The Support, the Exponent, the Duty

Why α to the eighteenth. The support, by the author’s shed-support lemma: shedding needs something actualized to shed from. The three gates are the now itself — at the gate nothing has actualized yet, so there is nothing there to shed. The shed lives on the eighteen face-projections. The gates open and close; the faces bleed. 21 − 3 = 18 as where shedding is possible at all.

The exponent’s form, by the author’s thread ruling: to escape, the shed must cross all eighteen faces — one α-transparent door each, all in one tick — so the per-tick leak is the chance of threading eighteen sequential gates, α × α × … × α. One escape per α⁻¹⁸ ticks. In the author’s own words: the escape probability for a configuration is low, and it depends on a lot falling into place — which is the multiplicative reading itself.

The duty cycle. The shed bleeds through the eighteen while the full service-cycle paces all twenty-one. The gates take their turn each cycle, opening and closing, and never bleed. Eighteen twenty-firsts of the time, the world leaks.

These are counts, and they are choices made by ruling, not fits: the eighteen (AP28’s faces, fixed before this paper), the twenty-one over eighteen (the service-cycle), and, in §5, the reduced tick. The family’s lesson stands here as everywhere: α at every door, and each site’s structure sets only how many doors assemble. Eighteen at the sky.