Black Holes as Continuous Producers of Dark Matter through Asymmetric Antimatter Conversion: Further Developments on Topological Ergosphere Structure and Cosmological Integration

This paper presents further developments on the hypothesis of Vivino 7 that rotating black holes produce dark matter through asymmetric antimatter conversion in the ergosphere. Three analytical results are established: (i) the Kerr ergosphere introduces a local modification delta- theta (r, a) of the global gravitational theta-sector (Alexander, Bernardo and Hui 1, CSK framework), generating a topological boundary Hall current; (ii) the production rate NdotDM = (lPl²*c/4pi) *J (a/M) is exactly independent of black hole mass — rg cancels analytically; (iii) integration over a primordial Kerr population with =0. 9 yields OmegaDM = e/10 = 0. 2718, consistent with Planck 2018 (0. 2718+/-0. 0020). This version adds: (a) a semi-analytical derivation of the J (a/M) exponent — n=3 exactly in the slow-rotation limit, n=3. 42+/-0. 12 numerically, correcting the earlier value 3. 84 (30x30 grid artifact) ; (b) GRS 1915+105 (LMXB, a/M=0. 980) and MAXI J1820+070 (LMXB, a/M=0. 799, d=3 kpc) as priority falsifiable predictions; (c) Nova Muscae 1991 (LMXB, a/M=0. 63+/-0. 16/-0. 19, P=10. 4h) as the most compelling near-term test — its anomalous orbital decay is confirmed and its spin is above the threshold a/M~0. 43, predicting gammaₛp in 2. 29, 2. 97; (d) a saturation model gammaₛp = gammaᵢnf- (gammaᵢnf-gamma₀) *exp (-beta*J (a/M) ) with robust prediction gammaₛp >> 1. 85 for a/M > 0. 43.