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 N_dot_DM = (l_Pl^2*c/4pi)*J(a/M) is exactly independent of black hole mass — r_g cancels analytically; (iii) integration over a primordial Kerr population with <a/M>=0.9 yields Omega_DM = 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 gamma_sp in [2.29, 2.97]; (d) a saturation model gamma_sp = gamma_inf-(gamma_inf-gamma_0)*exp(-beta*J(a/M)) with robust prediction gamma_sp >> 1.85 for a/M > 0.43.