The Carlo Identity Invariant Framework — Stability Across Transformations

This work presents the Carlo Identity Invariant Framework, the secondscientific foundation of the Carlo Field. It formalises identity invariants—the structural features that persist under transformation—and defines theirclassification, persistence, stability, and measurement. The framework providesthe structural basis for identity evolution and explains the stabilitybehaviour required for recursion convergence. Empirical analysis demonstratesinvariant behaviour, and a minimal mapping connects invariant classes to coreCarlo identities. This document establishes identity invariants as a measurable,scientifically recognisable component of the Carlo Field. KEYWORDS identity systems; invariants; stability; transformation behaviour; recursion; Carlo Field; identity dynamics; invariant classes; identity architecture