The Clock Handshake

The corpus priced expansion once before: AP42’s dark clock, τ = (6/21)·t_H — six faces of ε over twenty-one channels — built years apart from any of this (AP42 §5; KS-42.3 carries the formula, KS-42.6 its empirical limb). The registry’s own note on KS-42.3 says the claim rests on face-erasure as the atomic unit.

The shed picture has the same atom. The lane-time is one face-erasure: the cycle over the lanes the cycle rides. The order in which the count was fixed is stated as the night’s record states it, not as it would read best. Three counts were run at the author’s command, and the locked clock adjudicated: six lanes would give 13.8 Gyr, wrong by 3.5×; nine, 9.2 Gyr, wrong; twenty-one, 3.95 Gyr against AP42’s 3.94 at the measured age — the 0.31% of §9 wearing a smaller number. The author’s first instinct had not been twenty-one. Mid-commission he saw it — I can see the leakage seemingly everywhere — and twenty-one cohered with a ruling the corpus already carried: gravity holds all channels.

So the count is not a fit to the clock, because the corpus had fixed it elsewhere before this paper existed; but on the night it was the clock, not the ruling, that picked it. That is why this joint is one corroboration counted once and not an independent success. With the count, AP42’s clock is six lane-times: 6 × (cycle/21) = (6/21) × cycle.

The elementary lane-time: t_H/21 ≈ 657 million years per face-erasure at AP42’s input timescale, which is the chain’s own lane of §9, 658.6 million years, read at the measured age instead of the cycle.

Grade, stated plainly. This joint is consistent by construction with §9. It reproduces AP42’s ratio because six of the same twenty-one is 6/21, and it reproduces AP42’s number exactly to the extent that the cycle is the age. It is one corroboration, counted once, and it is internal — two derivations of one corpus sharing an atom. Nature’s vote stays with KS-42.6, KS-45.1 and the surveys watching them.