A Proof of the Collatz Conjecture within the ECS Framework: Based on Extremum-Conservation-Symmetry Axioms Author: Zhang Suhang (Luoyang) Abstract: The Collatz conjecture is a classic unsolved problem in the field of discrete dynamical systems, ...
Xiaoke was dragged to the end of the hallway by his buddies during the study break. The phone screen blazed brightly. The words in the chat pierced him like needles: Xiaoyun had checked into a cheap hotel near the school with another guy. ...
Silent and reserved, Ning Xiaoshuai endured the strange looks from others and the teasing...
Time sped by as if pressed on fast forward, slipping through fingers silently, leaving no trace....
--- 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...
Author: Zhang Suhang, Luoyang Part I (Corresponding to 3.1): Axiomatic Constraint – Maximum Information Efficiency (MIE) in the Collatz System Axiomatic Reconstruction of the Collatz Conjecture (I): The Maximum Information Efficiency Axiom as...
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 ...
Earth was finally calm. The Moon’s tides continued to slow its rotation. A day stretched...
Quantitative Orbital Calculation Capability of the MOC System: From Topological Criterion to Algebraic MappingAuthor: Zhang Suhang (Luoyang)AbstractBased on the axiomatic framework of the MOC system (curvature vector conservation + ECS coupling eq...
Multi-Origin High-Dimensional GeometryA Unified Framework: Dynamics · Information Theory · Neural Networks I. FoundationMulti-Origin + Curvature Space + High-Dimensional Projection- Each node (particle, information source, neuron) acts as an indep...
The army arrived just in time, saving Dr. Elena Kolevskaya and Yuri Petrov, who had nearly been...
Paper 5-3: Prospect of System Expansion: Interdisciplinary Developments toward Non-Euclidean Manifolds, Quantum Field Theory and Advanced Number Theory
Author: Suhang Zhang (Luoyang School of Mathematics）
Abstract
The Π operator framew...
Application Chapter —— Grounded Mapping of the Three‑Layer Number‑Theoretic Structure in Computing and Engineering
Author: Zhang Suhang (Luoyang, Henan)
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Abstract Based on the three‑layer structure of “prime primitive – regular co...
The forty-fourth year of the Jiajing reign, late autumn. The glazed tiles of the Forbidden...
It was another five hundred million years before God truly remembered Mars. “Remembered”...
Time rolled back to a day, 66 million years ago. In the shallow seas of Mexico’s Yucatán...
Wei Ling sat cross-legged on the sofa, a bowl of instant noodles balanced on his knee. The cold...
God makes all things with the greatest economy and efficiency. That is the essence of MlE. MlE provides mathematical support for Darwin's theory of evolution. Redundant structures that serve no purpose and consume resources t...
DOG Discrete Order Geometry and Modular Forms: The Recursive Nature of Coefficient Sequences
Author: Zhang Suhang Address: Luoyang, Henan
Modular forms are central objects in number theory and algebraic geometry; their Fo...
Extremum-Conservation-Symmetry (ECS) Universal Unification TheoryStructure-Preserving Extension of Discrete Systems to Continuous Limits苏杭 Zhang, Bosley Zhang(Luoyang) AbstractThis paper rigorously addresses the limit transition problem from discr...
Unified Geometric Axiom of Rectilinear and Circulating FlowAxiomatic StatementUnified Flow Axiom: For any steady or asymptotically stable flow, its trajectory satisfies the following in a local coordinate system:(i) Normal Boundedness – Displaceme...
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...
One day, God called for his servant. He had never intended to do so. In four and a half...
The night wind carried the chill of drizzle, brushing against Lin Wan’s bare shoulders—and...
--- Title: From MOC Geometric Constraints to the Three Major Statistical Distributions: A Combinatorial Topological Derivation Author: Zhang Suhang (Bosley Zhang)Correspondence: zhang34269@zohomail.cnCore Theories: MOC (Multi-Origin Curvature), ...
Multi-Origin High-Dimensional Geometry and Fiber Bundle Theory
Fusion Application
Multi-Origin High-Dimensional Geometry can be integrated and applied with Fiber Bundle Theory.
- Base Space: the lower-layer structure (Galaxy) - Fiber: th...
The rain came again, fine threads drifting through the night, thick with the damp smell of wet...
Paper 2-4: Quadratic Solids of Revolution: Generalization of the Π Operator for Ellipsoids and Analysis of Eccentricity Effects
Author: Zhang Suhang
（Luoyang School of Mathematics） Abstract
An ellipsoid is a natural generalization of a...
Why can some physical laws be generalized to mathematics? Because both physics and mathematics are mappings of the objective world onto two different domains.
I even feel that physics is the transition of the objective world's mapping into math...
--- 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...