What question did this study set out to answer?

The research aims to recover Standard-Model-like structures from an eight-bit local code within the finite-QEC framework.

June 23, 2026Open Access

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

Key Points

The research aims to recover Standard-Model-like structures from an eight-bit local code within the finite-QEC framework.
Constructed gauge-web and eight-bit local code on truncated cubic honeycomb.
Conducted hadron spectroscopy, focusing on nucleon mass calculations at a precision of 10^-3 level.
Updated and integrated various canon parameters through multiple refreshes.
Achieved recovery of charge, colour, and generation structure resembling the Standard Model.
Provided insights into open problems, such as the continuum chiral/mirror-gapping question.
Noted the impact of updated parameters on hadron mass calculations.

Abstract

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.

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