Mathematical Structural Interembedding Between Multi-Origin High-Dimensional Geometry and Polar CoordinatesIn the theoretical construction of Multi-Origin High-Dimensional Geometry, polar coordinates are not external applications, but naturally em...
Hypothetical Cosmological Model Our universe does not expand forever in one direction. Instead, it follows the laws of energy conservation and the balance between gravity and repulsion, undergoing an eternal cyclic motion of expansion and contrac...
Paper 2-4: Quadratic Solids of Revolution: Generalization of the Π Operator for Ellipsoids and Analysis of Eccentricity Effects Author: Zhang Suhang (Heluo Mathematical School) Abstract An ellipsoid is a natural generalization of a ...
On the Central Position of Geometry in Mathematics
For a long time, many people merely regard mathematics as a tool for calculation and problem-solving, which greatly narrows its true meaning. Mathematics is essentially an organic and vibran...
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Analytical Solutions to Two Classical Challenging Problems in Statistical Physics within the Multi-Origin Curvature （MOC）and Maximum Information Efficiency （ MIE）Framework
Author: Zhang Suhang (Le Zhang, Bosley Zhang)
Independent Rese...
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...
1. Strong Interaction - Symmetry Group: SU(3) The gauge group of color charge, and the...
The first light of dawn pierced through Amazon’s dense canopy, dappling the damp earth with...
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...
Paper 2-2: Dual Rotation Structure: Π Transformation Rules for TorusAuthor: Suhang Zhang (Heluo Mathematical School)AbstractA torus is a 3D solid formed by rotating a circle (generatrix circle) of radius a around a coplanar non-intersecting axi...
--- The Four Great Lineages of Calculus: A Unified Classification Framework for Lines, Loops, Surfaces, and Volumes Author: Zhang Suhang (Luoyang) Abstract: Classical calculus presents a vast array of integral forms — ordinary definite integral...
Imaginary numbers represent direction. Rotation changes direction. Translation changes position. Ellipses and hyperbolas differ only in real versus imaginary directions. They are fundamentally unified. People have long treated the ellipse,...
MOC Differential Geometry · Trinity of Applied Mathematics Analysis · Optimization · Learning — Three Scales of the Same Thing --- I. Traditional Perspective: Three Disciplines Separate, Each Fighting Alone In the traditional system of applied...
Geometry is the Mapping of the Real World, and It Ultimately Returns to Number Theory I. Proposition Statement This statement is not a theorem, but a worldview. It declares the relationship among the three major branches of mathematics at the ul...
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...
Other Methods of Converting Energy into MassIn addition to the Higgs field endowing elementary particles with mass, the universe contains multiple mechanisms for generating mass through energy conversion. Together, these processes produce the vast...
Pure MOC Multi-Origin Framework: A Complete Explanation of Mercury’s Perihelion Precession I. First, pinpoint the common flaw in Newtonian mechanics and general relativity 1. Newtonian systemAssumes the solar system has only the Sun as a single ...
--- Geometric Reconstruction of the Nature of Spacetime under the MOC Framework: Curvature Configuration Theory Author: Zhang Suhang, Luoyang Abstract Classical physics regards spacetime as a background stage independent of matter, while relat...
Theory of Biomimetic Fractal Topological Coupling and Dimensional Gradient Transition Transmission I. Core Theoretical Essence This theory takes the natural fractal structures of tree roots and leaf veins as its fundamental logical origin. It br...
Mellin Transform and Z-Transform: Projections in Multiplicative and Discrete Geometries
Within the MOC framework, the Fourier, Laplace, wavelet, and Gabor transforms correspond to structures on the Euclidean line, characterized by additive tran...
Axioms and Definitions of the MOC Core — Paradigm Substitution of Classical Mechanical Quantities by Multi-Origin Vector Curvature Author: Zhang Suhang, LuoyangAbstractThis paper formally establishes the axiomatic foundation of the MOC (Multi-Or...
The Core Logic of the Universe’s Eternal Motion Ultimate Minimal Axiom Force arises from potential difference.Parity is intrinsically broken.Potential difference never vanishes.Therefore, the world moves eternally. --- Layered Philosophical Ex...
Unification of the Four Fundamental Forces Gauge fields have unified the weak force, strong force, and electromagnetic force. However, they have not unified gravity and electromagnetic force. I have unified gravity and electromagnetism using...
Why are gravitational force and Coulomb force so similar?
The first scientist to explore this phenomenon was the famous Michael Faraday, though he obtained no conclusive results.
Later, people explained this phenomenon with the following r...
DOG Discrete Order Geometry and Modular Forms: The Recursive Nature of Coefficient Sequences
Author: Zhang Suhang Address: Luoyang, Henan
Abstract
Modular forms are central objects in number theory and algebraic geometry; their Fo...
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),...
Liu E’zi always went to the town market only on the fifth and tenth days of each lunar month. On...
Consciousness is not determined by any single type of brain wave alone, but by the dynamic coding structure formed by the permutation and combination of various fundamental brain waves, which directly corresponds to a specific state of consciousne...
We often think that mass is an innate property of objects. A stone, a speck of dust—they all seem to possess weight and substantial existence by birth. But looking into the vast universe and tracing back to the very origin, mass is not inherent at...
Supplemental Paper S‑01: From Linear Approximation to Higher‑Dimensional Tiling: Channel Unification and Dimensional Transition within Euler’s and Ramanujan’s Series under the Π Operator Framework Author: Suhang Zhang (Heluo School of Mathemat...