A registered result in its source context

FTRANSFER.COCYCLE.01

Original ledger classification: [E] exact cocycle composition + [X] honest class-gate kill (0/4 matches, Lindblad escape refused); the second thermal-time route closed (Python-only per GATE.WOLFRAM.02).

Original claim text

T3-B -- conditioned modular flows from ONE internal mother state, the second thermal-time KILL (one module, 12 mechanical checks, ~1 s; discovery probe phys_t3b_conditioned_modular_flows.py 12/12, verdict T3B-DEAD). THE CONSTRUCTION (frozen before any target test): the sheet geodesic M(1,t), t = -2..1, delivers the four intertwiners J, K, C, F and the target-independent tangent S = dM/dt; S builds the chiral mother operator D_Sigma = [[0, S], [S^T, 0]] and -- with the ONE global KMS scale Delta = 6 log(3/2) -- the mother covariance C_Sigma; each intertwiner canonically yields its graph projector / CP compression channel Phi_X (NO solver data, NO fit parameters anywhere); conditioned covariances C_X = Phi_X(C_Sigma) and modular generators K_X = log((1-C_X)/C_X) follow per v258; the N-ladder uses the target-independent CAR sine regularization f_N with verified N^-2 convergence. THE KILL: the four conditioned flows come out LOXODROMIC/COMPLEX on the P1 shadow -- the frozen v578/v632 solver classes (hyperbolic / parabolic / degenerate) do NOT arise; the hard class gate honestly FAILS (0/4 matches) and the probe correctly REFUSES the NEEDS-LINDBLAD escape (the v238 GKSL variant is also all-loxodromic; a Lindblad verdict is only allowed on a full class match). POSITIVES that survive: the Connes cocycle composition along J-K-C-F is EXACT (max triple residual 1.6e-15) and exactly ONE global KMS scale fits all four interfaces (Delta = 2.4328 each). With v723 (FTRANSFER.STT.01) this closes BOTH thermal-time routes: the external clock contract of F_transfer stands. Kill audit printed (projectors target-free, one scalar/one time, QCD-without-hand-setting FAIL as the kill, no external mother-state parameters, N-ladder). No marker move.

Original classification detail

T3B-DEAD: the four solver classes do NOT arise from conditioned modular flows of one internal mother state (all four loxodromic/complex; cocycle composition exact; one KMS scale); with FTRANSFER.STT.01 both thermal-time routes are closed -- the external clock contract stands; no status move.

Dependencies as recorded

FTRANSFER.STT.01; FIRSTPRINCIPLES.BOUNDARY.01; v258; v578; v632