2026-07-21 (XX) ( v509 — WP5e- [formula in source] of CELEST.SEAM.01 ``the CPS level-from-flux dial'' promoted as CELEST.WP5E.EPS2.01, verdict B: the Costello–Paquette–Sharma Burns-holography mechanism (``level [formula in source] flux quantum [formula in source] Dynkin index'') executed on the lockstep spheres — the CPS SKELETON exact ( [formula in source] period [formula in source] with pullback density [formula in source] , exceptional-sphere K\"ahler flux [formula in source] , boundary level magnitude [formula in source] by the symplectic-boson contraction, [formula in source] ); the PAIRING MATRIX pinned, not postulated ( [formula in source] ledger [formula in source] integrality [formula in source] unimodularity [formula in source] effectivity [formula in source] [formula in source] by complete enumeration: rows [formula in source] , [formula in source] unimodular, exactly [formula in source] effective [formula in source] identity [formula in source] diagram flip), fluxes [formula in source] with uniformly ONE quantum per charged current; ``level [formula in source] total flux'' KILLED by the lockstep test itself ( [formula in source] unequal [formula in source] flavour multiplicity), the per-current reading [formula in source] anchored by the lattice current count [formula in source] and embedding index [formula in source] ; ord- [formula in source] -vs-level- [formula in source] RESOLVED (the clock order counts fractional flux sectors: [formula in source] , Lagrangian [formula in source] glue, KLM [formula in source] ) with the NEW sector-counter dial [formula in source] for [formula in source] — exactly ONE sector iff [formula in source] ; the LOCKSTEP THEOREM lifts the v505 ``one scale [formula in source] one level'' to a THEOREM of clock invariance ( [formula in source] equal, monodromy [formula in source] pure phase [formula in source] , [formula in source] : no invariant flux vector; NEW falsifier [formula in source] : [formula in source] orderings lockstep); honest limit: uniform doubling keeps the lockstep (equality, not the value); controls [formula in source] / [formula in source] / [formula in source] separate honestly; Wolfram extension [formula in source] (verified engine run); NO marker moves — WP5e stays \ (the CPS dictionary on [formula in source] typed , the type-I B-model back-reaction ), SEAM.EQUIV.01 stays )
Research changelog · TFPT — Introduction and reading guide
v509_celestial_wp5e_eps2_level_from_flux.py ( CELEST.WP5E.EPS2.01, 28 checks, [formula in source] s; sympy/Fraction exact, no floats; deterministic). Target: derive the boundary level [formula in source] from flux quantisation on the lockstep spheres, following the Costello–Paquette–Sharma Burns-holography mechanism (PRL 130, 061602; arXiv:2306.00940). CPS skeleton replicated exactly: the [formula in source] period o
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