2026-07-21 (XVI) ( v506 — seam clock rigidity, Route B of the v503 classification, promoted as SEAM.CLOCK.RIGIDITY.01: TWO exact theorems reduce the order- [formula in source] clock input to ONE alignment bit — Theorem A (M\"obius): the deck [formula in source] has EXACTLY TWO square roots [formula in source] in [formula in source] , both automatically order [formula in source] , and a marks-preserving root exists [formula in source] the deck is the CENTRAL involution of the mark- [formula in source] (counterexample [formula in source] : harmonic with full [formula in source] but deck non-central [formula in source] [formula in source] roots — harmonicity alone insufficient); Theorem B (Fock, the core): the NS deck implementation is FORCED to order [formula in source] — [formula in source] , i.e.\ [formula in source] EXACTLY, a nonsplit [formula in source] , with the [formula in source] tower [formula in source] , [formula in source] ( [formula in source] fermionically explained) and the R-sector control split ( [formula in source] ); the one \ rest: ``the collar deck is the central involution of the mark- [formula in source] '' — the fermionic [formula in source] forces the ORDER, not the spatial alignment; Wolfram extension [formula in source] (verified engine run); NO marker moves — QGEO.REALIZE.01 stays / \ (text precised), P2.TYPING.01 R1 mapped onto the same bit)
Research changelog · TFPT — Introduction and reading guide
v506_seam_clock_rigidity.py ( SEAM.CLOCK.RIGIDITY.01, 34 checks, [formula in source] 3.5 s; Part A sympy-exact M\"obius/divisor arithmetic [formula in source] Part B exact [formula in source] Fractions; deterministic). v503 localised the one remaining identification input (``why does the raw seam carry the order- [formula in source] clock'', QGEO-R1 [formula in source] P2-R1); v506 reduces it. Theorem A (M\"obius sid
Opening source excerpt. Formulas and the full argument remain in the original document.
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