Collimated Escaping Vortical Polar e^–e⁺ Jets Intrinsically Produced by Rotating Black Holes and Penrose Processes

In this paper, I present results from theoretical and numerical (Monte Carlo) N-particle fully relativistic four-dimensional analysis of Penrose scattering processes (Compton and γγ⟶e^-e⁺) in the ergosphere of a supermassive or stellar mass Kerr (rotating) black hole. Specifically, the escape conditions and the escaping orbits of the Penrose pair production (γγ⟶e^-e⁺) electrons are analyzed, revealing that these particles escape along collimated, jet geodesic trajectories encircling the polar axis. Such collimated, vortical, tightly wound, coil-like trajectories of relativistic particles are inherent properties of rotating black holes. The helical polar angles of escape for these e^-e⁺ pairs range from ~40° to ~05 (for the highest energy particles). These jet distributions appear to be consistent with the astrophysical jets of active galactic nuclei (AGNs) and galactic black holes and suggest a mechanism for precollimation within the inner radius of the dynamically stable accretion disk.