What question did this study set out to answer?

To define a minimal structural model of phase behavior where no selection operates on phase differences.

January 14, 2026Open Access

Non-Selective Phase Model (NSPM): A Structural Model of Phase Without Selection

Key Points

To define a minimal structural model of phase behavior where no selection operates on phase differences.
Defined the non-selective phase model (NSPM) with specific structural properties.
Explored the relationships between NSPM and the inversion-closure model (ICM).
Illustrated the implementation of NSPM with examples.
Established that phase states in NSPM remain structurally equivalent without selection.
Demonstrated that the system does not converge to a dominant phase.
Confirmed that no attractor or terminal phase emerges in the NSPM framework.

Abstract

This document specifies the Non-Selective Phase Model (NSPM), a minimal structural model of phase behavior in which no selective mechanism operates on phase differences. The model defines a regime in which all phase states remain structurally equivalent—no phase is privileged, stabilized, or eliminated by selection. When phase differences are composed without selection, the system does not converge to a dominant phase but instead maintains a closed phase structure. No attractor or terminal phase emerges. This model is the complementary counterpart to the Inversion-Closure Model (ICM). Both models are structurally equal and mutually dependent: neither can form a complete system in isolation. No symbolic, semantic, physical, or metaphysical interpretation is assumed. Implementation and examples available at:https://github.com/YuragiMito/minis

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