ESCT v9.7b: A_ref Unification Patch — Restoring Numerical Reproducibility of OP9 Calibration Predictions Technical Patch for ESCT v9.7a Corrected Supplement and All Prior Documents

ESCT v9.7b: A_ref Unification Patch — Restoring Numerical Reproducibility of OP9 Calibration PredictionsTechnical Patch for ESCT v9.7a Corrected Supplement and All Prior Documents Abstract: ESCT v9.7b is a single-issue technical patch resolving a fundamental inconsistency in the OP9 calibration formula that persisted through v9.7a. No predictions, parameters, or mathematical structures are modified.The Problem: All prior ESCT documents defined the calibration reference as PSD_ref = 20.0 µV²/Hz (a power spectral density reference), but computed PSD predictions using PSD = (noise × 20.0)², which is only dimensionally valid if 20.0 carries units of µV/√Hz — a spectral amplitude reference, not a power reference. Under the power reference interpretation, the correct inverse formula is PSD = noise² × 20.0, yielding T3 = 0.054, T2 = 0.303, T1 = 4.80 µV²/Hz. T1 = 4.80 µV²/Hz falls outside the claimed literature range of 50–150 µV²/Hz by a factor of ~20, and cannot be independently reproduced from the stated formula.The Correction: v9.7b adopts the amplitude reference convention throughout all documents: A_ref = 20.0 µV/√Hz, corresponding to the awake broadband EEG spectral amplitude ceiling [Niedermeyer 2005]. The unified calibration formula is:noise_model = √PSD / A_refPSD_predicted = (noise_model × A_ref)²Under this convention, T3 = 1.08 µV²/Hz, T2 = 6.05 µV²/Hz, T1 = 96.04 µV²/Hz — all within their respective literature-reported ranges and independently reproducible from the stated formula. The numerical results of all prior versions are preserved; only the reference quantity definition and dimensional notation are corrected.After v9.7b, the ESCT v9.6–v9.7 framework is submission-ready for Frontiers in Theoretical Neuroscience or PLOS ONE: theoretically complete, calibrated, falsifiable predictions in physical units, and honestly distinguished from experimentally verified results. Level 3 individual-subject validation remains pending PhysioNet data access (doi:10.13026/C2CC73).Qualia ∉ Domain(Ĉ(ω,t)) — The Hard Problem is not solved. It is precisely bounded.