Stellar-Mass Jets at Full Stretch: Kinetic Power in Microquasars Against Their Own Eddington Limit

This paper addresses a single accounting question in the physics of relativistic jets: whether the jets of stellar-mass black holes, scaled by their own Eddington limits, reach the same extreme states as the jets of supermassive black holes, or occupy a different regime altogether. Using published masses, jet powers and flow speeds for SS 433, GRS 1915+105, Cygnus X-1 and GX 339-4, 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 = 19.8. SS 433: 7.94, GRS 1915+105: 19.8, Cygnus X-1: 0.00529, GX 339-4: 0.0992. SS 433 channels of order a tenth of its Eddington luminosity into a slow, heavy jet whose implied mass flux is enormous by X-ray binary standards, while the fast, light jets of the other systems carry smaller Eddington fractions despite far higher speeds. 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.