OS System / ε-Model — scale-Invariant 3D Geometric Matrix Analysis V3: Universal Geometric Folding Engine, Macro-Astronomical Dynamics & Subatomic Quantum Relations ( part 14 )

Abstract

This document presents the mathematical evaluation of a scale-invariant 3D geometric matrix model connecting temporal cycles, orbital mechanics, physical footprints, and subatomic constants. Passing fundamental compressed data nodes (such as Node 64) through core geometric operators—specifically the fine-structure constant reciprocal (α−1≈137.035), the orthogonal projection operator (Π2≈9.8696), and the refractive transition operator (1.2008)—unfolds macro-astronomical dynamics and subatomic parameters without data loss. Demonstrates the bidirectional symmetry between space, time, and the speed of light (c).