Canonical Conditional Unlocking Fields (CUF): Reference Operator Implementation

This record provides a canonical reference implementation of the Conditional Unlocking Fields (CUF) update law, preserved as a structural and executable specification of admissible state evolution under constraint. The artifact encodes the formal operator order governing state transitions, including generation of a proposed update, pre-correction measurement of constraint violation, computation of a minimal corrective displacement via a ledger operator, and realization of an admissible next state. This material is released as a theoretical and methodological reference aligned with the defining CUF equations and is not presented as a complete or optimized system. Domain-specific controllers, tuned parameters, and applied embodiments are intentionally excluded. The CUF update mechanism described herein is subject to a provisional patent filing. This record is provided to establish priority, support theoretical reproducibility, and enable structural comparison across disciplines such as dynamical systems, control theory, and identity-preserving computational processes, without disclosing protected application-level implementations. This artifact is intended to function as a canonical archival anchor for the CUF operator structure, enabling long term traceability, semantic indexing, and cross domain linkage within discovery systems while preserving the distinction between protected embodiments and public theoretical specification.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-03
DOI
https://doi.org/10.5281/zenodo.18468795
Primary Topic
Formal Methods in Verification
Type
article
Field-Weighted Citation Impact
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article

Canonical Conditional Unlocking Fields (CUF): Reference Operator Implementation

Kearon Allen
Zenodo (CERN European Organization for Nuclear Research)
Formal Methods in Verification
article

Canonical Conditional Unlocking Fields (CUF): Reference Operator Implementation

Kearon Allen
article en

Abstract

This record provides a canonical reference implementation of the Conditional Unlocking Fields (CUF) update law, preserved as a structural and executable specification of admissible state evolution under constraint. The artifact encodes the formal operator order governing state transitions, including generation of a proposed update, pre-correction measurement of constraint violation, computation of a minimal corrective displacement via a ledger operator, and realization of an admissible next state. This material is released as a theoretical and methodological reference aligned with the defining CUF equations and is not presented as a complete or optimized system. Domain-specific controllers, tuned parameters, and applied embodiments are intentionally excluded. The CUF update mechanism described herein is subject to a provisional patent filing. This record is provided to establish priority, support theoretical reproducibility, and enable structural comparison across disciplines such as dynamical systems, control theory, and identity-preserving computational processes, without disclosing protected application-level implementations. This artifact is intended to function as a canonical archival anchor for the CUF operator structure, enabling long term traceability, semantic indexing, and cross domain linkage within discovery systems while preserving the distinction between protected embodiments and public theoretical specification.

Zenodo (CERN European Organization for Nuclear Research)
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Formal Methods in Verification
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