Proof that the Critical Line is the Principal Axis of Global Curvature Equilibration
Author: Zhang Suhang (Independent Researcher, Luoyang)
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Eleventh ...
Establishment of the Global Unified UCE Curvature Equation
System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical Paradigm Series Number: Tenth Paper
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Hierarchical Classification, Applicability Boundaries, and Value Analysis of Three Types of Flow Control Formulas under the Navier-Stokes System Author: Zhang Suhang AbstractRegarding the four core equations derived from the Multi-Origin Coordin...
Paper 4-2: Integral Channel: Cross-Dimensional Π Mapping of Scalar and Vector FieldsAuthor: Suhang Zhang, Heluo Mathematical SchoolReferences: OmittedAbstractThe Channel III of the Π operator relies on integral-type π quantities (Gaussian integral...
--- High-Dimensional Truth Gap: The Geometric Root of Gödel Incompleteness and Quantum Uncertainty
Author: Zhang Suhang, Luoyang, Henan
Gödel's incompleteness theorems reveal the existence of undecidable propositions in f...
Title: Under the DOG Discrete Order Geometry Framework, the Yang–Mills Equation Is No Longer a Foundational Challenge but a Natural Emergent Result of Spacetime Steady States
Author: Zhang Suhang
Address: Luoyang, Henan, China
Abstract ...
The Complete Closed Proof of the Riemann Hypothesis (UCE Coordinated Version) Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical ParadigmSeries Number: Fourteenth Paper --- A...
Paper 3-3: Ramanujan's Series for 1/\pi and Higher-Order Periodic Channels of the \Pi Operator Author: Zhang Suhang (Heluo Mathematical School) Abstract Ramanujan derived numerous elegant and rapidly convergent series for 1/\pi, who...
Part One: Analogical Foundation in Number Theory —— The Fractal Generation Logic of Composite Numbers
Abstract Starting from the constructive processes of number theory and fractal geometry, this paper ...
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...
MOC Higher-Dimensional Complex Space Reconstruction and the Intrinsic Geometric Definition of the Critical Strip Author: Zhang Suhang (Bosley Zhang / Bi Sulin)Research Affiliation: Luoyang Independent ResearcherSystem Affiliation: MOC‑MIE‑ECS‑UCE...
--- 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...
--- Resolution of the Barber Paradox within the MOC (Multi-Origin Curvature) Geometric Framework
Author: Zhang Suhang Founder of the Heluo Mathematical School
The Barber paradox (a popular version of Russell's paradox) reveals ...
Proof that Continuous Lie Groups are Special Cases of Discrete Groups from a Recursive Geometry Perspective
Classical group theory divides discrete groups and continuous Lie groups into two ...
Geometric Recursive Conservation Chain System: Reframing and Extending Classical Group Symmetry Theory
Classical physics established a binding paradigm of continuous symmetry group – Noethe...
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...
The Underlying Disruptive Impact of the DOG Paradigm on Universal Modular Systems
Author: Zhang Suhang, Luoyang
Abstract: Discrete Order Geometry (DOG) completely rewrites the underlying logic of modularity, transitioning from the old...
Yan Gaoshan got hired by the factory in town. It was an agricultural machinery repair...
--- 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 wheels spun wildly! From Haicheng to Lincheng, westbound, day and night. Wind...
--- Theoretical Support of Poisson Mechanics for the Geometric Progressive Conservation Law (GPCL)
Affiliation: Luoyang, Henan
Based on the core geometric axiom that "linear motion is equivalent to circul...
Discrete Order Geometry (DOG): A Geometric Paradigm Based on Fractal Nesting and Continued Fraction Scaling
Author: Zhang Suhang Luoyang
Traditional geometric systems (Euclidean geometry, Riemannian geometry) and classical fract...
Winter is here, and while some of us are bundled up indoors, others are craving the rush of a snowy mountain. If the slopes are calling your name, but you're stuck at your desk, then Snow Rider 3D offers a surprisingly satisfying alternative. This...
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...
Scientific Implications of Frequency Difference Determining Probability: God Does Not Play Dice This conclusion settles the long-standing debate between Bohr and Einstein. If we follow Bohr’s standpoint, the universe would descend into chaos. ...
Paper 1-1: Core Definition and Symbol System of the \mathcal{\Pi} Operator
As one of the most vital constants in the history of mathematics, \pi has long been confi...
Chapter 2: The Higher-Dimensional "OR" State: The Matrix of the Law of Excluded Middle Author: Zhang Suhang (Luoyang, Henan, China) Abstract This paper is the second installment in the research series Geometric Origin of the Law of Exc...
Chapter 6 ：Reconstruction of the Three Fundamental Laws of Logic: The Law of Identity, the Law of Contradiction and the Law of Excluded Middle as Products of Low-Dimensional Projection Author: Zhang Suhang, Luoyang, Henan Abstract This...
Part One：Structural Limitations of Classical Set Theory and the Necessity of Expanding the Hierarchically Nested Set Paradigm Author: Zhang Suhang, Luoyang, Henan Abstract Since the emergence of naive set theory and the establishment of the ...
Chapter 4: Projection Mapping \boldsymbol{\Pi} and State Collapse Mechanism: \boldsymbol{\Pi: \mathcal{T}\to\{0,1\}}, Forced Binarization and Emergence of the Law of Excluded Middle Author: Zhang Suhang, Luoyang, Henan Abstract ...
