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Original ledger classification: Exact [E] symbolic kill (parabolic + no-diagonalizable-log lemma) + [E] internal-pair confirmation ((2/3)^6 exact); the external clock contract confirmed and sharpened (Python-only per GATE.WOLFRAM.02).

Recorded statement: PHYS moonshot slice (T3 / F_transfer) -- can thermal time replace the external clock contract? The conjugacy-class KILL test (one module, 11 checks, ~1 s; discovery probe phys_modular_clock_probe.py 11/11, verdict STT-KILLED +…

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Paper context: Research contracts

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FTRANSFER.STT.01

Original ledger classification: Exact [E] symbolic kill (parabolic + no-diagonalizable-log lemma) + [E] internal-pair confirmation ((2/3)^6 exact); the external clock contract confirmed and sharpened (Python-only per GATE.WOLFRAM.02).

Original claim text

PHYS moonshot slice (T3 / F_transfer) -- can thermal time replace the external clock contract? The conjugacy-class KILL test (one module, 11 checks, ~1 s; discovery probe phys_modular_clock_probe.py 11/11, verdict STT-KILLED + INTERNAL-PAIR-CONFIRMED). STRONG THERMAL TIME (Connes-style: ONE modular flow sigma_t and four CONSTANT clock conversions t_k = c_k t) requires all four native time-1 maps in modular-exponential conjugacy classes -- a modular generator is (an image of) a self-adjoint operator, hence DIAGONALIZABLE, never parabolic. THE KILL: the F_QCD 1-loop clock map u -> u + 2 b0 (u = 1/g^2) is PARABOLIC and NOT diagonalizable (single Jordan block), and the symbolic 2x2 lemma 'exp of a real-diagonalizable matrix is diagonalizable' closes the door: no constant-rescaled modular flow produces the QCD clock -- STT is dead on the declared clock exports. THE CONFIRMATION: the F_pole/Koide multiplier at the attractor is EXACTLY (2/3)^6 = 64/729 (hyperbolic, dimensionless => internal; F_Boltzmann the same element by the v425 single-flow theorem, cited); F_relic is the identity (content = theta_i, internalization vacuous). THE TYPED CONSEQUENCE: the external clock contract is CONFIRMED and sharpened to the anchor census {one unit = Lambda_QCD (v_geo-class by No-Unit v153), one angle theta_i, one lattice O(1) C_p} -- T3's clock wall and T1's unit wall are THE SAME WALL, counted once. P5 syntax observation (seam rates {6 ln(3/2), 6 ln 3} in Z<log 2, log 3>, the two shortest groupoid orbit lengths; exact integer coefficients) typed as suggestive syntax, NOT evidence. sympy-exact, flows recomputed from the native ODEs (not read off v632). No marker move.

Original classification detail

STT-KILLED + INTERNAL-PAIR-CONFIRMED: strong thermal time is dead on the declared clock exports (QCD clock parabolic, not reachable by any modular flow); the pole/Boltzmann pair is internal ((2/3)^6 exact, v425); the external clock contract STANDS, sharpened to the typed census {one unit, theta_i, C_p}; no status move.

Dependencies as recorded

FR.POLE.SOLVE.01; FIRSTPRINCIPLES.BOUNDARY.01; ANCHOR.VGEO.02; v425; v153; v632

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Registered verification modules

  • v723_phys_modular_clock.pyRegistered verification module · core
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    FTRANSFER.STT.01: PHYS-Moonshot-Scheibe (T3/F_transfer) — kann Thermal-Time den externen Uhren-Vertrag ersetzen? Der Konjugationsklassen-KILL-Test — **STT-KILLED + INTERNAL-PAIR-CONFIRMED: die F_QCD-1-Loop-Uhr ist PARABOLISCH und nicht diagonalisierbar (einzelner Jordan-Block), und exp eines reell-diagonalisierbaren Generators ist diagonalisierbar (symbolisches Lemma) — kein konstant-reskalierter Modularfluss erzeugt die QCD-Uhr; der Pol-Multiplikator ist EXAKT (2/3)⁶ = 64/729 (hyperbolisch, dimensionslos ⇒ intern)**; getypte Konsequenz: der externe Uhren-Vertrag BESTÄTIGT und geschärft zum Anker-Census {eine Einheit (v_geo-Klasse), ein Winkel θᵢ, ein Gitter-O(1)} — T3s Uhren-Wand == T1s Einheiten-Wand, einmal gezählt (11 Checks, ~1 s)

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