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March 13, 2026Open Access

The Admissibility → Observation Theorem: Why Observation Requires Structural Permission in the Paton System

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Authors

APAndrew John Paton

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Overview

Theorems demonstrate the necessity of structural conditions for observable states in the Paton System.

Key Points

  • This research aims to formalize the relationship between admissibility and observation in the Paton System.
  • Introduced the Admissibility → Observation Theorem.
  • Defined structural admissibility conditions at Tier-3.
  • Explored the observational interface at Tier-4.
  • Observation requires prior satisfaction of admissibility conditions.
  • Demonstrated that non-admissible states cannot be observed.
  • Illustrated implications across various domains such as physics and biology.

Cite This Study

Andrew John Paton (2026) studied this question.

synapsesocial.com/papers/69b3ac4d02a1e69014ccded0https://doi.org/10.5281/zenodo.18955678
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