yang liu

Mathematical Derivation and Standardized Empirical Verification System for Atomic Orbits

This paper presents a self‑consistent mathematical derivation and standardized empirical verification system for atomic orbitals, built upon first‑principles geometric postulates of the vacuum quantum medium. A fourth‑power scaling relation is rigorously derived from four‑dimensi...

Mathematical Derivation and Standardized Empirical Verification System for Atomic Orbits

This paper presents a self‑consistent mathematical derivation and standardized empirical verification system for atomic orbitals, built upon first‑principles geometric postulates of the vacuum quantum medium. A fourth‑power scaling relation is rigorously derived from four‑dimensi...

Mechanical Model of Vacuum Quantum Medium and Theoretical Derivation of the Speed of Light in Vacuum

This paper constructs a novel mechanical model for discrete vacuum quantum medium to resolve the microscopic physical origin of the fixed vacuum speed of light. Without presetting the speed of light as a fundamental constant throughout the whole derivation, we establish analytica...

Derivation of Newtonian Gravitational Constant from First‑Principles within Discrete Vacuum‑Medium Self‑Consistent Mechanical Model

In existing physical frameworks, the Newtonian gravitational constant G is treated as an independent fundamental constant. High‑precision laboratory measurements of G exhibit persistent systematic scatter which lacks a unified microscopic interpretation. Based on the complete set...

Derivation of Newtonian Gravitational Constant from First‑Principles within Discrete Vacuum‑Medium Self‑Consistent Mechanical Model

In existing physical frameworks, the Newtonian gravitational constant G is treated as an independent fundamental constant. High‑precision laboratory measurements of G exhibit persistent systematic scatter which lacks a unified microscopic interpretation. Based on the complete set...