The Cost of Leaving Equipartition: How Total Lobe Energy Grows When the Field Departs from Its Minimum

This paper addresses a single accounting question in the physics of relativistic jets: by how much the total energy of a synchrotron source inflates if its magnetic field is not at the energy-minimising value, as direct field measurements increasingly suggest for some sources. Using field departures from three hundredths to thirty times the equipartition value, 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: penalty at 0p1 = 15.8, penalty at 10 = 50, penalty at 0p3 = 3.09. The penalty is strongly asymmetric in consequence even though the curve looks symmetric on a logarithmic plot. 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.