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OS System / ε-Model — Chapter 35 -- Extended Structural Consistency Across Hierarchical Scales

Authors: Kazlauskas, Danijus;

OS System / ε-Model — Chapter 35 -- Extended Structural Consistency Across Hierarchical Scales

Abstract

This chapter extends the structural calculation framework to a broader hierarchical range, demonstrating that the same invariant relation: ε = v² / (r · S) remains consistent across multiple scales without modification. The work confirms that: The same proportional balance is preserved across different hierarchical levels Structural parameter S adapts strictly through scaling relations No additional constants or corrections are required All results close numerically under consistent projection conditions The chapter includes full calculation sequences ensuring: Step-by-step numeric traceability Strict scale alignment (no unit mixing) Complete closure of ε across all evaluated cases This document is a continuation of the structural calculation record, providing further verification of invariant behavior across extended systems.

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