Operator Interaction Law Sheet — Formal Composition Rules for Paton System Operators

This document formalises the interaction laws governing operators within the Paton System. It specifies composition rules, precedence hierarchy, dominance conditions, nullification conditions, and commutation laws. These rules define the closure criteria for the operator layer, ensuring consistent multi-operator evaluation and structural admissibility across domains. The sheet functions as a foundational specification enabling mathematically coherent operator stacking and system-level validation.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-15
DOI
https://doi.org/10.5281/zenodo.18642644
Primary Topic
Holomorphic and Operator Theory
Type
article
Field-Weighted Citation Impact
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article

Operator Interaction Law Sheet — Formal Composition Rules for Paton System Operators

Andrew John Paton
Zenodo (CERN European Organization for Nuclear Research)
Holomorphic and Operator Theory
article

Operator Interaction Law Sheet — Formal Composition Rules for Paton System Operators

Andrew John Paton
article en

Abstract

This document formalises the interaction laws governing operators within the Paton System. It specifies composition rules, precedence hierarchy, dominance conditions, nullification conditions, and commutation laws. These rules define the closure criteria for the operator layer, ensuring consistent multi-operator evaluation and structural admissibility across domains. The sheet functions as a foundational specification enabling mathematically coherent operator stacking and system-level validation.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Openalex Percentile: Top 52%
Holomorphic and Operator Theory
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Operator Interaction Law Sheet — Formal Composition Rules for Paton System Operators — Andrew John Paton · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS