The History on an Evolving Mass: Paper #107's Back-Reaction Requirement, Priced to Its Self-Consistency Core

Works item D-081-120-74, paper #107's back-reaction requirement, clause by clause, gated on #107's Sec.3 exhibits recomputed digit-for-digit from its stated formulas (T_H = 6.17e-08 K, 90.632 e-folds, u_cross = 1.7857e-03 s, t_evap = 6.6138e74 s, both breakdown masses). The evaporation history is computed on the evolving mass in closed form, M(t)^3 = M0^3 (1 - t/t_evap), with every Sec.3 quantity re-evaluated by epoch; the endpoint treatment orders the breakdowns: the per-quantum fraction reaches 1 first, at 4.3414e-09 kg with about 128 Planck times remaining, and T_H reaches T_P only later, at 8.6598e-10 kg with about one Planck time remaining; the ancestry verdict is history-stable. The self-consistency core is not produced: the history solves energy balance, not G_ab = 8 pi G , and no four-dimensional self-consistent solution exists in the world's record either (CGHS/RST are two-dimensional). Item strengthened, not closed. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.