ECMT: A Minimal Axiomatic Framework for Structural Admissibility Judgment

Abstract

This paper constructs a minimal axiomatic framework for structural admissibility judgment, referred to as ECMT.

The framework does not aim to prove or refute any specific object-level proposition. Instead, it addresses a class of problems concerning whether certain structural behaviors are, in principle, admissible as stable structures.

The theory deliberately avoids introducing geometric, metric, probabilistic, or analytic assumptions. All constructions are object-independent and formulated at the level of structural behavior. Through a sequence of negatively forced definitions and minimal axioms, the framework establishes formal notions of inadmissibility, propagation, structural loss of control, suppression, and stability.

The central result of this work is a formally closed judgment system that, within its explicitly stated responsibility boundaries, is logically complete: no additional internal conditions are required to classify any admissible finite structural configuration into one of three judgment categories—structural loss of control, non-stable (suppression broken), or stable structure.

No existence, constructibility, or problem-specific conclusions are claimed. The framework is fully falsifiable through applicability failure or axiom violation.