Codes for "The Hodge structure of Berry-phase transport: topology, geometry, and noise." Superseded. The complete archive for the revised manuscript is DOI 10.5281/zenodo.23392428
This manuscript (Monograph 13 / Addendum G-3, codenamed "Cyber-Sanctuary") establishes the mathematical physics, cryogenic boundary equations, and operator ethics of Synthetic and Quantum Sanctuary Mechanics within the Emerald Research Group archive. We formalize the structural parallel between human systemic treachery (Nifaq) and the bad-faith adversarial exploitation of artificial intelligence and superconducting quantum processing architectures (e.g., Google's Willow chip). We define the cryogenic thermal boundary (T <= 10 mK) suppressing thermal phonon density n_th, and derive the surface-code topological error-correction equations governing logical error suppression P_L(d, p) for code distances d >= 7 under sub-threshold gate error rates (p < p_th). Furthermore, we formalize the Bad-Faith Exploitation Operator (E_malicious) and prove the Computational Mirror Theorem, demonstrating that malicious prompt injection and deliberate non-unitary noise injection do not evaluate system robustness, but rather quantify the moral entropy (Delta S_human) of the human operator. (Extends Emerald Research Group Zenodo Archive DOIs: 10.5281/zenodo.23290255, 10.5281/zenodo.23290377, 10.5281/zenodo.23294919, and 10.5281/zenodo.23300625).
Major revision, 19 October 2026. This revision separates three objects previously conflated: a classical [8,4,4] code, its one-code CSS stabilizer state, and a nonlinear set of 48 allowed eight-bit register words. The register admits a 32+16 partition by one generation bit. A declared evolution preserves that partition if its operators commute with the corresponding parity. This elementary conservation statement is retained; it does not establish a concatenated quantum code, a noise threshold or topological protection. The channel-friction ansatz, golden-ratio fixed point and XOR bookkeeping are given their proper conditional scope. Claims of CKM predictions and a derived particle-mass mechanism are withdrawn, as is the claim that the legacy walk is native to the corrected geometry. Changes from earlier versions: The revision removes concatenated-code/topological-protection claims and CKM/mass predictions unsupported by the declared register and retired transport law. The revision separates 16 codewords, a one-dimensional CSS stabilizer space and 48 allowed register words; the latter has Hamming distance one. The revision corrects the geodesic/line-graph count. The revision states a real recovery criterion and the hypotheses of the commutation argument. Retained result: Classical code facts, the nonlinear register count, a conditional sector-conservation proposition and explicitly conditional scalar/graph identities. Previously titled: A Concatenated Quantum Code with Topologically-Protected Outer Structure on the Q3 Hypercube: Channel-Friction Semantics and Applications to Particle Physics. The preceding version and earlier versions remain available. This is a revised preprint, not an independently peer-reviewed result. It uses existing evidence; no new scientific calculations were run and research branches remain frozen. AI assistance is acknowledged in the manuscript. Revision guide for all twelve papers. The attached PUBLICATION_UPDATES.csv provides old and new titles, DOIs and replacement descriptions for catalogue and website updates.