COS45A Geometric Admissibility Framework for Observable Decision Boundaries with Empirical Boundary Crossing (v2.3)

COS45 is a geometric admissibility framework operating at the observable decision layer. It defines a scalar decision variable ηₙ derived from spectral quantities of a data matrix H_W. If ηₙ > 0, the configuration is declared ADMISSIBLE; if ηₙ ≤ 0, the result is NON-CONCLUSIVE. No claim is made beyond admissibility. All components are observable. The framework performs no structure detection, classification, or causal inference. Strict layer separation is enforced: EXACT → STRUCTURAL → LOCAL BRIDGE → OBSERVABLE → DECISION. Under null-calibrated thresholding, the NON-CONCLUSIVE regime is empirically observed as a consequence of the chosen quantile level. Under structured signal degradation, a crossing of ηₙ = 0 is

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-04-13
DOI
https://doi.org/10.5281/zenodo.19555415
Primary Topic
Distributed Sensor Networks and Detection Algorithms
Type
article
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article

COS45A Geometric Admissibility Framework for Observable Decision Boundaries with Empirical Boundary Crossing (v2.3)

Louis Morissette
Zenodo (CERN European Organization for Nuclear Research)
Distributed Sensor Networks and Detection Algorithms
article

COS45A Geometric Admissibility Framework for Observable Decision Boundaries with Empirical Boundary Crossing (v2.3)

Louis Morissette
article en

Abstract

COS45 is a geometric admissibility framework operating at the observable decision layer. It defines a scalar decision variable ηₙ derived from spectral quantities of a data matrix H_W. If ηₙ > 0, the configuration is declared ADMISSIBLE; if ηₙ ≤ 0, the result is NON-CONCLUSIVE. No claim is made beyond admissibility. All components are observable. The framework performs no structure detection, classification, or causal inference. Strict layer separation is enforced: EXACT → STRUCTURAL → LOCAL BRIDGE → OBSERVABLE → DECISION. Under null-calibrated thresholding, the NON-CONCLUSIVE regime is empirically observed as a consequence of the chosen quantile level. Under structured signal degradation, a crossing of ηₙ = 0 is

Zenodo (CERN European Organization for Nuclear Research)
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Distributed Sensor Networks and Detection Algorithms
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