Liu E’zi always went to the town market only on the fifth and tenth days of each lunar month. On...

The early summer sun wasn't yet high in the sky, but it had already baked the village dirt roads...

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. The Second Law of Thermodynamics
 
Heat can only spontaneously flow from a hotter object to a colder one, and cannot spontaneously flow from a colder object to a hotter one.
 
2. The Principle of Air Conditioning
 
In winter, an air condi...

One of the most important areas to focus on when bringing a classic car back to life or maintaining one is its braking performance. Plymouth Valiant Master Cylinder is one of essential part in all classic braking systems. For most, a crucial littl...

Applications of MOC Multi-Origin High-Dimensional Geometry in Earth–Moon Satellite Networking1. Pain PointsAt a distance of 380,000 kilometers, the Earth–Moon system contains multiple gravitational centers, including the Earth, the Moon, and the L...

MOC Differential Geometry · Trinity of Applied Mathematics
Analysis · Optimization · Learning — Three Scales of the Same Thing
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I. Traditional Perspective: Three Disciplines Separate, Each Fighting Alone
In the traditional system of applied...

Formal Paradigm of Unified Geometric Extremal Physics
 
1. Abstract Definition of the Paradigm
 
Definition (Unified Geometric Extremal Paradigm)
 
A geometric extremal problem is said to admit a unified physical–geometric paradigm if there ...

The Primal Source of the Three Noether SymmetriesUnder the MOC (Multi-Origin Curvature) Framework...

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 ...

Electromagnetism is an important indicator of the energy level of matter, as well as the core criterion for its observability, interactability, and structurability. Dark matter and dark energy have low energy levels and possess no electromagnetic ...

Quantitative Orbital Calculation Capability of the MOC System: From Topological Criterion to Algebraic MappingAuthor: Zhang Suhang (Luoyang)AbstractBased on the axiomatic framework of the MOC system (curvature vector conservation + ECS coupling eq...

2. Change Formula\dot\kappa_I = \mathcal F_I(\dots)One sentence:How things change, move, and are acted upon by forces is entirely determined by their interactions.- Universal Gravitation Formula- Coulomb's Law- Ohm's Law I=U/R- Kinematic equations...

Dimensionality Reduction as Flow Allocation: The Engineering Essence of Point Set Flattening
 
Within the framework of Multiple Origin Curvature (MOC), the continuous transition from three dimensions to two dimensions is essentially both a progr...

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,...

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...

Newton’s Bucket Experiment 
 
The Newton’s bucket experiment is a classic thought experiment described by Isaac Newton in 1689. By observing the shape of the rotating water surface, Newton argued for the existence of absolute space. This experim...

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...

Why can some physical laws be generalized to mathematics? Because both physics and mathematics are mappings of the objective world onto two different domains.

I even feel that physics is the transition of the objective world's mapping into math...

Multi-Origin Curvature (MOC): A Geometric Interpretation of Mass Transfer and Thermo-Hydrodynamic Coupling in Packed Towers
 
— Three Longstanding Engineering Pain Points
 
Abstract
The mass transfer and reaction thermal effects in packed tow...

On Innovation Capacity and the Ineliminability of Process
Some people imagine: using gene editing to create a child, then inputting Einstein’s consciousness into that child, and the child will become Einstein.
This fantasy overlooks a most funda...

Geometry as Protocol: Multi-Origin High-Dimensional Geometry and Computer Networking
Computer networking, for all its apparent glory, has shown clear signs of fatigue.
TCP/IP has reigned for half a century. Routing protocols endlessly patch them...

Here is the English translation of the MOC Five Axioms, rendered in a style suitable for a formal manifesto or a Meditations on Science equivalent.
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MOC: Multi-Origin High-Dimensional Geometry · Five Axioms
Axiom I: Set Defines Domain
The f...

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 ...

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...

1. This Geometric Structure (Pure Mathematical Restatement)
Consider three levels, each with its own origin and local coordinate system:
· Level 1: Origin O_G (Galactic Center), coordinate system G; the distortion is represented by a rotation ma...

I have long held an intuition: Kepler’s Laws and the Principle of the Lever are subtly connected.Proposed by Archimedes, the Principle of the Lever centers on the equation:Force × Effort Arm = Resistance × Resistance Arm.At its core, it describes ...

Spin angular velocity ∝ spacetime curvature gradient.The above is a possible mathematical formula. Due to my personal limitations, I am unable to calculate the value of k.

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Derivation of the Strong Interaction from the MOC Unified Curvature Equation（UCE）
Author: Zhang Suhang (Bosley Zhang), Luoyang
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1. Curvature Degrees of Freedom for the Strong Interaction
The total curvature scalar K in MOC is decompose...