What question did this study set out to answer?

To articulate a minimal formal understanding of the Paton System through the concept of admissible datum.

February 28, 2026Open Access

The Datum Interface Principle: Recursive Admissibility as the Minimal Structure of Continuation

Key Points

To articulate a minimal formal understanding of the Paton System through the concept of admissible datum.
Defined a datum as a recursively generated state under constraint and memory.
Analyzed the conditions for continuation based on admissibility.
Explored the implications of frame-relative constraint events for beginnings and terminations.
Demonstrated that beginnings and terminations are not absolute, but relative to frames of reference.
Reduced the structure of the Paton System to recursive admissibility along with memory and boundary conditions.

Abstract

This paper presents a minimal formal articulation of the Paton System from the perspective of a single admissible datum. A datum is defined as a recursively generated state existing under constraint and memory. Continuation is permitted only when admissibility remains satisfied. The result demonstrates that beginnings and terminations are frame-relative constraint events rather than absolute ontological boundaries. The structure reduces to recursive admissibility with memory and boundary conditions. All higher-tier geometric, cosmological, and domain-specific formulations are derivative of this minimal interface law.

The Datum Interface Principle: Recursive Admissibility as the Minimal Structure of Continuation

Key Points

Abstract

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