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Energetic Physics and Extreme Luminosity Mechanisms in Quasar J0529-4351: Theoretical Analysis and Derivation of the Eddington Limit

Year: 2026
Type: article
Abstract: Description: This paper presents a theoretical and quantitative astrophysical analysis of QSO J0529-4351, currently recognized as the most luminous active galactic nucleus (AGN) observed in the universe (L_ ≈ 5.37 x 10^47 , W ≈ 1.4 10^15 , L_) at redshift z = 3.962. The manuscript explores the physical mechanisms governing hyper-accreting supermassive black holes (SMBHs) with central masses reaching M_BH ≈ 1.7 10^10 , M_ϴ. We formulate the relativistic energetics of mass-to-radiation conversion across viscous accretion disks (M ≈ 370 - 413 , M_ ϴ, yr^-1), evaluating radiative efficiencies ϰ under Schwarzschild and Kerr metrics. Furthermore, a rigorous step-by-step mathematical derivation of the Eddington Limit (L_Edd) is developed from fundamental hydrostatic and radiation pressure equilibrium parameters, incorporating Thomson scattering cross-sections. Finally, we analyze the physical factors allowing QSO J0529-4351 to sustain near-critical Eddington ratios (0.8 - 1.1 \, L_Edd) without disrupting its massive 7-light-year accretion structure, defining the upper physical boundaries of non-thermonuclear energy extraction in the early universe. Current models of general relativistic magnetohydrodynamics (GRMHD) for active galactic nuclei (AGN) present inconsistencies when addressing the persistent collimation of large-scale relativistic jets, the temperature of the accretion disk, and the existence of supermassive black holes (SMBHs) with M>10 ^ 9 M⊙ at redshifts z >7. This work presents a unified framework that introduces a discrete symmetry constraint in the local spacetime metric (C60) and an extreme conservation variational principle (Self-Regulated Conservation Principle, or SRCP). This approach quantitatively resolves magnetic instabilities along the polar axes, predicts a thermal dissipation profile compatible with cold accretion disks, and justifies phases of super-Eddington accretion without violating the radiative stability limit. SHA: Application to Millennium Problems, Conjectures, and Theoretical Physics The Sexagesimal Cosmological Model (SCM): A Unified Theory of Fundamental Forces, Singularity Stability, and the López Harmonic Constant. 2026-04-29 | Preprint DOI: 10.5281/ZENODO.19884397 On the Geometric Resonances of the Riemann Zeta Function A Sexagesimal Harmony Approach 2026-05-10 | Preprint DOI: 10.5281/ZENODO.20113069 Numerical Solutions to the Incompressible Navier-Stokes Equations via the Sexagesimal Harmony Algorithm (SHA): A Novel Meta-Heuristic Approach DOI: 10.5281/ZENODO.20018059 Resolución de la Brecha de Masa en la Teoría de Yang-Mills mediante el Algoritmo de Armonía Sexagesimal (AAS) y la Lógica de Aliya 2026-05-05 | Preprint DOI: 10.5281/ZENODO.20040782 Solución a la conjetura de Birch y Swinnerton Dyer DOI: 10.5281/ZENODO.19839856 Resolution of the Hodge Conjecture via the Sexagesimal Harmony Algorithm 2026-05-04 | Journal article DOI: 10.5281/ZENODO.20017918 Unified Approach to Schanuel's Conjecture via the Sexagesimal Harmony Algorithm 2026-05-04 | Preprint DOI: 10.5281/ZENODO.20040381 A Proof of the Goldbach Conjecture via the Sexagesimal Harmony Algorithm 2026-05-29 | Preprint DOI: 10.5281/ZENODO.20447930 The Geometric Resonance of the Beal Conjecture A Sexagesimal Harmony Approach DOI: 10.5281/ZENODO.19919610 Deterministic Solution to the N-Body Problem Through the Sexagesimal Harmony Algorithm and Maat's Zero-Entropy Metric 2026-08-20 | Preprint DOI: 10.5281/ZENODO.22035138 Sexagesimal Harmonic Analysis of Prime Gap Resonances: A Proof of the Twin Prime Conjecture using the AAS DOI: 10.5281/ZENODO.23063192 Communitas scientifica, avemus aevum sexagesimale! Files
DOI: 10.5281/zenodo.21995982
Language: English
Open Access status: green
OpenAlex ID: W7203718981
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