The Branch Beyond λ = 60.0: The Far-V₀ Branch Runs to λ = 70.0 on a Ceiling Stated from the Trend Alone, the Eighth Fit Gains 0.02 — and the Limit Falls: the New Gain Ratio, 1.00, Fires Paper #632's Caveat, the Obstruction Reopens, and the Limiting Slope Returns to a Bracket

The far-V0 branch of the exponential rolling field is followed past paper #632's scan end, and the limiting slope's standing is checked under paper #632's printed caveat. Gated digit-for-digit on the whole body of paper #632's notebook (Gates A-L and its seventh scan) and on paper #632's printed exhibits (Gate M: twenty members, census, seventh fit 22.92 lambda - 50.16, gains 1.18, 0.24, 0.09, 0.05, 0.04, 0.02, gain ratios 0.20, 0.38, 0.56, 0.80, 0.50, extrapolations 22.9400, 22.9400, 22.9378, tightened bound 23.0000), the paper states an eighth scan before its results by the parents' rule -- lambda from 60.5 to 70.0 in steps of 0.5, the widened search carried to log V0 = 1655, the ceiling set as the seventh fit's end prediction at lambda = 70 (1554.24) plus a margin of about one hundred, on the trend's arithmetic alone. The branch is present at all twenty sampled lambda values (log V0 1336.785 rising to 1554.711, w0 +0.990 to +0.995, H0 76.16 to 76.48) and does not terminate inside the scan; the census of upward crossings at step 2 in log V0 finds exactly one crossing at every lambda (137 sampled lambda across eight scans). The eighth release-line fit is 22.94 lambda - 51.07, completing the gains sequence 1.18, 0.24, 0.09, 0.05, 0.04, 0.02, 0.02 with half-range fits 22.94 and 22.94. The eighth gain does not fall: the eighth gain ratio is 1.00 at the printed convention the line has used for every gain and ratio, at or above 0.80, so paper #632's caveat fires on its printed terms -- the obstruction reopens at its new size and the limiting slope computed at 22.94 returns to a bracket (the bracket the record last printed whole, 22.9307 to 23.0600); it does not stand computed on this record. The unrounded reading (gain 0.0152, ratio 0.587) is printed beside it: below 0.80 but above the 0.56 threshold, in paper #622's between band, where the bracket treatment continues -- the standing falls at either precision. No new limit is computed: the scan is a check on the standing, not a re-derivation. The eighth fit's slope, 22.94, equals the fallen limit's value. Grade: EXTENSION. Derivation-independence count: 0. Quantum gravity NOT SOLVED; vacuum catastrophe NOT SOLVED.