Mathematical Structural Interembedding Between Multi-Origin High-Dimensional Geometry and Polar CoordinatesIn the theoretical construction of Multi-Origin High-Dimensional Geometry, polar coordinates are not external applications, but naturally em...
President Vico of Nisia stood before the floor-to-ceiling windows at the top of the National...
--- MOC Coordinate System: Geometric Definition of Multi-Origin Hierarchical Nesting and Classical Coordinate Degeneration
Author: Zhang Suhang --- Abstract
Based on the Multi-Origin Curvature (MOC) geometric framework, this paper present...
Paper 11: Computation on UPGS — Algorithms, Complexity, and Numerical Implementation
Author: Zhang Suhang Affiliation: Luoyang, Henan Date: May 25, 2026
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Abstract
UPGS (Étale Probability Schemes), as a unified theoretical frame...
--- Geometric Reconstruction of the Nature of Spacetime under the MOC Framework: Curvature Configuration Theory Author: Zhang Suhang, Luoyang Abstract Classical physics regards spacetime as a background stage independent of matter, while relat...
Geometry as Protocol: Multi-Origin High-Dimensional Geometry and Computer Networking Computer networking, for all its apparent glory, has shown clear signs of fatigue. TCP/IP has reigned for half a century. Routing protocols endlessly patch them...
By the same logic, Coulomb attraction also traces out elliptical areas. Coulomb attraction (electrostatic attraction) is mathematically isomorphic to universal gravitation as an inverse‑square force:
F = k \frac{q_1 q_2}{r^2} \quad (\tex...
We often think that mass is an innate property of objects. A stone, a speck of dust—they all seem to possess weight and substantial existence by birth. But looking into the vast universe and tracing back to the very origin, mass is not inherent at...
After the ecological backlash of chemical poisons and the hopeless dilemma of feral cat overpopulation, the Southern Continent’s research team finally reached a profound realization: to truly end the rat plague, they could no longer treat only the...
Paper 3：Geometric Embedding of Multivariate Random Variables: A Unified Triple Operation of Joint Distribution, Marginalization, and Conditioning Author: Zhang Suhang Affiliation: Luoyang, Henan, China Abstract Building upon the algebraic-prob...
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 ...
A Brief History of Cosmic Expansion The expansion history of the universe can be roughly divided into four key stages: 1. Inflationary Epoch (10⁻³⁶ s → 10⁻³² s)In far less than an instant, the universe expanded by at least 10²⁶ times at a speed ...
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...
Variational Derivation of Gaussian Distribution Under the Maximum Information Efficiency Principle——Proof of a Special Subclass Within the MOC (Multi-Origin High-Dimensional Geometry) FrameworkAuthor: Zhang Suhang, LuoyangCore Theoretical System:M...
Axiomatic Proof of the Goldbach Conjecture: Based on the ECS Framework (Extremum-Conservation-Symmetry)
Author: Zhang Suhang (Luoyang)
Abstract: The Goldbach Conjecture asserts that every even integer not less than 4 can be expressed as th...
Paper 2: Geometric Realizations of One-Dimensional Probability Distributions: Bell Curve, Staircase, Lattice, and Fractal
Author: Zhang Suhang
Affiliation: Luoyang, Henan
Continuing the probabilistic-geometric isomorphism fr...
Discrete Order Geometry (DOG) and Classical Fractal Geometry: Paradigm Comparison and Pain Point Resolution
Author: Zhang Suhang Luoyang
Abstract: Classical fractal geometry, with its core assumptions of infinite self‑similarity and ...
1. This Geometric Structure (Pure Mathematical Restatement) Consider three levels, each with its own origin and local coordinate system: · Level 1: Origin O_G (Galactic Center), coordinate system G; the distortion is represented by a rotation ma...
Supplemental Paper S‑01: From Linear Approximation to Higher‑Dimensional Tiling: Channel Unification and Dimensional Transition within Euler’s and Ramanujan’s Series under the Π Operator Framework
Author: Suhang Zhang (Luoyang School of Mathem...
URFE Calculates Celestial Orbits
Combining the Unified Recursive Field Equation (URFE) with scenario-based calculations for different gravitational field strengths, and following the previously defined symb...
Renormalization Group Equations for Quantum Gravity Based on the Discrete Parent GroupAuthor: Suhang Zhang, Luoyang, HenanAbstractThe ultraviolet divergences in quantum gravity originate from the assumption of infinitely differentiable continuo...
The Origin of the Natural Constant e in Spacetime Geometry within the DOG Discrete Order Geometry Framework
Author: Zhang Suhang Address: Luoyang, Henan
The natural constant e is a fundamental constant underlying m...
--- Native Derivation of Yang-Mills Equations within the DOG Framework (Under the Unified Four-Force Paradigm) Author: Zhang SuhangAffiliation: Independent Researcher, Luoyang, Henan --- Abstract Traditional Yang-Mills theory is a field-theor...
--- Derivation of the Weak Interaction from the MOC Unified Curvature Equation（UCE） Author: Zhang Suhang (Bosley Zhang), Luoyang --- 1. Basic Form of the MOC Unified Curvature Equation (UCE) The starting point of MOC is an action extremal pri...
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...
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...
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...
Liu Ezi struck it rich. “Struck it rich” might be an exaggeration, but for a rural woman who...
DOG Discrete Order Geometry: A Minimal Mathematical Paradigm for Unifying the Four Fundamental Interactions
Author: Zhang Suhang, Luoyang
I. Fundamental Unified Substrate
Let the set of all discrete spacetime lattice points in t...
Batch Incubation & Age-Staggered Development Protocol 1. Staged activation: Fertilized eggs are thawed and incubated in timed batches, with intervals of 1–3 years between groups, avoiding population and care overload. 2. Age-hierarchy ...