SN 1006: A Synchrotron Cutoff Audit of Electron and Proton Energy Ceilings

This paper computes the energy, density and acceleration budgets of SN 1006 from a small set of adopted, published input values, using the relations stated in the Methods and a deposited script that reproduces every number. The Hillas ceiling for the adopted field and size is 1.48e+04 TeV, but the operative proton limit is set by time: the Bohm acceleration time at 1 TeV is 0.845 years, giving an age-limited maximum near 1.2e+03 TeV. Electrons meet their synchrotron loss ceiling at 38.5 TeV, far below the proton limit, so the X-ray cutoff measures the loss-limited electron energy and is silent, by itself, about protons. The calculation is a computation from stated assumptions, not a measurement, and each headline result is reported together with the diagnostic that tests whether the assumed evolutionary phase applies to this object.