Solar energy has become increasingly popular over the years. The government has many incentive programs available for home and business owners to install solar power systems. It is possible to get rebates, tax credits and other incentives to insta...
Most people imagine that the Internet of Things is mostly confined to smart homes. However, its wide range of applications can be extended to the marine and fish conservation. For instance, Fishackathon, which was initiated by the U.S. Department ...
The Veterinary Assistant Program is a program offered by Insignia College in Canada. It is designed to provide students with the necessary knowledge and skills to become entry-level veterinary assistants. A Diploma in veterinary assistant in Cana...
Paper 6: Dynamic Midpoint Extremum Theorem: The Dynamic Tripartite Unification of Probability–Geometry–Algebra (UPG) Author: Zhang Suhang Affiliation: Luoyang, Henan Abstract This paper establishes the Dynamic Midpoint Extremum Theore...
Type 2 diabetes occurs in 90% of patients. The disorder has dangerous complications, often fatal. Unfortunately, people rarely seek help on time, missing the moment when the disease can be stopped at the initial stage, the so-called pre-diabetes. ...
Foundations of Arithmetic Manifold Geometry （AMG） — A Programmatic OutlineAuthor: Zhang SuhangDate: May 2026AbstractIn traditional mathematics, geometry, mapping theory and number theory have long developed separately: differential geometry invest...
Feynman believed that it is unlikely to unify the four fundamental forces (strong, weak, electromagnetic, and gravitational) completely within a single formula or theory.I agree with Feynman’s view.Unification of the Four Forces: Unity at the Leve...
MOC Information Topology: The Theory of High-Low Dimensional Inverse Topological Information Conservation Author: Zhang Suhang Abstract Traditional geometry, fractal theory and dimensionality reduction theories have long been plagued b...
Matrices handle multivariate problems.Group theory solves higher-order equations. Higher-degree equations are shaped by curves swaying back and forth.Sway more intensely, and you get surfaces.Sway even more wildly, and you get solids. Orderly sw...
Group Structures in Discrete Order Geometry（DOG）Author: Zhang Suhang(Luoyang, Henan)AbstractDiscrete Order Geometry (DOG) takes finite discrete lattice points, nested order and local correlations as its ontology. This paper constructs group struct...
Brain waves can be rigorously decomposed using Fourier analysis, and consciousness can be mathematically described as the combinatorial coding of these primitive waves.
This is not only valid but also cutting-edge in science. Let me explain t...
The Unity of Rotation and RevolutionIn previous theories, rotation and revolution are treated as separate and unrelated phenomena—rotation is rotation, revolution is revolution, as if they move independently with no connection to each other.But I ...
Take the solar system as an example.The rotation of the Sun distorts the spacetime of the solar system, leaving behind traces in the cosmos that resemble folds and creases.The planets travel along their respective folds, which are their orbits—and...
Why Does the Earth Rotate?
After physics class in high school, I asked my teacher, “Why does the Earth rotate?”
My teacher said, “Newton didn’t know either, so he simply said God gave the Earth a kick, and that’s why it spins.”
But the ...
Global Fermat Number Cyclotomic Iterative Geometry
Author: Zhang Suhang
Abstract
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...
UPGS: A Preliminary FrameworkUPGS: Extending and Interfacing the UPG Framework with Scheme Theory Author: Zhang SuhangAffiliation: Luoyang, Henan --- Abstract This paper establishes an interface between UPG and scheme theory, embedding the pro...
A Self-Consistent Derivation Chain of Conservation Laws Geometric Progressive Conservation Law（GPCL）
(Strictly valid under no external force, no external torque, one-dimensional / free curvilinear motion, consistent with the geometric view tha...
Paper: Foundational Axioms and Isomorphism System of Fractal Continued-Fraction Geometry (FCFG)
In the existing mathematical framework, continued fractions belong to the domains of number theory and analytic approximation, while sel...
How to Verify the Theory of RotationEvidence 1The closer to the center of the Milky Way, the greater the spacetime curvature and deflection, and the faster the angular velocity of rotation and revolution of celestial systems.The farther from the c...
Riemannian Manifold Structures in Discrete Order Geometry (DOG) ——Continuity of Lattices and Discreteness Between Lattices
(Luoyang, Henan)
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Discrete Order Geometry (DOG) takes discrete lattice poin...
I. Relations Among the Three SymmetriesTranslational symmetry corresponds to straight lines,rotational symmetry corresponds to curves.A straight line is a curve with zero curvature.Therefore, translational symmetry is inherently a special case of ...
URFE Calculates the Hohmann Window
The following directly uses URFE → Newtonian gravity + Keplerian orbits to calculate, without extraneous detail, the launch time and orbital parameters for minimum fuel c...
DOG Discrete Order Geometry and Hilbert SpacesAuthor: Zhang Suhang(Luoyang, Henan)AbstractDiscrete Order Geometry (DOG) takes finite discrete lattice points, nested order and local correlations as its ontology, without presupposing a continuous sp...
When I was in high school, my physics teacher taught that the Moon has no magnetic field, while the Earth does. Thanks to the magnetic field, humans can use a compass to find direction when lost in the desert. For navigation at sea, the compass i...
A Minimal Derivation of the Mass-Energy Equation E = mc^2 – Dual Application of Definite Integral and the Principle of Least Action
Zhang Suhang (Luoyang, Independent Researcher)
Traditional derivations of the mass...
All Fundamental Two-Dimensional Geometric Figures Reduce to the Ellipse: A Unified Argument Based on Projective Equivalence and Curvature-Extremum Convergence Abstract Traditional Euclidean geometry has long classified planar figures according t...
Operator Algebra Structures in Discrete Order Geometry (DOG)
Author: Zhang Suhang (Luoyang, Henan)
--- Abstract
Discrete Order Geometry (DOG) takes finite discrete lattices, order nesting, and local correlation as its ontology. This pap...
Three observational evidences support the viewpoint of this paper: 1. The bending of electric arcs demonstrates that electric charges can induce local intrinsic curvature of the electromagnetic field, and electric current propagates along the ...
Generalized Upgrade of the Turing Computation Model: A Dimension-Ascension and Dimension-Reduction Dual Framework from One-Dimensional Sequential Computation to Multi-Dimensional Topological Parallel Computation Author: Zhang Suhang Abstract T...
Structure of My Geometry Author: Suhang Zhang（Luoyang School of Mathematics）1. The overall barycenter of the Milky Way → First Origin, First Hierarchy2. The Sun (local barycenter within the Milky Way) → Second Origin, Second Hierarchy3. The Ear...
