2026-07-21 (XVII) ( v507 — the tautology attack on the v506 alignment bit, executed and refuted, promoted as SEAM.BIT.ORIGIN.01: the ORIGIN THEOREM — marks [formula in source] fixed points of the hyperelliptic involution [formula in source] the [formula in source] half-periods [formula in source] of the seam double, and EVERY mark-free collar deck IS a half-period translation (in all three stabiliser types [formula in source] the free involutions are exactly the three [formula in source] : the CLASS of the deck is forced, its POSITION is not); the CORE SOLVE (symbolic [formula in source] ): a marks-preserving root of [formula in source] exists [formula in source] (one per [formula in source] ; intrinsic: the deck pairs separate harmonically), union [formula in source] the harmonic orbit [formula in source] ; the EQUIVALENCE TETRAD ``Uhr existiert [formula in source] ( [formula in source] AND deck [formula in source] CM-fixed half-period) [formula in source] (Stab [formula in source] AND deck central) [formula in source] deck pairs harmonic [formula in source] NS Fock lift NONSPLIT''; the FERMION DICHOTOMY (the new physical face): central [formula in source] nonsplit vs edge [formula in source] SPLIT ( [formula in source] vs [formula in source] roots — the bit IS a Fidkowski–Kitaev-type extension class, distinguished but not derived); the silver set [formula in source] the in-family misalignment witness; Wolfram extension [formula in source] (verified engine run); NO marker moves — the bit stays , SEAM.CLOCK.RIGIDITY.01/ QGEO.REALIZE.01/ P2.TYPING.01 text precised only)
Research changelog · TFPT — Introduction and reading guide
v507_seam_bit_origin.py ( SEAM.BIT.ORIGIN.01, 26 checks, [formula in source] 2.6 s; Part A sympy-exact torus/M\"obius arithmetic [formula in source] Part B exact [formula in source] Fractions; deterministic). Conjecture under attack: marks and deck both descend from the SAME torus structure (the seam double [formula in source] , v214/ v260), so the common origin would force the central alignment automatically and the
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