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The research aims to elucidate entropy's function within the Paton System without altering thermodynamic laws.

March 30, 2026Open Access

Entropy as Admissibility Drift: A Structural Placement within the Paton System

Key Points

The research aims to elucidate entropy's function within the Paton System without altering thermodynamic laws.
Analyzing the structural role of entropy within the Paton System
Interpreting entropy as admissibility drift under constraints
Examining the second law of thermodynamics in this context
Entropy provides a measure of admissibility drift within structural constraints
Second law of thermodynamics is seen as a tendency towards states of greater admissible distribution
Clarifies the distinction between statistical description and structural behavior while ensuring thermodynamic consistency

Abstract

This paper clarifies the structural role of entropy within the Paton System. Without introducing new physical laws or modifying thermodynamics, entropy is interpreted as a measure of admissibility drift under constraint. The second law of thermodynamics is treated as a directional tendency of systems toward states of increased admissible distribution under constraint conditions. This interpretation separates statistical description from structural behaviour, resolving ambiguity regarding disorder while remaining fully consistent with established thermodynamic formalism.

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Andrew John Paton

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Entropy as Admissibility Drift: A Structural Placement within the Paton System

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Abstract

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