Geometric Recursive Conservation Chain System: Reframing and Extending Classical Group Symmetry Theory
Author: Zhang Suhang, Luoyang, Henan
Abstract
Classical physics established a binding paradigm of continuous symmetry group – Noethe...
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...
Mass Is Not Absolute: A Brief Reflection on Fields and Mass For a long time, people have regarded mass as an innate, fixed property of matter, as if it could exist absolutely, independent of its surroundings. But with deeper understanding of t...
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...
Geometric Progressive Conservation Law and the Complementary Architecture of Noether Theorem — Dual Paradigm Unification of Geometric Origin and Symmetric Origin
Author: Zhang Suhang Affiliation: Luoyang, Henan
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In class...
--- Theoretical Support of Poisson Mechanics for the Geometric Progressive Conservation Law (GPCL)
Author: Zhang Suhang
Affiliation: Luoyang, Henan
Based on the core geometric axiom that "linear motion is equivalent to circul...
The Optimal Solution for Interstellar Colonization: Nuclear Power + Interstellar Corridor + Human Cryopreservation + Fertilized Eggs + Artificial Womb Author: Zhang Suhang Under the realistic constraints of an unbreakable speed of light and th...
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...
Applications of MOC Multi-Origin High-Dimensional Geometry in Earth–Moon Satellite Networking1. Pain PointsAt a distance of 380,000 kilometers, the Earth–Moon system contains multiple gravitational centers, including the Earth, the Moon, and the L...
Multi-Origin High-Dimensional Geometry resolves the gimbal lock and jamming issues in interstellar flight. Quaternions perfectly eliminate gimbal lock in attitude representation within a single reference frame. Multi-Origin High-Dimensional Geom...
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 ...
The first light of dawn pierced through Amazon’s dense canopy, dappling the damp earth with...
When Wei Ling received the distress signal from Proxima b, the alien script looked...
Numbers are dancing points.Functions are floating lines.Geometry is manifolds and fluids.
A Gentle Discussion on the Higgs Field and the Origin of Mass In popular science, the way the Higgs boson gives elementary particles their mass is often compared to a celebrity moving slowly through a crowd of fans. This analogy is vivid and e...
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 = ...
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 ...
Complete Exclusion of All Counterexample Paths at the Curvature Level Author: Zhang Suhang(Independent Researcher, Luoyang) System Affiliation: MOC–MIE–ECS–UCE Unified Mathematical-Physical ParadigmSeries Number: Fifteenth Paper --- Abstract ...
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 ...
Multi-Origin High-Dimensional Geometric Neural Networks All current neural networks are fundamentally locked into two-dimensional planes, a single origin, and matrix tiling operations. No matter how large or deep the models become, they merely st...
--- 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...
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 tripartite unifying framework of probabil...
Convergence of the Solution of the Discrete Riccati Equation with Respect to the Sampling Period
Author: Zhang Suhang, Luoyang
This paper gives a self-contained proof that the solution P_h of the discrete algebraic Riccati equati...
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...
Multi-origin high-dimensional geometry is almost a coordinate description framework tailor-made for robotics (especially serial manipulators and mobile robots). In simple terms: a robot is a mobile, nestable "multi-origin system". 1. The esse...
The Pacific Ocean is a gift from God. The circular motion of ocean currents, combined with the rotation of the Earth, produces two superimposed centrifugal effects. Together they create exactly the same phenomenon as Newton’s bucket experiment. ...
Wei Ling developed a mini-program named A World Apart, Yet Nearest Heart based on their messages...
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...
--- Resolution of the Barber Paradox within the MOC (Multi-Origin Curvature) Geometric Framework
The Barber paradox (a popular version of Russell's paradox) reveals the logical contradiction arising from "se...
--- 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. ...