Complete Derivation of the Unified Recursive Field Equation (URFE) Author: Zhang Suhang
1. Core Prerequisite Theories
Foundation: MOC Multi-Origin Geometry, DOG Discrete Order Geometry, GPCL Geometric Recursive Conservation Chain, Unifie...
49 Conservation Laws Corresponding to the Three SymmetriesIn the framework of physics, the correspondence between symmetry and conservation is a fundamental principle running through both classical and modern physics. Noether’s Theorem precisely r...
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...
--- Part One Title: The Geometric Foundation and Model Transformation of the Kakeya Conjecture via DOG-MOC
Author: Zhang Suhang (Bosley Zhang) Location: Luoyang, Henan, China Date: May 2026
Abstract
Under the framework of Multi-Origin...
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The Orientation and Purpose of Mathematical Logic under the Triadic Paradigm: A Jurisprudential Reconstruction Based on the MOC-MIE-ECS Framework
Grounded in the three core paradigms of MOC (multi-origin higher-dimensional ge...
First Avenue on the Fourth Ring Road had descended into total chaos. Hundreds of taxis...
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 ...
Derivation of the Law of Large Numbers Under the Principle of Maximum Information Efficiency ——Proof of a Special Subclass Within the MOC Framework Author: Zhang Suhang, Luoyang Core Theoretical System: MOC (Multi-Origin High-Dimension...
Discovering a new nation is much more than simply tasting delicious local cuisine or taking in stunning scenery—it's also about having enlightening conversations with locals about their cultures and customs. Language limitations can prevent many t...
Relativity and quantum mechanics each have their own domains of application.In my view, relativity is better suited to explaining the behavior of macroscopic objects and celestial bodies, while quantum mechanics is more appropriate for describing ...
Proof that Continuous Lie Groups Are Special Cases of Discrete Groups from a Recursive‑Geometric PerspectiveAuthor: Suhang Zhang(Luoyang, Henan, China)AbstractClassical group theory divides discrete groups and continuous Lie groups into two mutual...
Summer Vacation Ended Quietly The summer vacation had slipped away without a sound. ...
Derivation of the Central Limit Theorem Under the Principle of Maximum Information Efficiency——Proof of a Special Subclass Within the MOC FrameworkAuthor: Zhang Suhang, LuoyangCore Theoretical System:MOC (Multi-Origin High-Dimensional Geometry),MI...
The sky above Proxima Centauri b was a melancholy, dim gray. A thin layer of volcanic ash covered...
In the framework of multi-origin geometry, the novel curvature of space exhibits a positive correlation with the rotation and revolution of celestial bodies: the greater the curvature, the higher both the intrinsic rotational angular velocity and ...
The delivery room door finally opened. A nurse came out holding a swaddled baby, her voice...
1. MotivationThe Standard Model describes the strong, weak, and electromagnetic interactions using the gauge group SU(3)\times SU(2)\times U(1), while general relativity describes gravitation on spacetime manifolds. The two frameworks are mathemat...
Su Yuan tapped her arm lightly, a smile on his lips. “Xiao Qian, I saw a funny joke online. Want...
Being 17 and in Class 12 feels like standing in the middle of a storm sometimes. There’s pressure to score well, plan a future, handle family expectations, and still be a teenager who wants to laugh, scroll Instagram, or hang out with friends. At...
Wei Ling sat cross-legged on the sofa, a bowl of instant noodles balanced on his knee. The cold...
The Stationary Value of Geodesics and Curvature Accumulation Author: Suhang Zhang
This note organizes two topics in Riemannian geometry that are often taught separately: the variational stationary-value definition of geodesics, ...
Time sped by as if pressed on fast forward, slipping through fingers silently, leaving no trace....
Willett’s perspective was strikingly original. The pursuit of novelty and transformation was the...
Multi-Origin High-Dimensional Geometry and TopologyIn the landscape of classical mathematics, topology is devoted to the study of properties preserved under continuous deformations of space. It concerns connectivity, compactness, genus, parity, an...
Nature and Science reprinted the paper on their front pages. MIT, Stanford, Oxford, Cambridge—...
From December 5 to 9, 1952, London was engulfed in thick, suffocating smog. Transportation...
From Newton to Riemann, from fluxions to manifolds. Everything flows, nothing stands still. Is mathematics really so dull and boring? I don't think so!
Pure MOC Multi-Origin Framework: A Complete Explanation of Mercury’s Perihelion Precession I. First, pinpoint the common flaw in Newtonian mechanics and general relativity 1. Newtonian systemAssumes the solar system has only the Sun as a single ...
Newton’s Bucket Experiment The Newton’s bucket experiment is a classic thought experiment described by Isaac Newton in 1689. By observing the shape of the rotating water surface, Newton argued for the existence of absolute space. This experim...
--- MOC Coordinate System: Geometric Definition of Multi-Origin Hierarchical Nesting and Degeneration to Classical Coordinates Author: Suhang Zhang --- Abstract Based on the Multi-Origin Curvature (MOC) geometric framework, this paper prese...
