The Branch Beyond λ = 80.0: The Far-V₀ Branch Runs to λ = 90.0 on a Ceiling Stated from the Trend Alone, the Tenth Fit Gains 0.01 — and the Limit Is Not Recomputed: the New Gain Ratio, 1.00, Does Not Qualify Under Paper #622's Rule, and the Limiting Slope Stands at 22.96 on the Wave 30 Paper's Computation

The far-V0 branch of the exponential rolling field is followed past the Wave 30 paper's scan end, and the limiting slope's standing is ruled on under paper #622's rule as the record now stands (the slope stands computed at 22.96 on the Wave 30 paper's qualifying ninth range; a future range recomputes the limit only if its gain ratio qualifies below 0.56 on the printed convention, otherwise the standing of the last qualifying computation holds). Gated digit-for-digit on the whole body of the Wave 30 branch notebook (Gates A-N and its ninth scan) and on the Wave 30 paper's printed exhibits (Gate O: twenty members, census, ninth fit 22.95 lambda - 51.74 with unrounded slope 22.9493, printed gain 0.01, printed ratio 0.50, unrounded ratio 0.633, extrapolations 22.9600 / 22.9600 / 22.9621 -- the limit standing computed at 22.96). A tenth stated scan, declared before its results on the trend's arithmetic alone: lambda from 80.5 to 90.0 in steps of 0.5, ceiling log V0 = 2114 -- the ninth fit's own end prediction at lambda = 90 (22.95 x 90 - 51.74 = 2013.76) plus a margin of 100.24. The branch is present at all twenty sampled lambda (log V0 1795.678 -> 2013.757; w0 +0.998 -> +0.999; H0 76.75 -> 76.94) and does not terminate inside this scan (the end member 100.2 below the stated ceiling and within 0.01 of the ninth fit's own end prediction). Census: exactly one upward crossing at every lambda -- 177 sampled lambda across ten stated scans, the branch never absent and never joined by a second. The tenth fit is log V0 = 22.96 lambda - 52.26 (unrounded slope 22.9557; half-range fits 22.95 / 22.96), completing gains 1.18, 0.24, 0.09, 0.05, 0.04, 0.02, 0.02, 0.01, 0.01. The tenth gain is 0.01, equalling the ninth: the tenth gain ratio is 1.00 at the printed convention -- not below 0.56 -- and the unrounded reading (gain 0.0065, ratio 0.672) agrees for the first time in three ranges; this range does not qualify, no new limit is computed, and the limiting slope stands at 22.96, the standing of the last qualifying computation, held by the rule. The tenth fit's printed slope equalling the standing limit's value is printed as a fact and claimed as nothing. Stated limits: lambda <= 90.0, log V0 <= 2114, census step 2. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.