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Introduction to loop quantum gravity. The Holst’s action and the covariant formalism Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 L. Fatibene, A. Orizzonte, A. Albano, S. Coriasco, M. Ferraris, S. Garruto, N. Morandi
We review Holst formalism and dynamical equivalence with standard GR (in dimension 4). Holst formalism is written for a spin coframe field eμI and a Spin(3,1)-connection ωμIJ on spacetime M and it depends on the Holst parameterγ∈ℝ−{0}. We show the model is dynamically equivalent to standard GR, in the sense that up to a pointwise Spin(3,1)-gauge transformation acting on (uppercase Latin) frame indices
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First-order quantum correction of thermodynamics in a charged accelerating AdS black hole with gauge potential Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 Riasat Ali, Rimsha Babar, Houcine Aounallah, Ali Övgün
In this paper, we study the tunneling radiation from a charged-accelerating AdS black hole with gauge potential under the impact of quantum gravity. Using the semi-classical phenomenon known as the Hamilton–Jacobi ansatz, it is studied that tunneling radiation occurs via the horizon of a black hole and also employs the Lagrangian equation using the generalized uncertainty principle. Furthermore, we
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From the classical Frenet–Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part II. Nonstationary Hamiltonians Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 Paul M. Alsing, Carlo Cafaro
In this paper, we present a geometric perspective on how to quantify the bending and the twisting of quantum curves traced by state vectors evolving under nonstationary Hamiltonians. Specifically, relying on the existing geometric viewpoint for stationary Hamiltonians, we discuss the generalization of our theoretical construct to time-dependent quantum-mechanical scenarios where both time-varying curvature
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A background independent notion of causality Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 A. Capolupo, A. Quaranta
We develop a notion of causal order on a generic manifold as independent of the underlying differential and topological structure. We show that sufficiently regular causal orders can be recovered from a distinguished algebra of sets, which plays a role analogous to that of topologies and σ algebras. We then discuss how a natural notion of measure can be associated to the algebra of causal sets.
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The Hodge–Dirac operator and Dabrowski–Sitarz–Zalecki-type theorems for manifolds with boundary Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-13 Tong Wu, Yong Wang
Dabrowski et al. [Spectral metric and Einstein functionals for Hodge–Dirac operator, preprint (2023), arXiv:2307.14877] gave spectral Einstein bilinear functionals of differential forms for the Hodge–Dirac operator d+δ on an oriented even-dimensional Riemannian manifold. In this paper, we generalize the results of Dabrowski et al. to the cases of 4-dimensional oriented Riemannian manifolds with boundary
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Quantum mechanics on a p-adic Hilbert space: Foundations and prospects Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-11 Paolo Aniello, Stefano Mancini, Vincenzo Parisi
We review some recent results on the mathematical foundations of a quantum theory over a scalar field that is a quadratic extension of the non-Archimedean field of p-adic numbers. In our approach, we are inspired by the idea — first postulated in [I. V. Volovich, p-adic string, Class. Quantum Grav.4 (1987) L83–L87] — that space, below a suitably small scale, does not behave as a continuum and, accordingly
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Plasma-infused solitary waves: Unraveling novel dynamics with the Camassa–Holm equation Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-09 Chanyuan Wang, Reem Altuijri, Abdel-Haleem Abdel-Aty, Kottakkaran Sooppy Nisar, Mostafa M. A. Khater
This investigation employs advanced computational techniques to ascertain novel and precise solitary wave solutions of the Camassa–Holm (𝒞ℋ) equation, a partial differential equation governing wave phenomena in one-dimensional media. Originally designed for the representation of shallow water waves, the 𝒞ℋ equation has exhibited versatility across various disciplines, including nonlinear optics and
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HERMITE–HADAMARD TYPE INEQUALITIES FOR ℏ-CONVEX FUNCTION VIA FUZZY INTERVAL-VALUED FRACTIONAL q-INTEGRAL Fractals (IF 4.7) Pub Date : 2024-03-05 HAIYANG CHENG, DAFANG ZHAO, MEHMET ZEKI SARIKAYA
Fractional q-calculus is considered to be the fractional analogs of q-calculus. In this paper, the fuzzy interval-valued Riemann–Liouville fractional (RLF) q-integral operator is introduced. Also new fuzzy variants of Hermite–Hadamard (HH) type and HH–Fejér inequalities, involving ℏ-convex fuzzy interval-valued functions (FIVFs), are presented by making use of the RLF q-integral. The results not only
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Large Genus Bounds for the Distribution of Triangulated Surfaces in Moduli Space Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-03-04 Sahana Vasudevan
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Geometric methods in quantum information and entanglement variational principle Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-05 Daniele Iannotti, Alioscia Hamma
Geometrical methods in quantum information are very promising for both providing technical tools and intuition into difficult control or optimization problems. Moreover, they are of fundamental importance in connecting pure geometrical theories, like GR, to quantum mechanics, like in the AdS/CFT correspondence. In this paper, we first make a survey of the most important settings in which geometrical
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Revisiting Legendre transformations in Finsler geometry Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-05 Ernesto Rodrigues, Iarley P. Lobo
In this paper, we discuss the conditions for mapping the geometric description of the kinematics of particles that probe a given Hamiltonian in phase space to a description in terms of Finsler geometry (and vice-versa).
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Charged stellar structure with Krori–Barua potentials in f(R,ϕ,X) gravity admitting Chaplygin equation of state Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-03-05 Adnan Malik
The primary objective of this paper is to examine singularity-free solutions within the framework of anisotropic solutions for the Chaplygin equation of state in f(R,ϕ,X) modified gravity theory. Herein, R signifies the Ricci scalar, ϕ denotes the scalar field, and X represents the kinetic term associated with ϕ. The investigation employs the Krori–Barua metric to explore the characteristics of an
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The equivalence principle as a Noether symmetry Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Salvatore Capozziello, Carmen Ferrara
The equivalence principle is considered in the framework of metric-affine gravity. We show that it naturally emerges as a Noether symmetry starting from a general non-metric theory. In particular, we discuss the Einstein equivalence principle and the strong equivalence principle showing their relations with the non-metricity tensor. Possible violations are also discussed pointing out the role of non-metricity
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Observation constraints on scalar field cosmological model in anisotropic universe Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Vinod Kumar Bhardwaj, Anil Kumar Yadav
In this study, we have explored a scalar field cosmological model in the axially symmetric Bianchi type-I universe. In this study, our aim is to constrain the scalar field dark energy model in an anisotropic background. For this purpose, the explicit solution of the developed field equations for the model is determined and analyzed. Constraints on the cosmological model parameters are established utilizing
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From the classical Frenet–Serret apparatus to the curvature and torsion of quantum-mechanical evolutions. Part I. Stationary Hamiltonians Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Paul M. Alsing, Carlo Cafaro
It is known that the Frenet–Serret apparatus of a space curve in three-dimensional Euclidean space determines the local geometry of curves. In particular, the Frenet–Serret apparatus specifies important geometric invariants, including the curvature and the torsion of a curve. It is also acknowledged in quantum information science that low complexity and high efficiency are essential features to achieve
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A note on generalized weakly ℋ-symmetric manifolds and relativistic applications Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Sameh Shenawy, Nasser Bin Turki, Carlo Mantica
In this work, generalized weakly ℋ-symmetric space-times (GWHS)n are investigated, where ℋ is any symmetric (0,2) tensor. It is proved that, in a nontrivial (GWHS)n space-time, the tensor ℋ has a perfect fluid form. Accordingly, sufficient conditions for a nontrivial generalized weakly Ricci symmetric space-time (GWRS)n to be either an Einstein space-time or a perfect fluid space-time are obtained
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Non-commutative Wormhole geometries in presence of modified Chaplygin–Jacobi gas and Anton–Schmidt fluid Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 Soubhik Paramanik, Ujjal Debnath
In this work, we have found Wormhole (WH) solutions in isotropic cosmology in the backdrop of general relativity while utilizing the “Modified Chaplygin–Jacobi Gas” and “Anton–Schmidt fluid” equations of state. As a starting point for our calculations, we have also considered two matter distributions, namely the Gaussian distribution and the Lorentzian distribution. All four energy conditions (i.e
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On D-brane models from flat torus geometry Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-29 S. E. Ennadifi
Inspired by string theory compactifications and torus 𝕋2 topology, we consider a general interacting D(3+n)-brane model, with n being the number of extra dimensions, built from a flat torus ℝ2n/ℤ2n compactification. In particular, we present the squared n=2 torus topological features and investigate the associated low-energy D-brane physics.
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RESEARCH ON FRACTAL HEAT FLOW CHARACTERIZATION OF FINGER SEAL CONSIDERING THE HEAT TRANSFER EFFECT OF CONTACT GAPS ON ROUGH SURFACES Fractals (IF 4.7) Pub Date : 2024-02-28 JUNJIE LEI, MEIHONG LIU
Finger seal is a new flexible dynamic sealing technology, and its heat transfer characteristics and seepage characteristics are one of the main research hotspots. In this paper, based on the fractal theory, a fractal model of the total thermal conductance of the finger seal considering the heat transfer effect of the contact gap of the rough surface is established, a fractal model of the effective
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A FRACTAL-FRACTIONAL TSUNAMI MODEL CONSIDERING NEAR-SHORE FRACTAL BOUNDARY Fractals (IF 4.7) Pub Date : 2024-02-28 YAN WANG, WEIFAN HOU, KHALED GEPREEL, HONGJU LI
Every fluid problem is greatly affected by its boundary conditions, especially the near-shore seabed could produce an irrevocable harm when a tsunami wave is approaching, and a real-life mathematical model could stave off the worst effect. This paper assumes that the unsmooth seabed is a fractal surface, and fractal-fractional governing equations are established according to physical laws in the fractal
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Position-dependent mass from noncommutativity and its statistical descriptions Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-28 Latévi M. Lawson, Kossi Amouzouvi, Komi Sodoga, Katawoura Beltako
A set of position-dependent noncommutative algebra in two dimension (2D) that describes the space near the Planck scale had been introduced [J. Phys. A: Math. Theor. 53 (2020) 115303]. This algebra predicted the existence of maximal length of graviton measurable at low energy. From this algebra, we deduce in the present paper, a new noncommutative algebra that is compatible with the deformed algebra
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THREE PROPERTIES OF FRACTAL NETWORKS BASED ON BEDFORD–MCMULLEN CARPET Fractals (IF 4.7) Pub Date : 2024-02-27 JIAN ZHENG, CHENG ZENG, YUMEI XUE, XIAOHAN LI
In this paper, we consider the networks modeled by several self-affine sets based on the Bedford–Mcmullen carpet. We calculate three properties of the networks, including the cumulative degree distribution, the average clustering coefficient and the average path length. We show that such networks have scale-free and small-world effects.
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THE IMPACT OF GLOBAL DYNAMICS ON THE FRACTALS OF A QUADROTOR UNMANNED AERIAL VEHICLE (QUAV) CHAOTIC SYSTEM Fractals (IF 4.7) Pub Date : 2024-02-27 MUHAMMAD MARWAN, MAOAN HAN, YANFEI DAI, MEILAN CAI
In this paper, we have extended the concept of advanced Julia function for the discovery of new type of trajectories existing inside outer and inner wings. A dynamical system based on four rotors, referred to as quadrotor unmanned aerial vehicle (QUAV), is considered for the first time to seek the generation of extra wings using fractal theory. Moreover, we have used Julia and advanced Julia function
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DENG ENTROPY AND INFORMATION DIMENSION FOR COVID-19 AND COMMON PNEUMONIA CLASSIFICATION Fractals (IF 4.7) Pub Date : 2024-02-24 PILAR ORTIZ-VILCHIS, MAYRA ANTONIO-CRUZ, MINGLI LEI, ALDO RAMIREZ-ARELLANO
Motivated by previous authors’ work, where Shannon entropy, box covering and information dimension were applied to quantify pulmonary lesions, this paper extends such a contribution in two fashions: (i) Following the approach to quantify pulmonary lesions with Deng entropy and Deng information dimension obtained through box covering method; (ii) exploiting the Shannon and Deng lesion quantification
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A 3D FRACTAL MODEL COUPLED WITH TRANSPORT AND ACTION MECHANISMS TO PREDICT THE APPARENT PERMEABILITY OF SHALE MATRIX Fractals (IF 4.7) Pub Date : 2024-02-23 SIYUAN WANG, PENG HOU, XIN LIANG, SHANJIE SU, QUANSHENG LIU
The permeability of shale controls gas transport in shale gas reservoirs. The shale has a complex pore structure at the nanoscale and its permeability is affected by multiple transport and action mechanisms. In this study, a 3D fractal model for predicting the apparent gas permeability of shale matrix is presented, accounting for the effects of the transport mechanisms (bulk gas transport and adsorption
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A STUDY OF FRACTAL DUAL MOMENTUM INVESTMENT STRATEGY UNDER THE CONSTRAINT OF MULTI-FRACTAL CHARACTERISTICS OF STOCK MARKET Fractals (IF 4.7) Pub Date : 2024-02-23 XU WU, PEIYU WANG, CHI YANG, YAN XIAO
Since the discovery of momentum effect, people have started the journey of using the momentum effect to construct momentum strategies. As a result of coupling cross-sectional and time-series momentum strategy, dual momentum strategy (DM strategy) has been widely used in practice and closely followed by academics. To address the shortcoming of the classical DM strategy that has not considered the multi-fractal
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Investigating the compatibility of exact solutions in Weyl-type f(Q,T) gravity with observational data Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-23 M. Koussour, S. Myrzakulova, N. Myrzakulov
In this study, we investigate the dynamics of the Universe during the observed late-time acceleration phase within the framework of the Weyl-type f(Q,T) theory. Specifically, we consider a well-motivated model with the functional form f(Q,T)=αQ+β6κ2T, where Q represents the scalar of non-metricity and T denotes the trace of the energy–momentum tensor. In this context, the non-metricity Qμαβ of the
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Spacetime metric from quantum-gravity corrected Feynman propagators Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-23 P. Fernández de Córdoba, J. M. Isidro, Rudranil Roy
Differentiation of the scalar Feynman propagator with respect to the spacetime coordinates yields the metric on the background spacetime that the scalar particle propagates in. Now Feynman propagators can be modified in order to include quantum-gravity corrections as induced by a zero-point length L>0. These corrections cause the length element s2 to be replaced with s2+4L2 within the Feynman propagator
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Solitons and traveling waves structure for the Schrödinger–Hirota model in fluids Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-23 Fazal Badshah, Kalim U. Tariq, Jian-Guo Liu, S. M. Raza Kazmi
The Schrödinger–Hirota equation is one of the most important models of contemporary physics which is popular throughout the broad fields of fluid movement as well as in the study of thick-water crests, liquid science, refractive optical components and so on. In this paper, we utilize the Hirota bilinear technique and the unified technique to attain various soliton solutions of the governing model analytically
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Conformal η-Ricci–Bourguignon soliton in general relativistic spacetime Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-23 Santu Dey, Shyamal Kumar Hui, Soumendu Roy, Ali H. Alkhaldi
In this research paper, we determine the nature of conformal η-Ricci–Bourguignon soliton on a general relativistic spacetime with torse forming potential vector field. Besides this, we evaluate a specific situation of the soliton when the spacetime admitting semi-symmetric energy–momentum tensor with respect to conformal η-Ricci–Bourguignon soliton, whose potential vector field is torse-forming. Next
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MULTIFRACTAL CHARACTERIZATION OF THE INHOMOGENEOUS STRAIN EVOLUTION OF THE DEHYDRATED COAL: INSIGHT FROM COAL MICROSTRUCTURE Fractals (IF 4.7) Pub Date : 2024-02-22 JUNJUN FENG, CHUANHUA XU, FENG YU, JUN PENG, QISONG HUANG, PENG JIN
Underground coal mining in China has gradually moved into deeper seams in recent years, which results in a higher ambient temperature in the mining space and significantly affects the mechanical behavior of coal. In this study, dehydrated coal samples were obtained at different temperatures ranging from 30∘ to 70∘, and the mechanical behavior of the dehydrated coal was investigated through compressive
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The geometry of quantum computing Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-22 E. Ercolessi, R. Fioresi, T. Weber
In this expository paper, we present a brief introduction to the geometrical modeling of some quantum computing problems. After a brief introduction to establish the terminology, we focus on quantum information geometry and ZX-calculus, establishing a connection between quantum computing questions and quantum groups, i.e. Hopf algebras.
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Lie symmetries of Lemaitre–Tolman–Bondi metric Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-22 Jamshed Khan, Tahir Hussain, Ashfaque H. Bokhari, Muhammad Farhan
The aim of this paper is to investigate Lie symmetries including Killing, homothetic and conformal symmetries of Lemaitre–Tolman–Bondi (LTB) spacetime metric. To find all LTB metrics admitting these three types of symmetries, we have analyzed the set of symmetry equations by a Maple algorithm that provides some restrictions on the functions involved in LTB metric under which this metric admits the
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Coalescence of Geodesics and the BKS Midpoint Problem in Planar First-Passage Percolation Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-02-21 Barbara Dembin, Dor Elboim, Ron Peled
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Augmentations, Fillings, and Clusters Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-02-21 Honghao Gao, Linhui Shen, Daping Weng
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NOVEL PERSPECTIVE TO THE FRACTIONAL SCHRÖDINGER EQUATION ARISING IN OPTICAL FIBERS Fractals (IF 4.7) Pub Date : 2024-02-20 KANG-LE WANG
In this paper, the fractional Schrödinger equation is described with beta derivative, which is used to elucidate the dynamic interaction of ultra-short pulses with quantum properties in optical fibers. This work is to study the solitary wave and periodic solutions of the fractional Schrödinger equation by employing three powerful and simple mathematical approaches like fractional Kudryashov method
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Generating f(R,𝒢) gravity from type IV singular bouncing cosmology Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-20 G. C. Assolohou, C. Aïnamon, C. D. Akowanou, M. G. Ganiou, M. J. S. Houndjo
In this paper, we investigate in this paper the Type IV singular bouncing in the framework of f(R,𝒢) theory of gravity where R and 𝒢 mean the curvature scalar and the Gauss–Bonnet invariant, respectively. Cosmological f(R,𝒢) models constrained by the slow-roll evolution is reconstructed and their explicit forms are provided near the bounce and far away from it. One obtains finally two models whose
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Null cartan geodesic isophote curves in Minkowski 3-space Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-20 Zewen Li, Donghe Pei
In this paper, we investigate null Cartan geodesic isophote curves in the Minkowski 3-space, and give examples where such curves actually exist. By categorizing the types of light vectors, we characterize different types of null Cartan geodesic isophote curves. Moreover, we present the relationship between null Cartan geodesic isophote curves and other special curves.
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Modified Friedmann equations and fractal Black Hole thermodynamics Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-20 S. Davood Sadatian, T. Gholame
The general relativity unification and quantum theory is a significant open problem in theoretical physics. This problem arises from the fact that these two fundamental theories, which describe gravity and the behavior of particles at the microscopic level, respectively, are currently incompatible. The unification of these theories is crucial for a complete comprehension of the fundamental forces and
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A d-SUMMABLE APPROACH TO DENG INFORMATION DIMENSION OF COMPLEX NETWORKS Fractals (IF 4.7) Pub Date : 2024-02-19 ALDO RAMIREZ-ARELLANO, JUAN BORY-REYES
Several new network information dimension definitions have been proposed in recent decades, expanding the scope of applicability of this seminal tool. This paper proposes a new definition based on Deng entropy and d-summability (a concept from geometric measure theory). We will prove to what extent the new formulation will be useful in the theoretical and applied points of view.
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On Closed Geodesics in Lorentz Manifolds Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-02-15 S. Allout, A. Belkacem, A. Zeghib
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A CLUSTERED FRACTAL DISCRETE FRACTURE NETWORK MODEL FOR FRACTURED COAL Fractals (IF 4.7) Pub Date : 2024-02-16 XIN LIANG, PENG HOU, GUANNAN LIU, YI XUE, JIA LIU, FENG GAO, ZHIZHEN ZHANG
The fracture network in fractured coal is the main channel of coal seam gas flow. Not only the geometric topology properties (such as fractal characteristics) of a single fracture but also the connection topology properties (interconnection characteristics between fractures) of the fracture network have an important impact on the fluid flow in fracture networks. In this study, the connection topology
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A closed universe with hybrid nonlocality Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-16 Branko Dragovich
In this paper, we explore some cosmological solutions of the Friedmann–Lemaître–Robertson–Walker (FLRW) closed universe with nonlocal de Sitter gravity dS and nonlocal scalar field which has its origin in p-adic string theory. In this case, we have that both geometrical and matter sectors of equations of motion (EoM) are nonlocal. The cosmological constant Λ plays a role of dark energy (DE) and is
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Characterizations of η–ρ-Einstein solitons in spacetimes and f(ℛ)-gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-16 Uday Chand De, Arpan Sardar, Fatemah Mofarreh
A generalized Robertson–Walker spacetime is not, in general, a perfect fluid spacetime and the converse is not, in general, true. In this paper, we show that if a perfect fluid spacetime admits an η–ρ-Einstein soliton, then the integral curves generated by the velocity vector field u are geodesics and the acceleration vector vanishes. Also, we show that if a perfect fluid spacetime with Killing velocity
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Upper limit on the acceleration of a quantum evolution in projective Hilbert space Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-15 Paul M. Alsing, Carlo Cafaro
It is remarkable that Heisenberg’s position-momentum uncertainty relation leads to the existence of a maximal acceleration for a physical particle in the context of a geometric reformulation of quantum mechanics. It is also known that the maximal acceleration of a quantum particle is related to the magnitude of the speed of transportation in projective Hilbert space. In this paper, inspired by the
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Intermediate inflation through Nojiri–Odintsov holographic dark fluid with the cosmological settings of Kaniadakis Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-15 Sanjeeda Sultana, Surajit Chattopadhyay
This study is inspired by the generalized holographic cut-off proposed by Nojiri and Odintsov (S. I. Nojiri and S. D. Odintsov, Unifying phantom inflation with late-time acceleration: Scalar phantom–non-phantom transition model and generalized holographic dark energy, Gen. Relativ. Gravit.38 (2006) 1285–1304) as it aims to have an understanding of the Kaniadakis holographic dark fluid, a particular
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The interacting vacuum energy models with spatial curvature: A dynamical system perspective with observational constraints Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-15 Ashutosh Singh, Syamala Krishnannair, Krishna Chandra Mishra
In this paper, we study the cosmic dynamics of varying vacuum models where the dark matter interacts with the vacuum energy. We consider the homogeneous and isotropic spacetime with spatial curvature and apply the dynamical system technique to the varying vacuum models by specifying the form of energy exchange rate (Q) between the dark energy and dark matter. Further, we utilize the cosmographic parameters
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Cosmic expansion history analysis with Hubble parametrization in Qn gravity Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-15 M. Koussour, N. Myrzakulov
In this paper, we propose a specialized parameterization for the Hubble parameter, inspired by ΛCDM cosmology, to investigate the cosmic expansion history of the Universe. This parameterization is employed to analyze the universe’s late-time behavior within the context of Qn gravity, where Q represents non-metricity. By using data from 57 Hubble data points, 1048 supernova (SNe) data points, and six
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A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-02-14 Richard H. Bamler, Charles Cifarelli, Ronan J. Conlon, Alix Deruelle
We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of \(\mathbb{C}\times \mathbb{P}^{1}\) at one point. This completes the classification of such solitons in two complex dimensions.
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Non-isomorphism of A∗n,2≤n≤∞, for a non-separable abelian von Neumann algebra A Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-02-14 Rémi Boutonnet, Daniel Drimbe, Adrian Ioana, Sorin Popa
We prove that if A is a non-separable abelian tracial von Neuman algebra then its free powers A∗n,2≤n≤∞, are mutually non-isomorphic and with trivial fundamental group, \(\mathcal{F}(A^{*n})=1\), whenever 2≤n<∞. This settles the non-separable version of the free group factor problem.
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Weakly Bounded Cohomology Classes and a Counterexample to a Conjecture of Gromov Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-02-14
Abstract We exhibit a group of type F whose second cohomology contains a weakly bounded, but not bounded, class. As an application, we disprove a long-standing conjecture of Gromov about bounded primitives of differential forms on universal covers of closed manifolds.
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Homology Growth, Hyperbolization, and Fibering Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-02-14 Grigori Avramidi, Boris Okun, Kevin Schreve
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Quasiregular Values and Rickman’s Picard Theorem Geom. Funct. Anal. (IF 2.2) Pub Date : 2024-02-14 Ilmari Kangasniemi, Jani Onninen
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A FRACTAL MODIFICATION OF THE PSEUDO-PARABOLIC EQUATION AND ITS GENERALIZED FRACTAL VARIATIONAL PRINCIPLE Fractals (IF 4.7) Pub Date : 2024-02-14 KANG-JIA WANG, SHUAI LI, PENG XU, FENG SHI
In this work, a new fractal pseudo-parabolic equation is derived by means of He’s fractal derivative. The semi-inverse method (SIM) is employed to develop the generalized fractal variational principle (GFVP), which can reveal the energy conservation law in the fractal space and provide some new insights on the study of the variational method.
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The influence of double deformation phase-space on the thermo-magnetic properties and energy spectra of some diatomic molecules and the spin-averaged mass spectra of the heavy mesons with the ICIQYHP model in 3D-NRNCPS symmetries Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-14 Abdelmadjid Maireche
In this paper, we perform a complete non-relativistic study of the improved class of inversely quadratic Yukawa plus Hulthén potential (ICIQYHP) model in the context of three-dimensional non-relativistic non-commutative quantum phase-space (3D-NRNCPS) symmetries impacted by perturbed spin–orbit interaction and the external magnetic fields for the homogeneous (N2 and O2) and heterogeneous (CO and NO)
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The inverse problem within free Electrodynamics and the coisotropic embedding theorem Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-14 L. Schiavone
In this paper, we present the coisotropic embedding theorem as a tool to provide a solution for the inverse problem of the calculus of variations for a particular class of implicit differential equations, namely the equations of motion of free Electrodynamics.
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Studying the behavior of radial free geodesics in ΛCDM model Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-14 Omar Nemoul, Hichem Guergouri, Jamal Mimouni
This paper presents an analytical study of the behavior of radial free-geodesics in the Friedmann–Lemaître–Robertson–Walker (FLRW) spacetime within the Lambda Cold Dark Matter (ΛCDM) model. Using the radial free motion solutions, we provide two methods for characterizing the geodesics and defines a general formula that encapsulates all possible solutions, determined by two initial conditions. We show
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Variational principle and optical soliton solutions for some types of nonlinear Schrödinger dynamical systems Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-09 Aly R. Seadawy, Bayan A. Alsaedi
The nonlinear Schrödinger equation (NLSE) is a fundamental equation in quantum mechanics with applications in optical fibers, plasma physics, and biomolecule dynamics. The focus of this paper is on four types of nonlinear Schrödinger equations, including the cubic nonlinear Schrödinger equation (CNLSE) and the Chen–Lee–Liu equation (CLLE). We present the existence of a Lagrangian and the invariant
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Testing the effect of anisotropy on the parametrization of deceleration parameter from recent observational data Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-09 Z. Zarei, A. Aghamohammadi, V. Fayaz, S. A. A. Terohid
In this work, we investigate Bianchi type I universe in the presence of dark energy and dark matter by three parameterizations of deceleration parameter models, which are considered to find solutions of the models. In the framework of an anisotropic cosmology, we constrain the parameters of these models and compared the results with the ΛCDM model, by using the datasets from different observational
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Generalized stochastic Korteweg-de Vries equations, their Painlevé integrability, N-soliton and other solutions Int. J. Geom. Methods Mod. Phys. (IF 1.8) Pub Date : 2024-02-09 Udoh Akpan, Lanre Akinyemi, Daniel Ntiamoah, Alphonse Houwe, Souleymanou Abbagari
In this study, we study two generalized stochastic Korteweg-de Vries (KdV) equations. The Painlevé property of these nonlinear models is tested using Kruksal’s method, which establishes the model’s integrability. As a result, using Hirota’s bilinear approach and symbolic computation, the N-soliton solutions are constructed. In addition, the extended hyperbolic function method (EHFM), the modified Kudryashov