Global Textures Under a Temperature Ceiling: Spot Amplitude, Unwinding Rate, and a Null Prediction for the Microwave Sky

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. At the ceiling scale the texture amplitude is delta T over T = 2.182e-18, which for a 2.725 kelvin sky is a spot of 5.947e-12 microkelvin. The observed primary fluctuations are of order 10^-5, so the predicted texture signal is a factor 2.182e-13 of the observed level: textures in this cosmology are present in principle and invisible in practice. A horizon-sized texture at the bounce carries gradient energy of about 5.301e+19 GeV, released on unwinding, with an unwinding probability of 4.00e-02 per horizon volume per expansion time imported from published simulations. To produce spots at the observed amplitude, the symmetry scale would need to be 5.446e+15 GeV, roughly a million times the ceiling scale. No adjustment of order-unity factors bridges a gap of that size. The calculation is performed from stated assumptions with all arithmetic deposited, and it is a computation, not a measurement.