Torque Variability Budgets in Magnetars: Extra Rotational Energy Losses During Published Spin-Down Enhancements

Magnetar braking is not steady. Around outbursts several sources have shown spin-down rates enhanced by factors of a few for months at a time. Each enhancement is extra rotational energy leaving the star, and integrating the excess power over the stated duration converts torque variability from a timing curiosity into an energy budget. Working from published values for the sources concerned, this paper computes the relevant quantities under one stated set of conventions and compares them source by source. Headline results: largest enhancement factor 2.67; largest extra loss source PSR J1846-0258; largest extra loss erg 1.7e+43; largest implied B change factor 1.63. The comparisons are budget statements: they establish whether the energies, stresses, powers and timescales involved are mutually consistent, and by what margin. Every number quoted is produced by the deposited compute.py script from the stated inputs, and the full per-source record is deposited as results.json alongside the text.