What question did this study set out to answer?

The aim is to establish a framework for understanding system existence, observation, and continuation based on constraints.

April 1, 2026Open Access

Title THE PATON SYSTEM A Unified Constraint-Based Architecture of Existence Observation and Continuation

Key Points

The aim is to establish a framework for understanding system existence, observation, and continuation based on constraints.
Developed a unified constraint-based framework for system analysis.
Defined observation as a bounded interface without full access to the system.
Outlined conditions for admissibility and viability within the framework.
Demonstrated that systems exist under specific admissibility conditions.
Established that continuation is subject to viability under recursive constraints.
Showed that the framework can apply across various scientific domains without modification of existing theories.

Abstract

This paper presents the Paton System as a unified constraint-based framework defining the conditions under which systems can exist be observed and continue. The framework operates as a pre-theoretical structural layer governing admissibility observation and continuation across domains. It establishes that system existence depends on admissibility formation occurs through recursive constraint and continuation is governed by viability under constraint. Observation is defined as a bounded interface rather than full system access and system limits are interpreted as boundaries of admissible reconstruction rather than final states. The framework applies across domains without modifying existing scientific theories and provides a structural condition for when models are permitted to operate.

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