OS System / ε-Model — Chapter 34 -- Structural Closure Across Planetary Hierarchy

WARNING : bad format for reading

This chapter presents a complete structural closure of planetary-scale relations using a single invariant relation:

ε = v² / (r · S)

All calculations are performed strictly within projection using observed values, while preserving structural invariance across hierarchy levels.

The work demonstrates that:

• Planetary systems maintain a constant equilibrium ratio ε ≈ 0.50
• Structural parameter S can be derived directly from observed v and r
• Rescaling of r automatically enforces inverse rescaling of S
• Numerical closure is achieved without introducing additional constants

The chapter provides full step-by-step calculations, ensuring that:

• Every transformation preserves ε
• No scale mixing occurs
• All results close numerically

This document is part of a continuous structural calculation record and contains no interpretative or theoretical claims, only verified numeric closures.