ANAM as an Architectural Minimum: On the Criterion of Fundamentality and the Logical Impossibility of Superstructures

This paper develops an architectural analysis of minimal structures of distinguishability and formulates a strict criterion of fundamentality based on architectural self-sufficiency and the logical impossibility of superstructures. The ANAM architecture is examined as a formal model of minimal distinguishability, defined through the irreducible binary modality “what / how” and its necessary fractal unfolding into the components A/B and G/N. The analysis demonstrates that the removal or supplementation of any of these components destroys minimality and shifts the structure into a different architectural class. A universal criterion of fundamentality is introduced and applied without presupposing the ontological or theoretical status of ANAM. The criterion operates independently of disciplinary context and evaluates only formal architectural properties: minimality, self-sufficiency, and resistance to external superstructural extension. It is shown that architectures describing conditions of distinguishability and object-level theories belong to different categories of analysis and cannot be related by inclusion or subordination. ANAM is thereby positioned as an architectural layer of the condition of distinguishability, compatible with a wide range of theoretical frameworks while remaining neutral with respect to their substantive claims. The paper contributes to the formalization of architectural methodology and provides independent criteria for evaluating minimal generative structures in foundational research.