Elliptic Function Interpretation of the Four Fundamental Forces1. General PrincipleMathematically: Trigonometric functions are only a degenerate special case of elliptic functions; elliptic functions are the general mother structure.Physically: Th...
In the framework of multi-origin geometry, the novel curvature of space exhibits a positive correlation with the rotation and revolution of celestial bodies: the greater the curvature, the higher both the intrinsic rotational angular velocity and ...
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 ...
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...
The charge energy equation is derived from the law of conservation of energy, based on the annihilation of an electron and a positron into two photons. E = Kq,K=5.1×10⁵ J/C.
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...
1. Strong Interaction - Symmetry Group: SU(3) The gauge group of color charge, and the...
What is the AI in Reinforcement Learning Market? The AI in Reinforcement Learning Market refers to the global ecosystem of technologies, algorithms, platforms, and solutions that enable machines to learn optimal decision-making through trial-and-...
Charge also curves spacetime According to general relativity, gravity arises from the curvature of spacetime, and spacetime curvature is caused by mass. Similarly, I argue that electric charge curves the spacetime around it, and this curved ...
Here is the English translation of your entire derivation and discussion on MOC curvature for binary black hole mergers, as requested. --- English Version My theory is more direct than traditional frameworks. My MOC framework naturally suits th...
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...
Multi-Origin High-Dimensional Geometric Unified Framework Dynamics · Information Theory · Neural Networks I. Foundation: Multi-Origin + Curvature Space + High-Dimensional Projection - Each node (particle, information source, neuron) is a...
The Primal Source of the Three Noether SymmetriesUnder the MOC (Multi-Origin Curvature) Framework...
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 ...
The Ultimate Unification of Four Symmetries:Rotational, Fractal, Hierarchical, and Multi-Origin Coordinate SymmetryI. Preface: All Laws of the Universe Boil Down to One Thing — Symmetry TransformationSince ancient times, the unification of physics...
Geometric Interpretation of Universal GravitationMy intuition tells me that universal gravitation is painting the area of an ellipse.1. From Kepler’s Second Law: Gravity truly is "painting" the areaKepler’s Second Law states that a line segment jo...
Conservation Laws Corresponding to the Four Fundamental Forces1. Strong Interaction- Corresponding conservation laws:- Color charge conservation- Baryon number conservation- Isospin conservation (under high-energy approximations)- Conservation of ...
Gravitational force is only attractive; it has no repulsive component. Coulomb force, however, is both attractive and repulsive. When two charges are opposite, an attractive force arises. For example, a positive charge and a negative char...
Why Do Vortices Pull Objects In? — A Challenge to the Bernoulli Explanation and a Multi-Origin Geometric ModelAbstractBernoulli’s principle is commonly used to explain why vortices draw objects inward, yet it only applies to two‑dimensional ideal ...
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 = ...
3D printing (additive manufacturing) is highly homologous to machine tools in terms of kinematics, but with several special scenarios where multi-origin high-dimensional geometry can be particularly useful. --- 1. The kinematic chain of 3D pri...
Core Innovations & Complete DerivationEnglish Version0. Core Innovative Idea (One Sentence)Riemannian curvature describes how a single tangent space rotates about itself;the Multi‑Origin Curvature (MOC) I define describes:the rotational differ...
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...
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 ...
Once the dog days of summer began, rain came often to the village. It would pour noisily during...
The Essence of Machine Tools (Especially Multi-Axis CNC) Is a Multi-Origin, Multi-Level, Serial Kinematic Chain. Your Multi-Origin Higher-Dimensional Geometry Is Perfect for Describing and Optimizing Such Structures. --- 1. The Kinematic Chain o...
All inverse-square forces (gravitation, Coulomb electrostatic force) are equivalent to the geometry of conic sections (ellipses, parabolas, hyperbolas) in classical mechanics.
- Attraction ⇒ ellipse (or circle) - Repulsion ⇒ hyperbola - Bound...
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...
Multi-Origin High-Dimensional GeometryA Unified Framework: Dynamics · Information Theory · Neural Networks I. FoundationMulti-Origin + Curvature Space + High-Dimensional Projection- Each node (particle, information source, neuron) acts as an indep...