⚡ Radiative Efficiency & Kerr Spin
When matter falls into a non-spinning Schwarzschild black hole, the Innermost Stable Circular Orbit (ISCO) occurs at 6 rg, yielding a maximum radiative efficiency η ≈ 5.7%. For a ultra-fast spinning Kerr black hole (a* = 0.998), frame-dragging contracts the ISCO down to ~1.24 rg, boosting radiative efficiency to η ≈ 32.0%.
🌊 Super-Eddington Accretion & Trapping
Standard thin accretion disks break down when gas inflow exceeds the classical Eddington limit (Ṁ/ṀEdd > 1). At super-critical inflow rates, the disk inflates into a thick geometry where photon trapping advects high radiation energy into the event horizon, leading to logarithmic luminosity scaling.
🎯 Polar Beaming & 570-Billion Sun Output
Anisotropic radiation pressure creates a narrow polar channel through which high-energy photons escape. The polar beaming factor (b) focuses light along the viewer line-of-sight, enabling apparent brightness to reach 570 billion times the Sun—shining 20 times brighter than all stars in the Milky Way combined.