What question did this study set out to answer?

The research aims to formalize the mathematical structure of the Paton System, focusing on viability and continuation under existing constraints.

January 27, 2026Open Access

Paton Unified Equations — Complete (Cross‑Referenced Edition)

Key Points

The research aims to formalize the mathematical structure of the Paton System, focusing on viability and continuation under existing constraints.
Compiled comprehensive equations related to the Paton System.
Developed visual companions to support understanding of the framework.
Cross-referenced equations for consistency and coherence.
Established a detailed structure for evaluating continuation and inference.
Clarified the role of existing constraints in determining viability and structural persistence.

Abstract

This record contains the complete mathematical and structural spine of the Paton System, including the Recursive Structure Equation, the Admissibility & Viability Gate, the Unified Paton Equation, and an accompanying visual companion. The Paton Unified Equations formalise a viability-first continuation framework. Rather than proposing new physical laws, metaphysical entities, or causal forces, the framework evaluates whether continuation, inference, or structural persistence is permitted under existing constraints.

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Cite This Study

Andrew John Paton (Sun,) studied this question.

synapsesocial.com/papers/6978551eccb046adae517412 https://doi.org/https://doi.org/10.5281/zenodo.18364922

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