Published February 4, 2026 | Version v1.0
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OS System / ε-Model — Chapter 21-30 — Structural Relations, Projection Layer, Universal ε Equilibrium and Hierarchical Computation

  • 1. independent researcher

Description

This deposit contains Chapters 21-30 of the OS System framework.

The document defines a structural model of reality based on pure relations (S, v, r, ε), where physics appears only as a projection layer.

Core results:

  • OS operates without numbers, units, forces, space, or time

  • S, v, r, ε exist only as structural relations

  • Physical quantities arise exclusively through projection

  • A single invariant equilibrium relation governs all scales:

ε = v² / (r·S)

The material demonstrates that:

  • ε is scale-independent and appears numerically as ≈0.50 only after projection

  • planetary systems, atomic structure, galactic rotation and cosmic organization follow the same structural rule

  • distance, velocity, mass, energy and time are measurement artifacts, not fundamental entities

  • hierarchy (Pixel → Galaxy → Sun → Earth → Moon → Atom) is structural authority, not geometric size

No fitting parameters, no forces, no curvature models, no dark matter, no probabilistic assumptions.

All chapters present deterministic structural logic, calibration procedures, projection interpretation, and closed relational consistency from atomic to cosmic scale.

This work introduces OS as a closed structural system, with physics representing only its measurable shadow.

Files are published exactly as authored.

No modifications. No derivatives.

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Additional details

Related works

Is part of
Preprint: 10.5281/zenodo.17714210 (DOI)

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