Jet Power Against the Eddington Limit: A Budget for Six Well-Measured Radio Galaxies and Quasars

This paper addresses a single accounting question in the physics of relativistic jets: whether the kinetic power carried by a relativistic jet can exceed, approach, or must remain far below the Eddington luminosity of the black hole that launches it. Using published black-hole masses and jet-power estimates for M87, Cygnus A, 3C 273, Hercules A, Centaurus A and 3C 120, the calculation derives new bounds and budgets from standard synchrotron and special-relativistic relations, with every number produced by the deposited compute script. The headline results are: max ratio = 0.0896, max source = 3C 273, min ratio = 0.000122. M87: 0.000122, Cygnus A: 0.0317, 3C 273: 0.0896, Hercules A: 0.0159, Centaurus A: 0.00144, 3C 120: 0.0144. The ratios separate the sample cleanly. The study is a computation from stated assumptions and published inputs; it is simulated, not measured, and its conclusions are stated at the precision those inputs support.