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View article: UniAVGen: Unified Audio and Video Generation with Asymmetric Cross-Modal Interactions
UniAVGen: Unified Audio and Video Generation with Asymmetric Cross-Modal Interactions Open
Due to the lack of effective cross-modal modeling, existing open-source audio-video generation methods often exhibit compromised lip synchronization and insufficient semantic consistency. To mitigate these drawbacks, we propose UniAVGen, a…
View article: Litter quality drives the shift of soil fauna structure without changing its ecological function
Litter quality drives the shift of soil fauna structure without changing its ecological function Open
Background and aims Invasive plant species represent significant threats to ecosystems globally, disrupting native habitats and adversely affecting biodiversity and ecosystem functions and services. This study focused on the impact of bamb…
View article: HunyuanVideo-Avatar: High-Fidelity Audio-Driven Human Animation for Multiple Characters
HunyuanVideo-Avatar: High-Fidelity Audio-Driven Human Animation for Multiple Characters Open
Recent years have witnessed significant progress in audio-driven human animation. However, critical challenges remain in (i) generating highly dynamic videos while preserving character consistency, (ii) achieving precise emotion alignment …
View article: Soil Conservation Assessment by <scp>SWAT</scp> With Improved Sediment Module and Driving Mechanism Analysis of Its Changes: A Case Study of the Jinghe River Basin, China
Soil Conservation Assessment by <span>SWAT</span> With Improved Sediment Module and Driving Mechanism Analysis of Its Changes: A Case Study of the Jinghe River Basin, China Open
Globally, the importance of soil conservation (SC) has been increasingly recognized, with a growing demand for the use of more accurate soil erosion models to assess soil conservation and investigate its driving mechanisms. This is essenti…
View article: G¨ odel Incompleteness Theorem’s Undecidability Quantification and Its Cross-Domain Applications
G¨ odel Incompleteness Theorem’s Undecidability Quantification and Its Cross-Domain Applications Open
This paper proposes a quantifiable framework for undecidability based on G¨odel’s incompleteness theorems, formalizing the dynamic equilibrium mechanism among formal system complexity (C), logical rigidity (L), and expressive demand (D) th…
View article: BSD-Energy Gap Correspondence: A Unified Framework Bridging Arithmetic Geometry and Quantum Field Theory
BSD-Energy Gap Correspondence: A Unified Framework Bridging Arithmetic Geometry and Quantum Field Theory Open
Under the assumption that the analytic continuation of automorphic L-functions holds, this paper proves the BSD-energy gap correspondence conjecture for global f ields K with class number h(K) ≤ 5byconstructing a three-dimensional “symmetr…
View article: Hodge Problem Part B p-adic String Theory and Physical Realization of Dynamical Stability
Hodge Problem Part B p-adic String Theory and Physical Realization of Dynamical Stability Open
This paper integrates the arithmetic tools of the Langlands program with the geometric-physical framework of Motivic-string theory duality to construct a unified proof strategy for the Hodge conjecture. The core breakthroughs include: 1. L…
View article: A Langlands Program-Based Solution to the Yang-Mills Mass Gap Problem PART B
A Langlands Program-Based Solution to the Yang-Mills Mass Gap Problem PART B Open
This paper systematically resolves the rigorous proof and physical limitation corrections of the mass gap problem in four-dimensional non-Abelian Yang-Mills theory by integrating the Langlands program with quantum field-theoretic mathemati…
View article: Prime Symmetry and the Unity of the Langlands Program: A Rigorous Mathematical-Physical Realization Based on a Three-Dimensional Framework
Prime Symmetry and the Unity of the Langlands Program: A Rigorous Mathematical-Physical Realization Based on a Three-Dimensional Framework Open
This paper achieves revolutionary breakthroughs in the Langlands program at the intersection of arithmetic geometry and quantum field theory by constructing a three-dimensional ”Symmetry-Correspondence-Duality” framework. Compared to the c…
View article: A Description of the Global Regularity of the Three-Dimensional Navier-Stokes Equations PART B
A Description of the Global Regularity of the Three-Dimensional Navier-Stokes Equations PART B Open
This paper resolves the global regularity problem for the Navier-Stokes equations through the development of three groundbreaking methodologies, achieving the following core results: 1. Anisotropic Frequency Corridor Technique: Byconstruct…
View article: A Description of the Global Regularity of the Three-Dimensional Navier-Stokes Equations: PART A
A Description of the Global Regularity of the Three-Dimensional Navier-Stokes Equations: PART A Open
This paper rigorously proves the global regularity of 3D incompressible NavierStokes equations using: • Frequency-space energy redistribution: Using Littlewood-Paley decomposition in Besov spaces, it proves high-frequency energy dissipatio…
View article: Topological Gravity Theory (TGT): Quantum Spacetime and Matter Coupling Based on Chern-Simons Action
Topological Gravity Theory (TGT): Quantum Spacetime and Matter Coupling Based on Chern-Simons Action Open
This paper proposes Topological Gravity Theory (TGT), which constructs a quantized spacetime framework based on higher-order Chern classes and the fiber bundle structure of Einstein-Cartan theory. The theory couples spin connection Aµ with…
View article: Mathematical Framework of (∞,2)-category for Describing AdS and DS Duality
Mathematical Framework of (∞,2)-category for Describing AdS and DS Duality Open
This paper proposes a mathematical framework for AdS/DS duality based on (∞,2)-category theory. By integrating the Langlands program, noncommutative geometry, and topological quantum field theory, it establishes a higher homotopy correspon…
View article: Construction of a Non-Equilibrium Holographic Principle Theory Based on (∞,2)-category framework
Construction of a Non-Equilibrium Holographic Principle Theory Based on (∞,2)-category framework Open
This paper constructs a non-equilibrium holographic principle theory within the (∞,2)-category framework, integrating fractal spacetime geometry, dynamic conformal boundaries, and non-perturbative quantum gravity effects. By introducing fr…
View article: Topological Phase Holography Quantum Geometry and Dynamical Phase Transitions in Spacetime
Topological Phase Holography Quantum Geometry and Dynamical Phase Transitions in Spacetime Open
This paper introduces a groundbreaking framework for quantum gravity—Topological Phase Holography (TPH)—which integrates higher-order algebraic topology with dynamical quantum geometry to reveal the phase transition behavior of quantum spa…
View article: A Proof of the Hodge Conjecture Based on the Langlands Program
A Proof of the Hodge Conjecture Based on the Langlands Program Open
Within the Langlands program framework, this paper establishes a profound correspondence between automorphic cohomology and algebraic cycles, offering a novel proof of the Hodge Conjecture. By transforming the complex geometric issues of t…
View article: A Langlands Program-Based Solution to the Yang-Mills Mass Gap Problem: Deep Correspondence Between Automorphic Forms and Gauge Theory
A Langlands Program-Based Solution to the Yang-Mills Mass Gap Problem: Deep Correspondence Between Automorphic Forms and Gauge Theory Open
This paper proposes a novel paradigm for solving the Yang-Mills mass gap problem by establishing a rigorous correspondence between four-dimensional Yang-Mills gauge theory and automorphic forms in the Langlands program. Using the local Lan…
View article: Normalized Sign‐Changing Solutions for the Nonlinear Schrödinger Equation With a Mass‐Critical Perturbation
Normalized Sign‐Changing Solutions for the Nonlinear Schrödinger Equation With a Mass‐Critical Perturbation Open
We investigate the mass‐critical perturbed nonlinear Schrödinger equation with a prescribed mass and establish the existence of sign‐changing normalized solutions in noncompact settings for . Additionally, we analyze the asymptotic behavio…
View article: Quantum Gravity Framework Based on Noncommutative Geometry and Quantum Entanglement Dynamics
Quantum Gravity Framework Based on Noncommutative Geometry and Quantum Entanglement Dynamics Open
This paper proposes a quantum gravity framework integrating noncommutative geometry (NCG) and dynamic quantum entanglement. By rigorously mapping noncommutative spacetime algebra to quantum bit networks, we demonstrate that spacetime geome…
View article: Discrete Topological Charges in Fractal Chern-Simons Theory: Rigorous Proof and Experimental Corrections
Discrete Topological Charges in Fractal Chern-Simons Theory: Rigorous Proof and Experimental Corrections Open
This paper generalizes Chern-Simons theory to fractal manifolds, rigorously proving the discreteness of topological charges in non-integer dimensions. By introducing fractal cohomology groups and the Strichartz framework of fractal differe…
View article: Holographic Reconstruction of Universal DS and AdS Spacetimes and Experimental Predictions
Holographic Reconstruction of Universal DS and AdS Spacetimes and Experimental Predictions Open
This paper proposes a holographic duality theory independent of the AdS/CFT framework, reconstructing the dynamics of non-AdS spacetimes based on the entropygeometry duality principle and topological quantum error correction. By introducin…
View article: Quantum Information-Geometric Unification Theory: Spacetime Emergence and Gravitational Dynamics from Entanglement Network Topology
Quantum Information-Geometric Unification Theory: Spacetime Emergence and Gravitational Dynamics from Entanglement Network Topology Open
This paper proposes a novel quantum gravity framework called the Quantum Information-Geometric Unification Theory (QIGUT). Its core postulate is that spacetime fundamentally emerges as a macroscopicscale manifestation of the topological st…
View article: Entropy-Geometry Duality Theory (EGD): Mathematical Reconstruction and Physical Verification
Entropy-Geometry Duality Theory (EGD): Mathematical Reconstruction and Physical Verification Open
This paper proposes a quantum gravity framework based on quantum information entropy and geometric duality (EGD). Through rigorous mathematical reconstruction and physical verification, we resolve the original theory’s issues of symbolic a…
View article: Non-Perturbative Stability and Topological-Entropic Geometric Unification Theory
Non-Perturbative Stability and Topological-Entropic Geometric Unification Theory Open
This paper proposes a novel framework integrating topological quantum field theory with entropic geometric dynamics. Through the introduction of categorized dynamic renormalization group flow, entropy-Chern characteristic correspondence pr…
View article: Actual supply of soil conservation services limits their use: From an ecosystem service flow perspective
Actual supply of soil conservation services limits their use: From an ecosystem service flow perspective Open
Soil conservation services (SCS) represent a vital subset of ecosystem regulating services, playing a critical role in mitigating regional land degradation and reducing flood disaster risks, a subject that has garnered considerable scholar…
View article: Seven-Layer Nested Multiverse Framework under Dynamic Dimensional Renormalization
Seven-Layer Nested Multiverse Framework under Dynamic Dimensional Renormalization Open
The unification of quantum gravity theory and the holographic principle remains a central challenge in modern theoretical physics. This paper proposes a novel mathematical framework based on fractal holographic quantum field theory. By par…
View article: Unified Framework for Singularity Resolution and Information Conservation: Resolving the Black Hole Information Paradox
Unified Framework for Singularity Resolution and Information Conservation: Resolving the Black Hole Information Paradox Open
This paper proposes a quantum gravity framework based on the principle of fractal holographic duality, resolving the spacetime singularity problem in general relativity and the black hole information paradox through a dynamic fractal dimen…
View article: A Multifaceted Framework for Dark Matter Mechanisms
A Multifaceted Framework for Dark Matter Mechanisms Open
A Multifacetted Framework for Dark Matter Mechanisms
View article: Precision Calculation of Top Quark and Higgs Boson Masses Under Fractal Higgs Mechanism
Precision Calculation of Top Quark and Higgs Boson Masses Under Fractal Higgs Mechanism Open
This paper constructs an improved Higgs mechanism based on fractal spacetime. By introducing Hutchinson fractal measures and fractional derivatives, we rigorously derive the mass formulas for the top quark and Higgs boson. At the fractal d…
View article: A Rigorous Framework for 3+1-Dimensional Fractal-Noncommutative Yang-Mills Model Coupled with Quantum Gravity
A Rigorous Framework for 3+1-Dimensional Fractal-Noncommutative Yang-Mills Model Coupled with Quantum Gravity Open
This paper proposes a quantum gravity coupling framework integrating 3+1dimensional fractal spacetime with noncommutative Yang-Mills fields. By introducing fractal-modified metric tensors and noncommutative coordinate algebra, we establish…