Frequency Difference Determines Probability: Geometric Proof of God Does Not Play Dice from the Perspective of Discrete Order Geometry Author: Zhang Suhang Address: Luoyang, Henan, China Abstract The intrinsic randomness of probabi...
Establishment of the Global Unified UCE Curvature Equation
Author: Zhang Suhang (Independent Researcher, Luoyang)
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Tenth Paper
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Multi-Origin High-Dimensional Geometry and the Chip Revolution: From the Two-Dimensional Dead End to One-Stroke High-Dimensional ConnectivityAll core bottlenecks of modern chips—routing congestion, signal interference, heat concentration, timing d...
Paper 4-3: A Study on the Complementarity between the Π-Operator and Classical Differential OperatorsAuthor: Suhang Zhang (Luoyang School of Mathematics）Abstract Classical differential operators including gradient, divergence, curl, Laplacia...
Paper 3-3: Ramanujan's Series for 1/\pi and Higher-Order Periodic Channels of the \Pi Operator
Author: Zhang Suhang (Luoyang School of Mathematics）
Ramanujan derived numerous elegant and rapidly convergent series for 1/\pi, wh...
Convergence of the Solution to the Discrete Riccati Equation with Respect to Sampling Period Author: Suhang Zhang Luoyang Abstract
This paper rigorously proves that as the sampling period h\to 0^+, the solution of the disc...
Core Applications of MOC Multi-Origin High-Dimensional Geometry in Giant Satellite Constellation Networking 1. Pain Points and Root Causes Low-Earth orbit (LEO) giant constellations (Starlink, China Starnet, etc.) face three rigid constrai...
The Essential Meaning of Sets in the Multi-Origin High-Dimensional SystemIn traditional Euclidean geometry and classical set theory, a set is merely a container for points and elements, attached to a single global origin. All coordinates, metrics,...
A Physical Proof of the Isoperimetric Problem —— On the Isomorphism with the Method for the Poincaré Conjecture Abstract This paper presents a complete proof strategy for the isoperimetric problem: by introducing the potential energy E = ...
Yan Gaoshan got hired by the factory in town. It was an agricultural machinery repair...
Papers 3-4: Number-Theoretic Mapping of Modular Forms, Elliptic Functions and the Π Operator
Author: Suhang Zhang (Luoyang School of Mathematics） Abstract
Modular forms and elliptic functions are core objects in number theory and comple...
Geometric Recursive Conservation Chain System: Reframing and Extending Classical Group Symmetry Theory
Author: Zhang Suhang, Luoyang, Henan
Classical physics established a binding paradigm of continuous symmetry group – Noethe...
Paper 5: Stochastic Processes and Geometric Flows: From Random Walks to Brownian Motion and Quantum Probability Author: Zhang Suhang Affiliation: Luoyang, Henan Abstract This paper extends the probability-geometry isomorphism frame...
Proof of the P vs. NP Problem within the DOG/MOC/ECS/MIE Framework
Author: Zhang Suhang Address: Luoyang, Henan
The P vs. NP problem is a central open question in theoretical computer science, asking whether every prob...
The Impact of Multi-Origin High-Dimensional Geometry on Radar DesignIn modern national defense and detection systems, radar has long been more than a device for detecting targets. It serves as a core strategic equipment supporting battlefield situ...
It was rush hour on Subway Line 10. Wei Ling gripped the overhead handrail, his body swaying back...
Numbers are dancing points.Functions are floating lines.Geometry is manifolds and fluids.
So Mighty is the Pull: Reflections on Mechanics
So mighty is the pull, so vast its spirit. For millennia, humanity's quest to understand the forces of the universe has carried this indomitable resolve.
Starting from the sages who came before...
DOG Discrete Lattice Unified Four-Force System: Completeness Conclusion for Quantitative Computation
Author: Zhang Suhang, Luoyang
Core Conclusion
The unified four-force mathematical-physical system based on Discrete Order Geome...
Application of MOC Multi-Origin High-Dimensional Geometry in Thermal Infrared Imaging Abstract: Aiming at the common engineering problems in current thermal infrared imaging, such as multi-source thermal interference, atmospheric and optical t...
Lorentz Covariant Extension of the Geometric Progressive Conservation Law: Unification of Classical and Relativistic Conservation Author: Zhang SuhangAffiliation: Luoyang, Henan --- Abstract The Geometric Progressive Conservation Law (GPCL)...
Part Three: Fractal-Coefficient Coupled Evolution —— Synchronous Mapping from Numerical Parameters to Graphical Forms
Author: Zhang Suhang (Luoyang, Henan)
Abstract Based on the analogical framework and axiomatic system establish...
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 ...
Paper 1-1: Core Definition and Symbol System of the \mathcal{\Pi} Operator
Author: Zhang Suhang Founder of the Luoyang School of Mathematics
As one of the most vital constants in the history of mathematics, \pi has long been c...
Paper 9: The Riemann–Roch Theorem under UPGS — A Geometric Proof Based on the Étale Heat Kernel, MIE Variational Principle, and ECS Conservation Laws
Author: Zhang Suhang Affiliation: Luoyang, Henan Date: May 25, 2026
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Interstellar Corridor (Part I): A Foundational Theory of Low-Energy Interstellar Travel Based on Natural Spacetime Curvature Gradients Author: Zhang Suhang, Luoyang Abstract Current interstellar travel theories face core dilemmas: extremely l...
Reflections on Machism With a Discussion on Time as the Flow of Energy Preface When I was young, I had an intuition: time is the flow of energy. Later, through reading, I learned this was not considered “professional”. Physicists would say...
The Origin of π in Spacetime Geometry within the DOG Discrete Order Geometry Framework
Since ancient times, humanity has understood the circumference ratio π only throug...
--- Conclusion: Low-Energy Approximation in the DOG System Simultaneously Conforms to the MIE Extremum Criterion and the ECS Symmetric Equilibrium Steady State — A Triple Self-Consistent Closed Loop Author: Zhang Suhang, Luoyang, Henan --- I. ...
The Possibility of Consciousness Uploading Within the framework of the Primitive Wave Combinatorial Consciousness Theory, consciousness uploading is no longer mere science fiction, but an achievable goal with a clear theoretical path. Since any ...