专题:Algebraic and Geometric Analysis

This cluster of papers explores advances in quaternionic analysis, geometric algebra, slice regular functions, dark matter, spinor fields, functional calculus, Clifford analysis, octonions, Dirac operators, and hypercomplex numbers.
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The Developmental Zeta Function as a Forced Analytic Object

preprint Full Text OpenAlex

The Quintic Filter: Why Only Topology Survives A₅

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The Renormalized Free Energy Framework: A Unified Resolution of Structural Bottlenecks through Gauge-Theoretic Reformulation

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The Fine Structure Constant as Self-Consistency Condition of a Four-Operator Collapse Algebra

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The Unified Model of Creation and Reality (UMCR): A Recursive Geometric Framework for the Emergence of Spacetime, Matter, and Cosmological Phenomena

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Self-Convergence of 1/(1+b): The Universal Generator of Oscillator, Measure, and Symmetry in the Riemann Zeros

article Full Text OpenAlex

A Neuro-Symbolic Architecture for Open-Ended Mathematical Discovery: The Localization Principle as Meta-Generator of Anomaly Cancellation in E8 Geometric Knowledge Synthesis

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A PSL(2,7) Invariant in E8 Root System Phasor Binding: 168 Occupied Axes and 72 Permanent Voids Under All Rotations, Projections, and Dimensions

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ICMM-FW-02 - ICMM: Complex Multi-Magnetic Information - definitions, axioms, and formal framework

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Ze-Cosmological Alternatives to the Big Bang

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近5年高被引文献
Foundations of Differential Geometry

book-chapter Full Text OpenAlex 479 FWCI164.5293

Topological non-Hermitian skin effect

article Full Text OpenAlex 262 FWCI53.5459

Theory and Applications of the Poincaré Group

book Full Text OpenAlex 190 FWCI2.5345

FIESTA5: Numerical high-performance Feynman integral evaluation

article Full Text OpenAlex 94 FWCI11.302

Feynman integrals in dimensional regularization and extensions of Calabi-Yau motives

article Full Text OpenAlex 77 FWCI9.0423

Numerical Conformal Mapping

book Full Text OpenAlex 72 FWCI0

Determining Feynman Integrals with Only Input from Linear Algebra

article Full Text OpenAlex 68 FWCI8.125

Dual Quaternions and Dual Quaternion Vectors

article Full Text OpenAlex 63 FWCI21.3639

The New Integral Transform "Mohand Transform"

article Full Text OpenAlex 55 FWCI5.4915

Non-Hermitian topological magnonics

article Full Text OpenAlex 51 FWCI17.9072