Resolving the Early Supermassive Black Hole Growth Anomaly via Vibrational Field Catalysis

Recent observations of extreme super-Eddington accretion in high-redshift quasars challenge the ΛCDM cosmological model. The quasar eFEDS J084222.9+001000 (z = 3.4351), observed with the Subaru Telescope (Obuchi et al., 2026), exhibits an accretion rate exceeding the Eddington limit by a factor of ~13, equivalent to ~125 M☉/yr for a black hole mass of (4.40 ± 0.72) × 10⁸ M☉. Standard baryonic accretion models predict only ~9.72 M☉/yr, yielding a 92.2% relative error. We apply the Unified Vibrational Force Theory (UVFT) to demonstrate that this anomaly naturally arises from vacuum energy extraction via the fundamental scalar field Sh(x,t). The Vibrational Catalysis mechanism allows rotating black holes to extract energy directly from the vibrational vacuum, enabling super-Eddington growth without violating physical principles. With a coupling constant g ≈ 3.4 × 10⁻⁵ (within the theoretically justified range), UVFT predicts the observed growth rate with relative error below 0.1%. We extend this analysis to four additional high-z supermassive black holes spanning z = 3.4–6.5 and masses 10⁷–10¹⁰ M☉, confirming that a consistent coupling constant g explains the observed growth rates across three orders of magnitude in mass.