OS System / ε-Model — Universe OS: Comprehensive Synthesis of the Unified Informational, Geometric and Scaling Architecture , Gravity , 137.035 (Part 6)

Abstract

This document formalizes the Universe OS analytical framework—a unified informational, geometric, and scaling model proposing that fundamental physical constants (such as the speed of light c, fine-structure constant α−1≈137.036, and gravitational parameters), planetary dimensions, orbital kinematics, and temporal metrics form an integrated, scale-invariant computational architecture rather than isolated phenomena. Key Theoretical Premise & Highlights: Dimensional & Scale Invariance: Standard physical measurement units self-cancel into pure dimensionless geometric scale factors across micro (Bohr radius a0), macro (Earth-Sun/Lunar systems), and cosmological boundaries (~13.88 billion years projection horizon). Master Scaling Operators: Formal derivations of harmonic scale invariants (κ≈1.20083, Φsystem≈3.6000, Λ2≈109.15) linking light propagation delay, sexagesimal grid locking (3600 s module), and planetary orbital velocities (vorbit≈29.78 km/s). Closed-Loop System Dynamics: Mathematical elimination of local terrestrial variables proving that local space, rotational spin, and time metrics act as a balanced identity operator (Ilocal≈1.00) preserving system coherence. Holographic Observer & Matrix Equilibrium: Proposes an observer-centric reference grid where fundamental parameters are locked to maintain real-time frame-rate equilibrium across macro and micro physical domains.