--- The Dimensional Mapping Generative Principle of Number Bases: A Unified Geometric Origin of Discrete, Linear, and Periodic Numeral Systems
Author: Zhang Suhang
Founder of the Heluo Mathematical School
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Abstract
This paper ad...
Discrete Order Geometry (DOG) Framework for the Geometric Origin of Weak Interactions: From Discrete Chiral Lattice Points to the V–A Current Author: Zhang Suhang(Luoyang, Independent Researcher) Abstract: Based on the four‑dimensional discre...
Axiom of Maximum Information Efficiency (II): Derivation of Conservation Laws and Symmetries
Abstract: Noether's theorem reveals the one-to-one correspondence between continuous symmetries and conservation laws, forming a cornerstone of theoret...
Here is the English translation of the MOC Five Axioms, rendered in a style suitable for a formal manifesto or a Meditations on Science equivalent. --- MOC: Multi-Origin High-Dimensional Geometry · Five Axioms Axiom I: Set Defines Domain The f...
--- Mapping–Number Theory Bottom-Layer Unified Explanation Based on Projection, Dynamic Slope, and MOC Curvature Geometry
Author: Zhang Suhang Founder of the Heluo Mathematical School
In traditional mathematics, mapping ...
Proof of the BSD Conjecture within the DOG/MOC/ECS/MIE Framework
Author: Zhang Suhang Address: Luoyang, Henan
The BSD (Birch and Swinnerton-Dyer) conjecture is a Millennium Problem in number theory concerning the equal...
MOC Embedding Theorem: Embedding Representation of Complex Projective Algebraic Varieties in Multi-Origin Curvature Geometry Author: Zhang SuhangAddress: Luoyang, Henan --- Abstract Traditional complex projective algebraic varieties are built ...
--- A Complete Solution System for the Three‑Body Problem within the Framework of Discrete Order Geometry (DOG) Author: Zhang SuhangLuoyang Abstract: Under the classical Newtonian continuous geometry system, the three‑body problem has been defi...
Fully Autonomous Unmanned Colonization Plan Presented to Elon Musk Author: Zhang Suhang
Judging only by engineering feasibility, system closure, mission reliability, and efficiency of civilizational deployment, this fully ...
For years, I’ve been curious about why root crops like sweet potatoes and potatoes are so productive and grow so large. At first, I thought it was simply because they grow underground, sheltered from wind and rain, allowing them to expand freely. ...
Feminism had flourished for two hundred years. Women had fought for and won countless rights,...
--- Reconstructed Axioms of Set Theory under the MOC Multi-Origin High-Dimensional Framework Within the MOC multi-origin high-dimensional framework, we first establish the top-level paradigmatic axiomatic outline of set theory. The following fiv...
Reinterpretation of Set Theory within the MOC (Multi-Origin Coordinates) High-Dimensional Framework
I. Core Stance
Classical set theory is single-origin, single-universe, and static in its hierarchy. Under MOC, set theory becomes multi-orig...
The Homologous Generation Theory of Mathematical Objects
Author: Zhang Suhang, Luoyang
This paper proposes and systematically establishes the Homologous Generation Theory of Mathematical Objects, revealing the unified essence of ...
URFE Solves the Three-Body Problem Author: Zhang Suhang 1. First: What Makes the Classical "Three-Body Problem" Difficult Standard Conclusion (holds from 1880 to 2026): · No general elementary analytic solution: The positions cannot be express...
Paper 11: Computation on UPGS — Algorithms, Complexity, and Numerical Implementation
Author: Zhang Suhang Affiliation: Luoyang, Henan Date: May 25, 2026
UPGS (Étale Probability Schemes), as a unified theoretical frame...
Paper 4: Geometric Reconstruction of Probability Axiom System: Kolmogorov Axioms Equivalent to Geometric Measure Axioms
Author: Zhang Suhang Affiliation: Luoyang, Henan
This paper accomplishes a landmark unification between pr...
Paper 2: Geometric Realizations of One-Dimensional Probability Distributions: Bell Curve, Staircase, Lattice, and Fractal
Affiliation: Luoyang, Henan
Continuing the probabilistic-geometric isomorphism fr...
Pure Theoretical Derivation of the Coupling Perturbation Term \delta\vec{K}_{ij} and Three-Body Closure Proof in the MOC System
Author: Zhang Suhang Affiliation: Independent Researcher (Luoyang)
Based on the three ...
--- Clarification on the Relationship Between MIE and the Maximum Entropy Principle To avoid theoretical misunderstandings and academic ambiguity, this section specifically clarifies the intrinsic relationship between the Maximum Information Eff...
Unification Under the Maximum Information Efficiency Axiom: Homology Between Murray’s Law and Polyhedron LawAuthor: Suhang Zhang, LuoyangAbstractMurray’s law describes the cubic scaling relation of vessel diameters in biological branching networks...
Projective Generation Theory of Multi-Origin High-Dimensional Geometry and the Ultimate Convergence Principle of Two-Dimensional Figures This chapter establishes the ontological foundation and the ultimate closed-loop structure of the entire theo...
The Time Perspective of the Planck Tiny ManThe Planck Tiny Man is tiny not only in spatial scale but also in temporal scale, operating at 10⁻⁴³ seconds. At this scale, “quantum superposition” vanishes from its view: an electron does not pass throu...
Papers 1-2: Curl-Preserving Axiom and System Self-Consistency Verification
As the second paper in the Π-operator series, this work aims to establish and verify the ...
Discrete Order Geometry (DOG) and Knot Topology: From Continued Fraction Recursion to Interdisciplinary Topological Applications
Knot topology has long been regarded as a branc...
A Quantitative Model for Axial Obliquity under the Pure MOC Framework
Author: Zhang Suhang (Luoyang, Henan) Affiliation: Independent Researcher
Based on the Multi-Origin Curvature (MOC) paradigm, this paper presents a com...
Weak Convergence and Ergodic Limit of Stochastic ECS Systems Author: Zhang Suhang Luoyang, Independent Researcher Abstract This paper extends the Extremum-Conservation-Symmetry (ECS) framework to discrete stochastic linear dynamical s...
Numbers are dancing points.Functions are floating lines.Geometry is manifolds and fluids.
The Planckian Homunculus – A Different Kind of Observation If we could shrink ourselves down to the Planck scale – that extreme microscopic world where space is as small as 10^{-35} meters and time as short as 10^{-43} seconds – and become, so to...
DOG Discrete Order Geometry and Group Theory: The Origin of Symmetry in Constant-Coefficient Recursion
Group theory is the core language for describing symmetry in modern mathe...