫洞模型的潜在存在性。我们研究了线性模型f(R,Lm)=αR2+βLm和非线性模型f(R,Lm)=R2+Lmα来分析可穿越虫洞。利用变分方法,我们得到了各向异性物质源影响下的场方程的修正版本。应用幂律形状函数,得到径向和侧向压力的线性状态方程。进一步,我们探讨了由状态参数变量方程表征的解。结果表明,能量条件的违背受α和β参数的影响。根据模型的具体参数,发现了一系列非奇异的虫洞解。我们证明了具有幂律形状函数的虫洞产生的解符合f(R,Lm)的线性和非线性形式的能量条件。结果表明,在此框架下得到的非奇异虫洞解不是各向同性的。
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引用次数: 0
Relational de Sitter state counting with an SU(3) clock 使用SU(3)时钟的关系de Sitter状态计数
IF 3 3区 物理与天体物理 Q2 PHYSICS, MULTIDISCIPLINARY Pub Date : 2026-04-01 Epub Date: 2026-01-29 DOI: 10.1016/j.aop.2026.170364
Ahmed Farag Ali
<div><div>Motivated by Maldacena’s observer-centric formulation of de Sitter physics (Maldacena, 2024), we develop an observer-dependent state-counting framework in Euclidean de Sitter space by modeling the observer as a massive equatorial worldline carrying an SU(3) clock. Starting from the gauge-fixed graviton path integral on <span><math><msup><mrow><mi>S</mi></mrow><mrow><mi>D</mi></mrow></msup></math></span>, we trace the one-loop phase <span><math><msup><mrow><mi>i</mi></mrow><mrow><mi>D</mi><mo>+</mo><mn>2</mn></mrow></msup></math></span> to a finite set of scalar and conformal Killing modes and show that, once the worldline is included, the <span><math><mrow><mo>(</mo><mi>D</mi><mo>−</mo><mn>1</mn><mo>)</mo></mrow></math></span> transverse negative modes cancel the corresponding <span><math><mrow><mo>(</mo><mi>D</mi><mo>−</mo><mn>1</mn><mo>)</mo></mrow></math></span> conformal Killing directions mode by mode. The residual fixed-<span><math><mi>β</mi></math></span> phase from the global conformal factor and reparametrizations is removed by imposing the Hamiltonian constraint <span><math><mrow><msub><mrow><mi>H</mi></mrow><mrow><mtext>patch</mtext></mrow></msub><mo>−</mo><msub><mrow><mi>H</mi></mrow><mrow><mtext>clock</mtext></mrow></msub><mo>−</mo><mi>ν</mi><mo>=</mo><mn>0</mn></mrow></math></span> via a Bromwich inverse Laplace transform, which under explicit complete-monotonicity assumptions yields a real and positive microcanonical density. We stress that this positivity statement is conditional on Assumptions (A1)–(A3) and is established at one loop about the round <span><math><msup><mrow><mi>S</mi></mrow><mrow><mi>D</mi></mrow></msup></math></span> saddle in the probe regime <span><math><mrow><mi>G</mi><msub><mrow><mi>E</mi></mrow><mrow><mi>clock</mi></mrow></msub><mo>/</mo><mi>R</mi><mo>≪</mo><mn>1</mn></mrow></math></span>; a self-consistent backreacting or higher-loop extension is a natural next step. In earlier work (Ali and Ali 2025; Ali 2025) we argued that unbroken SU(3) confinement at <span><math><mrow><mi>T</mi><mo>→</mo><mn>0</mn></mrow></math></span> can account for the observed value of the cosmological constant and for the origin of the fundamental constants <span><math><mrow><mo>(</mo><mo>ħ</mo><mo>,</mo><mi>G</mi><mo>,</mo><mi>c</mi><mo>)</mo></mrow></math></span> as effective couplings fixed by the SU(3) vacuum structure; this makes SU(3) the natural candidate for the internal clock of de Sitter, whose radius and temperature are themselves set by the same cosmological constant. Here that idea is implemented with three explicit SU(3) realizations (qutrit, Cartan weight-lattice, and <span><math><mrow><mi>U</mi><msup><mrow><mrow><mo>(</mo><mn>1</mn><mo>)</mo></mrow></mrow><mrow><mn>2</mn></mrow></msup></mrow></math></span> rotor), for which the observer-inclusive density of states factorizes into a universal gravity factor, a universal worldline residue, and a clock-dependent SU(3) weight.</div><div><strong>Summary of con
受Maldacena以观察者为中心的德西特物理公式(Maldacena, 2024)的启发,我们通过将观察者建模为携带SU(3)时钟的巨大赤道世界线,在欧几里得德西特空间中开发了一个依赖观察者的状态计数框架。从SD上的规定引力子路径积分出发,我们将单环相位iD+2追踪到标量和共形杀戮模式的有限集合,并证明,一旦世界线被包括在内,(D−1)横向负模一个接一个地抵消了相应的(D−1)共形杀戮方向。通过施加哈密顿约束Hpatch - Hclock - ν=0,通过Bromwich逆变换去除全局共形因子和再参数化的残差固定β相位,该约束在显式完全单调性假设下产生实正微正则密度。我们强调,这种积极的陈述是以假设(A1) - (A3)为条件的,并且是在探测区圆形SD鞍形的一个环路上建立起来的。自一致的反向反应或高循环扩展是自然而然的下一步。在早期的工作(Ali and Ali 2025; Ali 2025)中,我们认为T→0时的不间断SU(3)约束可以解释宇宙学常数的观测值和基本常数(η,G,c)的起源,它们是由SU(3)真空结构固定的有效耦合;这使得SU(3)成为德西特内部时钟的自然候选者,其半径和温度本身是由相同的宇宙常数设定的。在这里,这个想法是通过三种显式SU(3)实现(qutrit, Cartan权重晶格和U(1)2转子)来实现的,其中包含观察者的状态密度被分解为一个万有引力因子,一个万有引力世界线残差和一个依赖时钟的SU(3)权重。捐款摘要。(i)用(D−1)横向n=0世界线模确定(D−1)赤道移动共形消杀方向,给出一个模对模的准单回路相位消去;(ii)世界线决定因素的双重评估(残余/热核提取和Gel 'fand-Yaglom检查);(iii)三个SU(3)时钟模型的封闭形式配分函数。微正则密度的现实性和非负性取决于第7节中的显式谱假设(A1) - (A3),包括β0=2π附近条的可解析性和相位剥离斑块配分函数的完全单调性。
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Starting from the gauge-fixed graviton path integral on &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt;, we trace the one-loop phase &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;i&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;mo&gt;+&lt;/mo&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt; to a finite set of scalar and conformal Killing modes and show that, once the worldline is included, the &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; transverse negative modes cancel the corresponding &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; conformal Killing directions mode by mode. The residual fixed-&lt;span&gt;&lt;math&gt;&lt;mi&gt;β&lt;/mi&gt;&lt;/math&gt;&lt;/span&gt; phase from the global conformal factor and reparametrizations is removed by imposing the Hamiltonian constraint &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;H&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mtext&gt;patch&lt;/mtext&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;H&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mtext&gt;clock&lt;/mtext&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;−&lt;/mo&gt;&lt;mi&gt;ν&lt;/mi&gt;&lt;mo&gt;=&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; via a Bromwich inverse Laplace transform, which under explicit complete-monotonicity assumptions yields a real and positive microcanonical density. We stress that this positivity statement is conditional on Assumptions (A1)–(A3) and is established at one loop about the round &lt;span&gt;&lt;math&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mi&gt;S&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;D&lt;/mi&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/math&gt;&lt;/span&gt; saddle in the probe regime &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;G&lt;/mi&gt;&lt;msub&gt;&lt;mrow&gt;&lt;mi&gt;E&lt;/mi&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mi&gt;clock&lt;/mi&gt;&lt;/mrow&gt;&lt;/msub&gt;&lt;mo&gt;/&lt;/mo&gt;&lt;mi&gt;R&lt;/mi&gt;&lt;mo&gt;≪&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt;; a self-consistent backreacting or higher-loop extension is a natural next step. In earlier work (Ali and Ali 2025; Ali 2025) we argued that unbroken SU(3) confinement at &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;T&lt;/mi&gt;&lt;mo&gt;→&lt;/mo&gt;&lt;mn&gt;0&lt;/mn&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; can account for the observed value of the cosmological constant and for the origin of the fundamental constants &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mo&gt;ħ&lt;/mo&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;G&lt;/mi&gt;&lt;mo&gt;,&lt;/mo&gt;&lt;mi&gt;c&lt;/mi&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; as effective couplings fixed by the SU(3) vacuum structure; this makes SU(3) the natural candidate for the internal clock of de Sitter, whose radius and temperature are themselves set by the same cosmological constant. Here that idea is implemented with three explicit SU(3) realizations (qutrit, Cartan weight-lattice, and &lt;span&gt;&lt;math&gt;&lt;mrow&gt;&lt;mi&gt;U&lt;/mi&gt;&lt;msup&gt;&lt;mrow&gt;&lt;mrow&gt;&lt;mo&gt;(&lt;/mo&gt;&lt;mn&gt;1&lt;/mn&gt;&lt;mo&gt;)&lt;/mo&gt;&lt;/mrow&gt;&lt;/mrow&gt;&lt;mrow&gt;&lt;mn&gt;2&lt;/mn&gt;&lt;/mrow&gt;&lt;/msup&gt;&lt;/mrow&gt;&lt;/math&gt;&lt;/span&gt; rotor), for which the observer-inclusive density of states factorizes into a universal gravity factor, a universal worldline residue, and a clock-dependent SU(3) weight.&lt;/div&gt;&lt;div&gt;&lt;strong&gt;Summary of con","PeriodicalId":8249,"journal":{"name":"Annals of Physics","volume":"487 ","pages":"Article 170364"},"PeriodicalIF":3.0,"publicationDate":"2026-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146075999","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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}
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