The Time Perspective of the Planck Tiny ManThe Planck Tiny Man is tiny not only in spatial scale but also in temporal scale, operating at 10⁻⁴³ seconds. At this scale, “quantum superposition” vanishes from its view: an electron does not pass throu...
Understanding Lease Return Inspections Lease agreements typically outline acceptable wear and tear. However, what may appear minor to an owner can be interpreted differently during inspection. Inspectors evaluate: Exterior paint conditionSurface...
Paper 5-1: Applications of the Π Operator in Engineering: 3D Modelling, Rotary Mechanisms and Periodic Oscillations Author: Suhang Zhang (Heluo School of Mathematics) Abstract The Π operator framework establishes a unified mathematical...
Paper 10: The Weil Conjectures under UPGS — Étale Random Walks, Curvature Duality, and ECS Stability
Author: Zhang Suhang Affiliation: Luoyang, Henan Date: May 25, 2026
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Abstract
Within the UPGS (Étale Probability Schemes) fram...
Conclusion: Low-Energy Approximation in the DOG System Strictly Conforms to the MIE Core Paradigm
Author: Zhang Suhang, Luoyang, Henan
I. Core Correspondence
1. Essence of MIE
MIE is the universal steady-state extremal ev...
Discrete Order Geometry (DOG) Framework for the Geometric Origin of Weak Interactions: From Discrete Chiral Lattice Points to the V–A Current Author: Zhang Suhang(Luoyang, Independent Researcher) Abstract: Based on the four‑dimensional discre...
Discrete Order Geometry (DOG) and Quantum Mechanics: Ontological Unification from Discrete Lattices to Quantum Representation
Author: Zhang Suhang Affiliation: Luoyang
Since its inception, quantum mechanics has been regarded as ...
Gabor Transform = Projection of MOC under "Fixed Scale + Gaussian Window + Single Origin" 1. Intuitive Correspondence - Fourier Transform: Global kernel e^{-i\omega t}, no localization. - Gabor Transform: Fourier kernel with a Gaussian wi...
The Significance of Game Theory in Multi-Origin High-Dimensional GeometryIn traditional game theory, a game refers to strategic choices made by rational agents under fixed rules, fixed payoffs, and a single global utility framework. It presupposes...
Supplemental Paper S‑03: Global Generalization of the Π Operator within the Framework of DOG Discrete Order Geometry
Author: Suhang Zhang （Luoyang School of Mathematics）
The conventional Π operator system is constructed upon t...
Paper 7: Flat Probabilistic Schemes — Migration from Geometric Measure Spaces to Étale Sites
Author: Suhang Zhang, Luoyang, Henan Abstract
Based on the axiomatic system of probability geometry established in previous papers (Paper 1 & P...
Part Two: Axioms and Mathematical Formulas —— Formal Foundations of the Composite Number Construction System
Author: Zhang Suhang (Luoyang, Henan)
Abstract Based on the analogical framework of “primes–composites” and “fractal pri...
DOG-FCE and MOC-UCE: Two Equivalent Physical Representations of the Same Unified Field Essence
Author: Zhang Suhang, Luoyang (Independent Researcher)
Within the axiomatic DOG-MOC grand unified system, there exist two co...
The Combinatorial Axiom Foundation of Discrete Order Geometry (DOG) – Construction of a High-Order Arrangement and Combination System for Geometric Configurations
Classical geometry an...
Discrete Order Geometry (DOG) First‑Principles Derivation of the Dirac Equation: Spinor Order and Relativistic Discrete Evolution
Author: Zhang Suhang (Luoyang, Independent Researcher)
Abstract – Based on the unified discrete evolution p...
Complete Self‑Consistency of Spatial, Evolutionary, and Constraint Triple Curvatures Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical ParadigmSeries Number: Thirteenth Paper ...
--- Clarification on the Relationship Between MIE and the Maximum Entropy Principle To avoid theoretical misunderstandings and academic ambiguity, this section specifically clarifies the intrinsic relationship between the Maximum Information Eff...
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 ...
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...
The Intuitive Unification of Macroscopic and Microscopic Curvature Spacetime curves. Fields also curve. For a long time, physics has treated the curvature of macroscopic spacetime and the intrinsic curvature of microscopic fields as two separate...
The Dual Constant Dynamic-Static Unification Principle in the DOG System
Author: Zhang Suhang Address: Luoyang, Henan
Within the complete framework of DOG discrete order geometry, the universe's two most fundamenta...
Construction of the Evolutionary Manifold of the Zeta Function
Author: Zhang Suhang (Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical‑Physical Paradigm Series Number: Paper No. 5
Abstract ...
MOC Axiomatic Construction of Multi-Origin Higher-Dimensional Space
Author: Zhang Suhang (Bosley Zhang / Bi Sulin) Research Affiliation: Luoyang Independent Researcher System Affiliation: MOC‑MIE‑ECS‑UCE Unified Mathematical‑Physical Paradigm...
Paper 8: Étale Random Walks and Arithmetic‑Quantum Unification under the UPGS Framework — Geometric Origins of Prime Distribution, Zeta Functions, and Born’s Rule Author: Zhang SuhangAffiliation: Luoyang, HenanDate: May 25, 2026 --- Abstrac...
Unified Theory of the Four Fundamental Interactions under the Discrete Lattice Paradigm of the DOG Universe Author: Zhang Suhang, Luoyang, Henan --- Core Synopsis The entirety of spacetime is fundamentally a giant discrete DOG cosmic lattice. ...
Title: The Geometric Positioning of the Probability Formula P = 1/(1+(\Delta\nu)^2) in DOG Spacetime Author: Zhang Suhang Address: Luoyang, Henan --- Abstract Within the framework of Discrete Order Geometry (DOG), the observed probability ...
Global Data Verification of the System and Summary of Paradigm Applications Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical ParadigmSeries Number: Sixteenth Paper --- Abst...
The elementary‑wave combination principles and consciousness encoding structure revealed by this theory can be directly integrated with brain‑computer interface (BCI) technology. By acquiring brain signals via EEG devices and performing Fourier de...
Consciousness State Database and Consciousness Encoding Dictionary 1. Theoretical Necessity of the Consciousness Database Within the framework of the Elementary‑Wave Combinatorial Consciousness Theory, any conscious state is uniquely determined ...
--- Part II: Beyond the Flat Static Set View: Establishing a Hierarchically Nested Set System Author: Zhang Suhang, Luoyang, Henan Abstract Classical set theory, with its flat, single-layered, statically fixed conception of sets as its foundat...
