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Prime Harmonic Stability Law: A Universal Framework for Planetary Spacing and Orbital Architecture

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Auteur principal:	Brady, Joseph (Jody)
Format:	Recurso digital
Publié:	Zenodo 2025
Sujets:	Prime Harmonic Stability Law Resonant Order Theory of Everything (ROTE) Exoplanet orbital architecture Planetary spacing law Golden ratio cosmology ψ-field coherence Harmonic resonance Planet Nine prediction Atomic-planetary symmetry Noble gas analogy in planetary systems
Accès en ligne:	Acceder al recurso
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_version_	1866901266453495808
author	Brady, Joseph (Jody)
author_facet	Brady, Joseph (Jody)
contents	<p>This paper introduces the <strong>Prime Harmonic Stability Law</strong>, a resonance-based model for planetary system architecture derived from the <strong>Resonant Order Theory of Everything (ROTE)</strong>. By defining a harmonic index <span><span>n=ln⁡(a/Lref)ln⁡φn = \dfrac{\ln(a / L_{\text{ref}})}{\ln \varphi}</span><span><span><span>n</span><span>=</span></span><span><span><span><span><span><span><span>ln</span><span>φ</span><span>ln</span><span>(</span><span>a</span>/<span>L</span><span><span><span><span>ref</span></span></span><span></span></span><span>)</span></span><span></span></span></span></span></span></span></span></span>, where <span><span>φ\varphi</span><span><span><span>φ</span></span></span></span> is the golden ratio, we demonstrate that planetary orbits cluster near prime-numbered harmonic shells, analogous to noble gas stability in atomic systems. Analysis of <strong>11 planetary systems</strong> (Solar System + 10 exoplanet systems) validates this framework, revealing that over 85% of planets reside within <span><span>Δn<1\Delta n < 1</span><span><span><span>Δ</span><span>n</span><span><</span></span><span><span>1</span></span></span></span> of a prime shell. The model predicts the existence of additional outer planets (e.g., Planet Nine at ~142 AU) and offers a unified principle linking atomic and cosmic order. This deterministic approach replaces empirical laws like Titius-Bode with a physically grounded, prime-resonance-based architecture.</p>
format	Recurso digital
id	zenodo_https___doi_org_10_5281_zenodo_16411291
institution	Zenodo
language
publishDate	2025
publisher	Zenodo
record_format	zenodo
spellingShingle	Prime Harmonic Stability Law: A Universal Framework for Planetary Spacing and Orbital Architecture Brady, Joseph (Jody) Prime Harmonic Stability Law Resonant Order Theory of Everything (ROTE) Exoplanet orbital architecture Planetary spacing law Golden ratio cosmology ψ-field coherence Harmonic resonance Planet Nine prediction Atomic-planetary symmetry Noble gas analogy in planetary systems <p>This paper introduces the <strong>Prime Harmonic Stability Law</strong>, a resonance-based model for planetary system architecture derived from the <strong>Resonant Order Theory of Everything (ROTE)</strong>. By defining a harmonic index <span><span>n=ln⁡(a/Lref)ln⁡φn = \dfrac{\ln(a / L_{\text{ref}})}{\ln \varphi}</span><span><span><span>n</span><span>=</span></span><span><span><span><span><span><span><span>ln</span><span>φ</span><span>ln</span><span>(</span><span>a</span>/<span>L</span><span><span><span><span>ref</span></span></span><span></span></span><span>)</span></span><span></span></span></span></span></span></span></span></span>, where <span><span>φ\varphi</span><span><span><span>φ</span></span></span></span> is the golden ratio, we demonstrate that planetary orbits cluster near prime-numbered harmonic shells, analogous to noble gas stability in atomic systems. Analysis of <strong>11 planetary systems</strong> (Solar System + 10 exoplanet systems) validates this framework, revealing that over 85% of planets reside within <span><span>Δn<1\Delta n < 1</span><span><span><span>Δ</span><span>n</span><span><</span></span><span><span>1</span></span></span></span> of a prime shell. The model predicts the existence of additional outer planets (e.g., Planet Nine at ~142 AU) and offers a unified principle linking atomic and cosmic order. This deterministic approach replaces empirical laws like Titius-Bode with a physically grounded, prime-resonance-based architecture.</p>
title	Prime Harmonic Stability Law: A Universal Framework for Planetary Spacing and Orbital Architecture
topic	Prime Harmonic Stability Law Resonant Order Theory of Everything (ROTE) Exoplanet orbital architecture Planetary spacing law Golden ratio cosmology ψ-field coherence Harmonic resonance Planet Nine prediction Atomic-planetary symmetry Noble gas analogy in planetary systems
url	https://doi.org/10.5281/zenodo.16411291