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 ...
Multi-Origin Curvature (MOC): A Geometric Interpretation of Mass Transfer and Thermo-Hydrodynamic Coupling in Packed Towers — Three Longstanding Engineering Pain Points Abstract The mass transfer and reaction thermal effects in packed tow...
On Innovation Capacity and the Ineliminability of Process Some people imagine: using gene editing to create a child, then inputting Einstein’s consciousness into that child, and the child will become Einstein. This fantasy overlooks a most funda...
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...
Since the beginning of systematic observations of natural motions, “force” has always been the core concept used to explain all changes in the world. From the movement of celestial bodies to the falling of objects, from electromagnetic induction t...
Proof That the Sphere Has the Minimal Surface Area Among Rotational Solids of Equal Volume (Rotational Case of the 3D Isoperimetric Inequality) Author: Zhang Suhang Conventional Approach The conventional proof relies on calculus of va...
---
The Origin of π in Spacetime Geometry within the DOG Discrete Order Geometry Framework
Author: Zhang Suhang Address: Luoyang, Henan
Abstract
Since ancient times, humanity has understood the circumference ratio π only throug...
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...
Convergence of Discrete Algebraic Riccati Equation and Uniform Estimation of Matrix Exponential Approximation Author: Suhang Zhang Luoyang Abstract This paper systematically studies two core problems in sample...
Theoretical Division and Complementary Relationship between MOC and MIEAuthor: Suhang Zhang, LuoyangWithin the present theoretical framework, Multi-Origin Curvature (MOC) and Maximum Information Efficiency (MIE) constitute two axiomatic systems wi...
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...
Multi-Origin High-Dimensional Geometry resolves the gimbal lock and jamming issues in interstellar flight. Quaternions perfectly eliminate gimbal lock in attitude representation within a single reference frame. Multi-Origin High-Dimensional Geom...
Hypothetical Cosmological Model Our universe does not expand forever in one direction. Instead, it follows the laws of energy conservation and the balance between gravity and repulsion, undergoing an eternal cyclic motion of expansion and contrac...
Introduction: Why Characters Matter in Every Story In every great story, characters play the most important role. A strong plot may attract readers, but it is the characters that make them stay. Readers remember how characters made them feel, how...
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...
Author: Zhang Suhang, Luoyang Third Paper (corresponding to 3.3): A Dynamic Model of Inevitable Convergence Axiomatic Reconstruction of the Collatz Conjecture (III): Comprehensive Proof of Convergence Necessity --- Abstract Based on the pre...
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...
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...
Supplemental Paper S‑04: Probabilistic Π Operators and Dimensional Transformation Theory for Stochastic ProcessesAuthor: Suhang Zhang, Heluo School of MathematicsAbstractThe classical Π operator framework has been established with a dual contin...
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 ...
--- The Unified Origin of Celestial Motion – Both Revolution and Rotation Are Inevitable Consequences of Curvature Vector Conservation Author: Zhang Suhang, Luoyang Abstract: Based on the MOC curvature vector conservation and ECS coupling balan...
Fermat’s Principle: An Optical Precursor to the Axiom of Maximum Information EfficiencyAuthor: Suhang ZhangLuoyangAbstractFermat’s principle (1657) states that light propagates between two points along the path that minimizes the optical path (or ...
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...
Multi-Origin High-Dimensional Geometric Neural Networks All current neural networks are fundamentally locked into two-dimensional planes, a single origin, and matrix tiling operations. No matter how large or deep the models become, they merely st...
Multi-origin high-dimensional geometry is almost a coordinate description framework tailor-made for robotics (especially serial manipulators and mobile robots). In simple terms: a robot is a mobile, nestable "multi-origin system". 1. The esse...
Supplemental Paper S‑05: Unification of Factorial System via Three-Channel Π Operators: Operator Formalization of Combinatorics, Factorials and the Gamma Function Author: Suhang Zhang Abstract Factorials, combinatorial counting and th...
--- The Four Great Lineages of Calculus: A Unified Classification Framework for Lines, Loops, Surfaces, and Volumes Author: Zhang Suhang (Luoyang) Abstract: Classical calculus presents a vast array of integral forms — ordinary definite integral...
Numbers are dancing points.Functions are floating lines.Geometry is manifolds and fluids.
The Primal Source of the Three Noether SymmetriesUnder the MOC (Multi-Origin Curvature) Framework...
The Ultimate Position of Functional Analysis in MOC Traditional Functional Analysis: Function → Infinite-dimensional vector space → Operator → Norm → Weak convergence → Hilbert space Everything is built upon: a single origin, a global linear ...