FEIK Protocol v2.1: A Typed Evaluation Method for Observation Algebras, Structural Analysis, and Isomorphic Translation

The FEIK Protocol v2.1 is a typed evaluation method for analysing claims, phenomena, systems, and structural translations across epistemic domains. It combines phenomenological structural analysis, observation algebras, isomorphic translation, category-error detection, projection stability, and internal ethical typification into a single operational framework. The protocol is grounded in the triadic model F = E × I × K, where F denotes phenomenal intensity, E denotes energy or operational drive, I denotes information or structural content, and K denotes connection. The core claim is that every evaluation occurs inside an observation algebra. If typing conditions fail, the protocol returns reconstruction or ∅. The protocol is also applicable to language-model evaluation and AI-assisted reasoning: model outputs can be passed through the Φ-gate, Γ-reconstruction procedure, observation-algebra typing, and H-condition to test whether they are operationally grounded, domain-confused, ethically malformed, overconfident, reconstructable, or properly silent. FEIK v2.1 was developed in parallel with Black Hole Core, a transmedia music-theory project comprising more than forty AI-assisted albums and related lyrical, mythic, visual, and theoretical materials. This catalogue functions as a practical laboratory for testing isomorphic translation, observation-algebra shifts, and the movement of structural concepts between art, theory, and public discourse. The mathematical notation used in FEIK is not uniformly computational. Some expressions are operational formulas, some are diagnostic schemata, and some are structural heuristics. The notation is intended to clarify relations between variables, not to imply numerical precision where no measurement protocol has been defined. A FEIK expression becomes quantitatively evaluable only when its variables are operationalised within a specified domain, instrument, observer position, and scale. Without such operationalisation, the formula functions as a typed structural grammar rather than a measurement equation. The protocol does not claim to produce absolute truth. It formalises a disciplined refusal to answer malformed questions, preserving structural coherence while allowing for irreducible uncertainty: 87% is sufficient; the rest is snow.