After the Bounce, Before Freeze-Out: How Much Monopole-Antimonopole Annihilation Further Reduces the Relic Abundance

This paper computes a consequence of the torsion-regulated bounce for topological defects, using the density ceiling of 9.718e+54 grams per cubic centimetre and the maximum temperature of 3.278e+22 kelvin that follows from it. The birth yield, recomputed on the same inputs as the abundance analysis, is Y = 3.423e-31. The magnetic coupling is alpha_m = 3.426e+01, the velocity-averaged annihilation cross-section is 1.127e-43 cubic metres per second, and the annihilation strength at formation is A = 2.273e-21. The residual yield under the stated interpolation is 3.423e-31, a reduction factor of 1.000e+00 relative to birth, giving a present density parameter of 3.275e-11. Annihilation, on these numbers, is a correction, not a rescue: the encounters at the bounce-era density and temperature are too infrequent, against the ceiling expansion rate, to erase a large share of the population. The smallness of the final abundance rests where the earlier analysis placed it, on the low birth yield at a finite maximum temperature, and annihilation neither earns nor needs the credit. The calculation is performed from stated assumptions with all arithmetic deposited, and it is a computation, not a measurement.