Two Transitions, No Single Fit: Papers #250 and #251 Assembled — and the Single Fit Refused at Full Size

Assembly of house papers #250 (the sigmoid dark-energy transition, whose location z_a = 0.8 is carried by the frozen Omega_m = 0.3153 and width r = 0.125) and #251 (the kink deceleration transition, whose duration alpha is carried by the assumed plateau q_i = 1/2, |d alpha/d q_i| = 0.44 from the printed table). Both parents are gated digit-for-digit on their printed exhibits before any assembly step. The ordered single fit spending both priced quantities is shown to be undefined on the parents' print for four independent reasons (disjoint parameter spaces intersecting only in H0, different transition objects, different observables, different frozen inputs) and is refused at full size as an honest non-closure. The assembled joint reading is printed instead: the two models locate a transition at 0.8 and 0.823 while splitting its halves oppositely -- in the sigmoid the location is borrowed and H0 survives, in the kink the location is measured and the duration is borrowed -- so in each model exactly one half of the transition is measured and the other is spent by a frozen input. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.