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| Format: | Recurso digital |
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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.17296212 |
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Table of Contents:
- <p dir="ltr">Versioned Update (CAT-12 Standard v1.0; PTR v1.2) as of 10/7/2025</p> <p dir="ltr">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.</p> <ul> <li> <p dir="ltr">Did conclusions change? No—only reporting/uncertainty language.<br><br></p> </li> <li> <p dir="ltr">Where’s the new standard? See the Cross-Domain Ratio Lattice paper.<br><br></p> </li> <li> <p dir="ltr">Will you update the PDF? A minor v1.1 with a 1-page front note (and Tu where needed) is planned.</p> </li> </ul> <p>This paper applies the <strong>Cosmic Algorithm Theory-12 (CAT-12)</strong> framework to the black hole system <strong>GRS 1915+105</strong>, one of the most data-rich and dynamically variable stellar-mass black holes known. Using nearly three decades of X-ray observations (RXTE, NICER, AstroSat, Insight-HXMT), we analyze quasi-periodic oscillations (QPOs) ranging from low-frequency Type C to high-frequency modes near 67 Hz. By normalizing frequencies to the black hole’s gravitational scale and mapping them to <strong>resonance corridors</strong> derived from small-integer ratios, we calculate a <strong>Resonant Precision Index (RPI)</strong> of 72–78 %. Statistical testing (χ², KS, bootstrap) rejects random placement, supporting resonance structuring as a fundamental organizing principle.</p> <p> </p> <p>GRS 1915+105 demonstrates that even under <strong>extreme state variability</strong>, resonance universality holds: oscillations align with the <strong>Universal Resonant Scaling Law (URSL)</strong>, quality factors sharpen with frequency in accordance with the <strong>Law of Dynamic Precision</strong>, and residuals remain statistically consistent across mass scales. Comparative analysis with GX 339–4, Cygnus X-1, Sgr A*, and M87* confirms proportional invariance across eight orders of magnitude in mass.</p> <p> </p> <p>This study integrates <strong>AI–human hybridization</strong> for data analysis and theoretical synthesis, showing how computational precision and human interpretive insight can together reveal deep harmonic structures in astrophysical systems. GRS 1915+105 thus serves as both a <strong>resonant laboratory </strong>and a stress test of CAT-12’s predictive power in turbulent regimes.</p>