Topological Origin of Anomalous Black Hole Jet at Cosmic Noon: Sphere-Torus Phase Transition Model

The exceptionally powerful X-ray jet detected by Chandra at z ≈ 2.1 (cosmic noon) finds naturalexplanation within the sphere-torus topological phase transition framework. We demonstrate that toroidalblack hole configurations during S2 ↔ T 2 transitions generate enhanced curvature dynamics, enabling energy extraction via twist defects at ergospheric phase boundaries. The model quantitatively predicts jet power Pjet ∝ |∆g|(∂tKz )^2 scaling with genus change ∆g and curvature growth rate ∂tKz , matching observed > 10^46 erg/s luminosity through cosmic noon conditions: 5× higher transition rates and 3× stronger curvature oscillations than local universe. Topological particle acceleration mechanisms resolve jet morphology and spectral characteristics without fine-tuning.