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The Orientation and Purpose of Mathematical Logic under the Triadic Paradigm: A Jurisprudential Reconstruction Based on the MOC-MIE-ECS Framework
Abstract
Grounded in the three core paradigms of MOC (multi-origin higher-dimensional ge...
Title: Unification of Classical and Quantum Three Major Statistical Distributions Under the Framework of Multi-Origin Curvature and Maximum Information Efficiency
Authors: Zhang Suhang (Bosley Zhang, ) Independent Researcher in Theoretical an...
The Topological Essence and Engineering Substance of Dimensional Ascent: Flux Expansion, Planar Point Spatialization, and the Maximum Information Efficiency Axiom from 2D to 3D
Author: Zhang Suhang
Core Axiomatic Support: Multi-Origin Curvat...
--- Multi-Origin Curvature (MOC) and Maximum Information Efficiency (MIE) Framework for the Unified Theory of the Three Major Statistical Distributions in Classical and Quantum Physics —Including a Complete Proof and Geometric Realization of the...
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...
1. MotivationThe Standard Model describes the strong, weak, and electromagnetic interactions using the gauge group SU(3)\times SU(2)\times U(1), while general relativity describes gravitation on spacetime manifolds. The two frameworks are mathemat...
Ning Xiaoshuai started his new job at Nanshan Cemetery. He treasured the position as a cemetery...
Mark stood at the observation window, staring at the creature moulting inside the cultivation...
Global Fermat Number Cyclotomic Iterative Geometry
Fermat proposed the Fermat numbers F_k=2^{2^k}+1 and conjectured that all such numbers are prime. A century later, Gauss, in his Disquisitiones Arithmetic...
Author: Zhang Suhang, Luoyang Part I (Corresponding to 3.1): Axiomatic Constraint – Maximum Information Efficiency (MIE) in the Collatz System Axiomatic Reconstruction of the Collatz Conjecture (I): The Maximum Information Efficiency Axiom as...
The Decisive Influence of Gravity on the Evolution of Animal Body Size and Physiology In the natural world, the evolution of animal body size and species distribution is often attributed to climate, food availability, and competition. But the hid...
Soon, Yan Xiaofan turned three and was old enough to visit relatives with his parents for the New...
Another unfamiliar city. Xiaoshuai dragged his heavy feet out of the station, and a wave of...
Elena stood behind the observation window, her fingertips pressed against the cold glass,...
Axiomatic Proof of the Goldbach Conjecture: Based on the ECS Framework (Extremum-Conservation-Symmetry)
Author: Zhang Suhang (Luoyang)
Abstract: The Goldbach Conjecture asserts that every even integer not less than 4 can be expressed as th...
193 Cross-Disciplinary Unification via the Axiom of Maximum Information Efficiency: Murray's Law, Polyhedron Formula, and Fermat's Principle Author: Zhang Suhang, Luoyang Abstract: The Axiom of Maximum Information Efficiency (MIE), established...
Why Primes Are Bound to Elliptic Geometry: A Geometrical Ontology Based on Multi-Origin High-Dimensional Projection and Elliptic Convergence --- Abstract The distribution of primes exhibits a dual character: apparent randomness and deep regular...
Lin Hai stood in the command vehicle three hundred meters away, observing the fire through a...
--- Force as Potential Gradient: A Universal Theorem in Geometric Extremum Physics and a Unified Framework for Conservative Interactions (Revised Edition)
Abstract Based on the Multi-Origin Curvature (MOC) axiom of spatial description and the...
Information Topology: Theory of Reciprocal Topological Information Conservation Between High and Low Dimensions
Author: Zhang Suhang --- Abstract
Traditional geometry, fractal theory, and dimensionality reduction paradigms have long suffer...
All Functions Return to Elliptic Functions I. Proposition Within the unifying worldview that "geometry is the mapping of reality, ultimately culminating in number theory," the world of functions also has its ultimate destination: All functions ...
Once the dog days of summer began, rain came often to the village. It would pour noisily during...
The Lower Half of Geometry – On the Number-Theoretic Foundation of Complex Structures
Riemann once said: All geometry is the local structure of a manifold. On this cornerstone, he unified the geometric world of the continuous, the smooth, and t...
Complete Logical Chain in One Go:
From Abelian Group / Galois Group → Elliptic Function → Origin of Real and Imaginary → Hierarchical Unification of the Four Forces
I. Placing the Two Groups in Your “Symmetry Evolution Theory”
1) A...
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 ...
Liu Ezi struck it rich. “Struck it rich” might be an exaggeration, but for a rural woman who...
The Real Number System Is Contained in the Imaginary Number System Terminological note: In this essay, “imaginary number system” refers to the complete complex numbers a+bi, not the narrower set of pure imaginary numbers. The imaginary number ...
AI Behavior Mathematics Purpose To address the problems of single personality, rigid repetition, and lack of real human nature in current AI and robots, this paper proposes a simple, engineerable, and sustainably evolvable behavioral frame...
Relativity and quantum mechanics each have their own domains of application.In my view, relativity is better suited to explaining the behavior of macroscopic objects and celestial bodies, while quantum mechanics is more appropriate for describing ...
Ning Xiaoshuai had come to work at an electronics factory in Shenzhen, a city in southern China....