Technical Report v1.10: Correction of SSIM Stabilization Constants (C1, C2, C3) and Documentation of the σ_gt≈0.16 Content-Population Discontinuity — Errata and Supplement to Technical Reports v1.0, v1.4, v1.9, and v1.9.1

Errata and supplement to Technical Reports v1.0, v1.4, v1.9, and v1.9.1. This document corrects an implementation error in the SSIM stabilization constants C1, C2, C3 used throughout the alignment_axis_images*.duckdb database generation pipeline since the project's inception, and recomputes every value in the four reports above that depends on the theoretical critical points μc and σc. The constants had omitted the squaring required by the standard Wang et al. (2004) convention Ci=(KiL)², giving values roughly 100×/33× too large; the correction gives C1=0.0001, C2=0.0009, C3=0.00045, and μc≈0.0071, σc≈0.0212 (previously reported as μc≈0.0707, σc≈0.1225). All four affected models — Upscayl Standard, SwinIR, Upscayl High-Fidelity, and Upscayl Digital-Art — were regenerated in full (5,004 images and 163,971,072 blocks each, no image-level filtering) and re-verified via live SQL execution, screen-recorded and hash-verified (each recording begins by showing Windows system information — Windows 11 Home, build 10.0.26200 — to establish the recording's authenticity before the SQL execution itself). A second, independent finding made during this full-dataset regeneration — a content-population discontinuity in the texture axis beyond σ_gt≈0.16 — is also documented and corrected for. The complete database schema, corrected generation pipeline scripts, and verification SQL are included to enable independent reproduction. Dataset and Mandatory Citation:- Source: NIH ChestX-ray8 (Hospital-scale chest x-ray database)- Citation: Wang, X., Peng, Y., Lu, L., Lu, Z., Bagheri, M., & Summers, R. M. (2017). "ChestX-ray8: Hospital-scale chest x-ray database and benchmarks on weakly-supervised classification and localization of common thoracic diseases." Proceedings of the IEEE Conference on Computer Vision and Pattern Recognition (CVPR), 3462–3471. - Download: https://nihcc.app.box.com/v/ChestXray-NIHCC Contact : s.shiny.n.works@gmail.com