Matter, Gauge Structure, and Spectroscopy in the Finite-QEC Substrate

States the matter and gauge canon of the finite-QEC substrate program: the recovery of Standard-Model-like charge, colour, and three-generation structure from an eight-bit local code on the truncated cubic honeycomb; the gauge-web construction; hadron spectroscopy including the nucleon mass at the 10-3 level; and the named open problems, including the continuum chiral/mirror-gapping question. Copyright (C) 2026 D. G. Elliman. 2026-06-20 canon refresh: Updated to current byte/fermion dictionary, bare-strong-CP split, DeltaL2 CP-holonomy frontier, narrowed SMG pure-Wilson-axis theorem, and item115 Dirac-triple velocity status; build/render checked locally; not Zenodo-synced. 2026-06-21 canon refresh: Source updated with CP-holonomy recovery-latch and SMG continuum-gate refinements and rebuilt on 2026-06-21. 2026-06-25 canon refresh: Zenodo-synced on 2026-06-21: new-version published as 10.5281/zenodo.20782243 (concept 10.5281/zenodo.20671857); local build/render previously checked. 2026-06-21 canon refresh applied where needed; PDF rebuilt and checked. Zenodo-synced on 2026-06-21: new-version published as 10.5281/zenodo.20786121 (concept 10.5281/zenodo.20671857).