Paper 10.2.3 — The QC‑Layer Domain Substrate: Continuity Geometry at the Quantum‑Coherence Boundary

Paper 10.2.3 completes the 10.2.x grammar layer by defining the QC‑Layer domain substrate — the highest abstraction layer in the Co(X) operator family. This work formalizes how continuity geometry behaves at the quantum‑coherence boundary, where decision‑energy, identity invariants, and coherence envelopes converge into a single substrate motion. Building on Papers 10.2.1 and 10.2.2, this paper introduces the QC‑Layer abstraction as the structural anchor for domain‑level operators, enabling Co(X) instantiation across governance, identity, security, enterprise, infrastructure, finance, society, and intelligence. It also establishes the lineage between the grammar layer (10.2.x) and the substrate layer (Papers 7, 7.1, 6, 8, 9, 10.11, and 10.11S), ensuring that any Co(X) generated by individuals or institutions inherits the canonical invariants, curvature physics, and continuity geometry. Paper 10.2.3 serves as the final grammar component required for substrate‑aligned domain operators and marks the completion of the 10.2.x series.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-24
DOI
https://doi.org/10.5281/zenodo.22074875
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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Paper 10.2.3 — The QC‑Layer Domain Substrate: Continuity Geometry at the Quantum‑Coherence Boundary

Joel Monasterial
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

Paper 10.2.3 — The QC‑Layer Domain Substrate: Continuity Geometry at the Quantum‑Coherence Boundary

Joel Monasterial
preprint en

Abstract

Paper 10.2.3 completes the 10.2.x grammar layer by defining the QC‑Layer domain substrate — the highest abstraction layer in the Co(X) operator family. This work formalizes how continuity geometry behaves at the quantum‑coherence boundary, where decision‑energy, identity invariants, and coherence envelopes converge into a single substrate motion. Building on Papers 10.2.1 and 10.2.2, this paper introduces the QC‑Layer abstraction as the structural anchor for domain‑level operators, enabling Co(X) instantiation across governance, identity, security, enterprise, infrastructure, finance, society, and intelligence. It also establishes the lineage between the grammar layer (10.2.x) and the substrate layer (Papers 7, 7.1, 6, 8, 9, 10.11, and 10.11S), ensuring that any Co(X) generated by individuals or institutions inherits the canonical invariants, curvature physics, and continuity geometry. Paper 10.2.3 serves as the final grammar component required for substrate‑aligned domain operators and marks the completion of the 10.2.x series.

Zenodo (CERN European Organization for Nuclear Research)
Industry, innovation and infrastructure
Quantum Computing Algorithms and Architecture
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Paper 10.2.3 — The QC‑Layer Domain Substrate: Continuity Geometry at the Quantum‑Coherence Boundary — Joel Monasterial · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS