Artian Dual-Clock Sagnac Preregistration: An Operator-Complete Four-Channel Gram Test of Metric Proper Time versus QTT Clock Projection

Can one rotating matter-wave loop distinguish metric proper time from a second clock projection without programming the answer into the apparatus? Version: 2.0 Concept DOI: 10.5281/zenodo.21376520 Author: Ali Attar Website: quantumtraction.org Main book: Quantum Traction Theory: Main Book v10.01, especially pp. 554-573 The ordinary Sagnac law is shared by general relativity and QTT. The decisive question is therefore not whether rotation produces phase, but whether four physical reference histories on one matter-wave loop contain an unprogrammed terminal clock overlap after ordinary downstream gains are cancelled. The raw channel law is \[ S_{ab}=\kappa\sqrt{\eta_a\eta_b}\,\Gamma_{ab}, \qquad a,b\in\{\tau,T\}, \] and the sealed Version 2 primary estimand is \[ \boxed{ R_{\rm Gram} = \sqrt{\frac{|S_{\tau T}S_{T\tau}|}{|S_{\tau\tau}S_{TT}|}} }. \] The duplicate histories close factorized gain; the cross histories carry the candidate reference overlap. Only after all operator, hardware, covariance, power, and unprogrammed-access gates pass do the two fixed predictions become active: \[ \boxed{ R_{\rm Gram}^{\rm GR+QM}=1, \qquad R_{\rm Gram}^{\rm QTT-A1}=\cos\!\left(\frac{\pi}{8}\right) =0.9238795325112867\ldots }. \] Version 2.0 sharpens the public Version 1.0 and 1.1 seals after an operator audit. Full calibration through the clock-sensitive history removes the candidate factor and returns unity under both theories. Deliberately preparing ordinary quantum pointer states with overlap \(\cos(\pi/8)\) also makes standard quantum mechanics predict the QTT number. Both paths now produce an ineligible packet rather than a foundational verdict. The exact identifiability boundary is \[ \boxed{ R_{\rm Gram}=N_{\rm cross}^{\rm ord}I_{\rm clk}^{q}, \qquad q=0\ \text{(GR+QM)},\quad q=1\ \text{(QTT-A1)} }. \] The ordinary factor \(N_{\rm cross}^{\rm ord}\) must be frozen at unity by a device-level standard-QM forward model and an auxiliary witness that bypasses the terminal clock tag. If it is unknown, the theory exponent is not identifiable and the release rule returns no theory verdict. The retained pre-data readiness threshold is \[ \boxed{ \sigma_{R_{\rm Gram}}^{\rm plan}\leq1.5\times10^{-3}, \qquad P_{\rm class}^{\rm GR}\geq0.80, \qquad P_{\rm class}^{\rm QTT}\geq0.80 }. \] The Version 2 packet contains 15 eligibility gates, a full four-slope covariance estimator in log space, a machine-readable amendment lock, explicit forbidden mutations, and deterministic synthetic checks for both point branches. No qualifying target data are included and no experimental result is claimed. Sealed lineage: Version 1.0 canonical prediction hash: 927dca6cf0c42c703f474c32a7761081d946eafb035bdb13f716a3a6023da837 Version 2.0 operator lock: 789ba961c42a0954a216ff757cd191b85e7b150d62d91e3bdafe15aa51cd0356 Status: SIGMA-SAGNAC-FOUR-CHANNEL-GRAM-OPERATOR-CLOSED SIGMA-SAGNAC-CALIBRATION-ERASURE-NO-GO-CLOSED SIGMA-SAGNAC-PROGRAMMED-OVERLAP-NO-GO-CLOSED SIGMA-SAGNAC-UNPROGRAMMED-ACCESS-PROTOCOL-CLOSED-HARDWARE-PENDING SIGMA-SAGNAC-LIVE-POWER-CERTIFICATE-PENDING SIGMA-SAGNAC-EMPIRICAL-VERDICT-NOT-CLAIMED Reader routes: Absolute Background Clock Clock projection factor pi/8 projection Corpus Tree entry Companion Folman phase-spine paper The PDF is the first preview file. The release archive contains the LaTeX source, preserved historical seals, canonical Version 2 operator lock, four-history packet schema, analyzer, mutation-aware verifier, scientific and render audits, machine receipts, and SHA-256 manifest.