"The Golden Ratio, Fibonacci Numbers, and Euler’s Polyhedron Formula Under the Maximum Information Efficiency Axiom: Hierarchy, Association, and a Unified Perspective" Author: Zhang Suhang, Luoyang Core Axiom: Maximum Information Efficiency (M...
"Heuristic Association Between Euler’s Polyhedron Formula and the Golden Ratio Under the Maximum Information Efficiency Axiom" Author: Zhang Suhang, Luoyang Core Axiom: Maximum Information Efficiency (MIE) Axiom --- Abstract Based on the Ma...
Derivation of Euler’s Formula from the Maximum Information Efficiency (MIE) Axiom Prerequisites · Consider a connected planar graph (nodes and edges without crossings). It may be the edge graph of a convex polyhedron, a leaf vein network, an e...
Unified Theory of Two Classes of Self-Similar Fractals Based on Continued Fraction Recursive Isomorphism Author: Zhang Suhang --- Abstract Classical fractal geometry has long maintained a division between two classes of self-similar geometric ...
Geometric Origin of the Weak Interaction: From Curvature-Frequency Transitions to a Unified FrameworkAuthor: Suhang ZhangLuoyang, ChinaAbstractBased on the author’s previously established MOC-MIE axiomatic system and the equivalence relation betwe...
Geometric Equivalence of Frequency Gradient and Force: Extension of the MOC-MIE Axiomatic System and Implications for Unification of Weak InteractionAuthor: Suhang ZhangLuoyangAbstractBased on the author’s previously established axiomatic system o...
--- Force as Potential Gradient: A Universal Theorem in Geometric Extremum Physics and a Unified Framework for Conservative Interactions (Revised Edition)
Abstract Based on the Multi-Origin Curvature (MOC) axiom of spatial description and the...
Force as Potential Difference: A Theorem in Geometric Extremum Physics Abstract Based on the framework of Multiple-Origin Curvature (MOC) and the axiom of Maximum Information Efficiency (MIE), this paper rigorously proves that physical intera...
--- Unified Derivation of Inverse-Square Interactions under the Geometric Extremum Principle (GEP) Framework Abstract Based on the Geometric Extremum Principle (GEP) and taking spatial curvature as the fundamental field variable, this paper, to...
Paper: Foundational Axioms and Isomorphism System of Fractal Continued-Fraction Geometry (FCFG)
Abstract
In the existing mathematical framework, continued fractions belong to the domains of number theory and analytic approximation, while sel...
Unification of Honeycomb and Leaf Vein under the Axiom of Maximum Information EfficiencyAuthor: Suhang Zhang AbstractThe honeycomb uses the least beeswax to enclose the maximum volume. Leaf veins use a limited network of vessels to cover the maxim...
Formal Paradigm of Unified Geometric Extremal Physics 1. Abstract Definition of the Paradigm Definition (Unified Geometric Extremal Paradigm) A geometric extremal problem is said to admit a unified physical–geometric paradigm if there ...
The Sphere Theorem as a Natural Consequence of Unified Geometric Extremal Physics in Three‑Dimensional Topology – More Fundamental and More “Foundational” than the Poincaré Conjecture 1. Standard Formulation of the Sphere Theorem in 3‑Manifolds ...
Unified Geometric Extremal Physics Framework Solution to the Willmore Problem
— Physical Restatement, Paradigm Reduction, and Isomorphism with the Isoperimetric Problem, Plateau’s Problem, and the Poincaré Conjecture
Abstract Within the fra...
A Physical Solution to the Plateau Problem Under the Same Paradigm Author: Suhang ZhangLuoyang Abstract (brief)
By treating the surface area as a potential energy functional and applying the minimum energy principle, we show that the solu...
Numbers are dancing points.Functions are floating lines.Geometry is manifolds and fluids.
Matrices handle multivariate problems.Group theory solves higher-order equations. Higher-degree equations are shaped by curves swaying back and forth.Sway more intensely, and you get surfaces.Sway even more wildly, and you get solids. Orderly sw...
2. Change Formula\dot\kappa_I = \mathcal F_I(\dots)One sentence:How things change, move, and are acted upon by forces is entirely determined by their interactions.- Universal Gravitation Formula- Coulomb's Law- Ohm's Law I=U/R- Kinematic equations...
1. Rule Formula (规矩公式) \mathcal{D}\star\mathcal{R}=0 One sentence:Things do not disappear out of nowhere; total quantities are conserved, and nothing behaves arbitrarily.- Energy Conservation能量守恒- Charge Conservation电荷守恒- Momentum Conservation动量...
Dimensionality Reduction Equals Flow Redistribution: The Engineering Essence of Point Set PlanarizationI. Engineering Essence of Dimensionality Reduction Transformation1.1 Engineering Mechanism of Topological Evolution in Dimensionality ReductionW...
The Topological Essence and Engineering Substance of Dimensional Ascent: Flux Expansion, Planar Point Spatialization, and the Maximum Information Efficiency Axiom from 2D to 3D
Author: Zhang Suhang
Core Axiomatic Support: Multi-Origin Curvat...
Information Topology: Theory of Reciprocal Topological Information Conservation Between High and Low Dimensions
Author: Zhang Suhang --- Abstract
Traditional geometry, fractal theory, and dimensionality reduction paradigms have long suffer...
Theory of Biomimetic Fractal Topological Coupling and Dimensional Gradient Transition Transmission I. Core Theoretical Essence This theory takes the natural fractal structures of tree roots and leaf veins as its fundamental logical origin. It br...
Bionic Fractal Topology for Wireless Power Transfer: A Technical Scheme of Stereo-to-Stereo Coupling and Dimensionality-Reduced DistributionAbstractAiming at the problems of difficult coil alignment, narrow spatial coverage, and low efficiency of ...
All Two-Dimensional Figures Ultimately Reduce to the Ellipse: A Universal Ontological Argument Based on Multi-Origin Geometry and High-Dimensional Fiber Bundles Abstract Traditional unified theories of planar geometry can only establish the prim...
Imaginary numbers represent direction. Rotation changes direction. Translation changes position. Ellipses and hyperbolas differ only in real versus imaginary directions. They are fundamentally unified. People have long treated the ellipse,...
Wireless Power Transmission: Perhaps the True Future of MOSTraditional power grids are wired, fixed-point, and unidirectional by nature. In essence, they force energy into one-dimensional transmission lines, resulting in high energy loss, vulnerab...
MOS (Multi-Origin High-Dimensional Geometry) Power Grid Design — Reconstructing the Spatial Philosophy and Design Paradigm of Power Grids, Breaking Free from the Rigid Path of “High-Voltage Dependence” --- 【Epigraph】This paper does not elaborat...
Mass Is Not Absolute: A Brief Reflection on Fields and Mass For a long time, people have regarded mass as an innate, fixed property of matter, as if it could exist absolutely, independent of its surroundings. But with deeper understanding of t...
A Gentle Discussion on the Higgs Field and the Origin of Mass In popular science, the way the Higgs boson gives elementary particles their mass is often compared to a celebrity moving slowly through a crowd of fans. This analogy is vivid and e...