Dark Matter and Dark EnergyI. Dark MatterDark matter is a special form of matter that exists widely in the universe but cannot be directly observed. It is a key component of cosmic structure.Its most essential characteristic is that it has no elec...
What Is Engine Detailing, Really? Engine detailing is the careful cleaning, degreasing, and dressing of the engine bay and its components. Done correctly, it removes built-up dirt, oil residue, and debris without harming sensitive parts like elec...
Supplement I: Explicit Construction of \Omega_i (Curvature Coupling Coefficient)The coefficient \Omega_i was undefined in the original formulas; we now provide a minimal viable definition intrinsically linked to the geometry of \mathbb{M}^n_k.Let ...
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 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...
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...
AI Voice Agents are transforming modern sales by enabling instant, consistent, and scalable customer interactions. Platforms like Aisa-X automate lead engagement, qualification, and follow-ups through human-like conversations, ensuring no opportun...
Geometric Equivalence of Frequency Gradient and Force: Extension of the MOC-MIE Axiomatic System and Implications for Unification of Weak InteractionAuthor: Suhang ZhangLuoyangAbstractBased on the author’s previously established axiomatic system o...
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...
The Primal Source of the Three Noether SymmetriesUnder the MOC (Multi-Origin Curvature) Framework...
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...
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-...
MOC: A Unified Curvature Framework with Multiple Origins as a Generalization of Hilbert Space Abstract The Hilbert space has long served as the foundational mathematical structure for harmonic analysis, functional analysis, signal processi...
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 = ...
The Decisive Influence of Gravity on the Evolution of Animal Body Size and Physiology In the natural world, the evolution of animal body size and species distribution is often attributed to climate, food availability, and competition. But the hid...
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 ...
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...
Relativity and quantum mechanics each have their own domains of application.In my view, relativity is better suited to explaining the behavior of macroscopic objects and celestial bodies, while quantum mechanics is more appropriate for describing ...
Once the dog days of summer began, rain came often to the village. It would pour noisily during...
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...
Author: Zhang Suhang, Luoyang Part I (Corresponding to 3.1): Axiomatic Constraint – Maximum Information Efficiency (MIE) in the Collatz System Axiomatic Reconstruction of the Collatz Conjecture (I): The Maximum Information Efficiency Axiom as...
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...
Application of MOC Multi-Origin High-Dimensional Geometry in Thermal Infrared Imaging Abstract: Aiming at the common engineering problems in current thermal infrared imaging, such as multi-source thermal interference, atmospheric and optical t...
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...
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 ...
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...
Title: Unification of Classical and Quantum Three Major Statistical Distributions Under the Framework of Multi-Origin Curvature and Maximum Information Efficiency
Authors: Zhang Suhang (Bosley Zhang, ) Independent Researcher in Theoretical an...
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...
Multi-Origin High-Dimensional Geometry and TopologyIn the landscape of classical mathematics, topology is devoted to the study of properties preserved under continuous deformations of space. It concerns connectivity, compactness, genus, parity, an...
--- Unified Derivation of Inverse-Square Interactions under the Geometric Extremum Principle (GEP) Framework Abstract Based on the Geometric Extremum Principle (GEP) and taking spatial curvature as the fundamental field variable, this paper, to...
