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 ...
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...
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...
--- A Complete Solution System for the Three‑Body Problem within the Framework of Discrete Order Geometry (DOG) Author: Zhang SuhangLuoyang Abstract: Under the classical Newtonian continuous geometry system, the three‑body problem has been defi...
Axiom 1 (Tangential Convergence)Fluid tangential motion is necessarily smooth, stable, and convergent.Axiom 2 (Normal Boundedness)Although fluid normal disturbances are disorderly, their intensity remains finite and bounded at all times. Correspon...
Proof of the P vs. NP Problem within the DOG/MOC/ECS/MIE Framework
Author: Zhang Suhang Address: Luoyang, Henan
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Abstract
The P vs. NP problem is a central open question in theoretical computer science, asking whether every prob...
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...
MOC Paradigm: Complete Calculation of Earth-Sun-Moon Three-Body Gravitation Author: Zhang Suhang
Constants → Classical Model → MOC Multi-Origin Correction → Full Numerical Precision
I. Fundamental Physical Constants (Astronomi...
Title: Explicit Definition and Statistical Derivation of the MOC Geometric Constraint Term \mathcal{C}_{\text{MOC}}
Author: Zhang Suhang (Bosley Zhang) Correspondence: zhang34269@zohomail.cn Core Theories: MOC (Multi-Origin Curvature),...
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...
Relationship Between Curvature, Revolution and RotationSince real celestial bodies are not ideal rigid spheres, their mass distribution, tidal deformation, and fluid motions make the intrinsic relation between curvature and rotation difficult to v...
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...
According to the Elementary-Wave Combinatorial Consciousness Theory, the conscious signals in the brain are composed of several independent elementary waves. Each elementary wave corresponds to a circular motion, and the complete EEG waveform can ...
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 ...
In contemporary biological breeding, species propagation, and ecological germplasm cultivation, a one-sided and deeply entrenched consensus has long been solidified: hybridization equals advantage, crossbreeding equals improvement, and inter-varie...
The first light of dawn pierced through Amazon’s dense canopy, dappling the damp earth with...
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...
--- 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...
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 Planckian Homunculus – A Different Kind of Observation If we could shrink ourselves down to the Planck scale – that extreme microscopic world where space is as small as 10^{-35} meters and time as short as 10^{-43} seconds – and become, so to...
--- Part III: Subordination Relations, Nesting Rules, and Cross-Layer Mapping Systems for Hierarchical Sets Author: Zhang Suhang, Luoyang, Henan Abstract Building upon the establishment of the hierarchically nested set paradigm and the three-l...
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...
Conclusion: Low-Energy Approximation in the DOG System Strictly Conforms to the MIE Core Paradigm
I. Core Correspondence
1. Essence of MIE
MIE is the universal steady-state extremal ev...
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 ...
Under the MOC paradigm, the complete analytical equations for the gravitational three-body problem of the Earth, Moon, and Sun. Author: Zhang Suhang (followed by the detailed sections I–IV as in your Chinese text) …Is this acceptable? My res...
Lunar Colony Base Functional Design Based on 2D-to-3D Elevation Theory: Flow Expansion, Point-Set Stereoscoping, and the Maximum Information Efficiency Axiom
Associated Preprints: The Axiomatic Structure and Closure of Geometric Field Theory (v...
Gene Editing Chemistry: The Next Revolutionary Track in Industrial Manufacturing
Since the dawn of industrialization, the chemical industry has gone through two major developmental stages: fossil refining and artificial chemical synthesis. It h...
--- High-Dimensional Truth Gap: The Geometric Root of Gödel Incompleteness and Quantum Uncertainty
Gödel's incompleteness theorems reveal the existence of undecidable propositions in f...
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...
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...