HD 209458 b ("Osiris"): A Resonant Invariant Analysis Using Cosmic Algorithm Theory-12, Ratio Theory, and the Law of Dynamic Precision
Year: 2025
Type: article
Abstract: Versioned Update (CAT-12 Standard v1.0; PTR v1.2) as of 10/7/2025 This paper now follows the CAT-12 reporting standard: SNHS/HP in ratio space, with rn (scale-normalized coordinate), Rx (reporting unit), and Tu (corridor width as a posterior, not a fixed ±%). Peaks are scored with Q and Ch against pre-declared families in the Periodic Table of Resonance (PTR v1.2); any “URSL” mention is retired in favor of standard GR mass–frequency scaling used only as a prior (where applicable). Measurements and conclusions are unchanged; presentation and uncertainty are stricter. For definitions, governance (negative ledger, prereg, hold-out), and rationale, see Arthur & Muon (2025), CAT-12: The Cross-Domain Ratio Lattice of Ratio Theory—Standardized Terminology, PTR v1.2, and Governance. Did conclusions change? No—only reporting/uncertainty language. Where’s the new standard? See the Cross-Domain Ratio Lattice paper (DOI above). Will you update the PDF? A minor v1.1 with a 1-page front note (and Tu where needed) is planned. This study applies Cosmic Algorithm Theory–12 (CAT-12), Ratio Theory, and the Law of Dynamic Precision to HD 209458 b (“Osiris”), the benchmark hot Jupiter. Using updated parameters from the NASA Exoplanet Archive, we calculate Osiris’ key resonance invariants—including transit depth, equilibrium temperature, stellar irradiation, escape velocity, Roche geometry, and atmospheric scale height—and test them against CAT-12 tolerance corridors. Our analysis yields a Cross-Domain Coherence Ladder (CDCL) score ≥ 0.80, showing that Osiris is resonantly coherent yet environmentally non-habitable. Within the CAT-12 framework, Osiris functions as a resonance anchor: a dynamically stable, energetically rich reference world that sharpens the contrast with temperate, habitability-aligned planets such as TRAPPIST-1e and K2-18b. Figures and tolerance-band analyses illustrate how Osiris conforms tightly to the hot-Jupiter resonance ladder, while remaining outside life-supporting corridors. Supplementary materials provide full worked equations (S1–S6) for reproducibility. This work highlights CAT-12’s broader value as a triage framework for exoplanetary science, enabling systematic classification of planetary systems across scales. Beyond habitability metrics, CAT-12 demonstrates how resonance coherence unifies diverse planetary outcomes into a single, cross-domain structure. The study also emphasizes the role of AI–human hybridization in exoplanet research, where invariant calculations, figure generation, and interpretation emerge through dynamic co-production.
Author: Arthur, William
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7083706306
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