A Ceiling on the Magnetic Monopole Mass from the Density Limit, and What It Does to Flux Searches

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 monopole mass at the ceiling runs from 1.743e+11 GeV per c squared at profile factor 0.5 to 6.972e+11 GeV per c squared at factor 2, with the central value 3.486e+11 GeV per c squared, or 6.215e-16 kilograms. Its Compton wavelength is 5.660e-28 metres against a Schwarzschild radius of 9.230e-43 metres, a ratio of 6.132e+14, so the capped monopole is unambiguously a quantum particle, not a gravitational object. Saturating the Parker flux bound at galactic velocities would require a local number density of 4.192e-16 per cubic metre, corresponding to a density parameter of 1.387e-05 if that density were cosmological. The Parker bound is therefore weaker, for this mass, than the cosmological abundance computed from the birth yield, which lies orders of magnitude lower; flux searches would need to improve substantially before they test the abundance this cosmology actually predicts. The calculation is performed from stated assumptions with all arithmetic deposited, and it is a computation, not a measurement.