A Physical Intuition Framework: Geometric Fundamentals Governing Quantum Phenomena This text does not seek to replace or negate the computational systems and experimental findings of established quantum mechanics, nor does it claim to have ach...
The Planckian Homunculus – A Different Kind of Observation If we could shrink ourselves down to the Planck scale – that extreme microscopic world where space is as small as 10^{-35} meters and time as short as 10^{-43} seconds – and become, so to...
The Time Perspective of the Planck Tiny ManThe Planck Tiny Man is tiny not only in spatial scale but also in temporal scale, operating at 10⁻⁴³ seconds. At this scale, “quantum superposition” vanishes from its view: an electron does not pass throu...
The Intuitive Unification of Macroscopic and Microscopic Curvature Spacetime curves. Fields also curve. For a long time, physics has treated the curvature of macroscopic spacetime and the intrinsic curvature of microscopic fields as two separate...
I. Difference Is Potential, Which Is EnergyAt the fundamental structure of the physical world, difference itself corresponds to a potential field, and potential field is directly equivalent to energy. This relation should not be regarded as a man-...
I believe magnetic monopoles do not exist. The reasoning is as follows:
Maxwell's equations in vacuum indeed possess an electric–magnetic dual symmetry (E → B, B → –E). However, once electric charges are introduced as sources, this symmetry is ...
Once the dog days of summer began, rain came often to the village. It would pour noisily during...
The early summer sun wasn't yet high in the sky, but it had already baked the village dirt roads...
Since the beginning of systematic observations of natural motions, “force” has always been the core concept used to explain all changes in the world. From the movement of celestial bodies to the falling of objects, from electromagnetic induction t...
Unification of Curvature and Angular Momentum – A Reconstruction of the Geometric Origin of Physical Motion in the Multi‑Origin Geometry (MOC) Framework
I. Core Thesis: The Two Are One – Differing Only by Scale Normalization, with No Essential ...
Using “recursive assembly of continued‑fraction fractals” to generate and understand the distribution of prime numbers. · Regular integer blocks, recursively assembled· Reciprocal iteration corresponds to scale transformation· The entire structur...
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...
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...
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...
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...
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...
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 ...
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...
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...
Complete Logical Chain in One Go:
From Abelian Group / Galois Group → Elliptic Function → Origin of Real and Imaginary → Hierarchical Unification of the Four Forces
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I. Placing the Two Groups in Your “Symmetry Evolution Theory”
1) A...
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...
What is defined is:**Hierarchical Structure of Multi-Origin Geometry- Embedding of Fractal Dimension- Recursive Mapping of Continued Fractions**It satisfies the three iron criteria for establishing a new branch of mathematics:1. Independent fundam...
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...
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...
By the same logic, Coulomb attraction also traces out elliptical areas. Coulomb attraction (electrostatic attraction) is mathematically isomorphic to universal gravitation as an inverse‑square force:
F = k \frac{q_1 q_2}{r^2} \quad (\tex...
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...
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...
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 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...
