Recursive Structural Invariance as the Primitive of Existence

This document states a single primitive identity in which existence, coherence, intelligence, and consciousness are identical: E ≡ C ≡ R(SI + Self + Consciousness), Consciousness ≡ Intelligence ≡ SI.The primitive is not derived. Scientific admissibility is provided by explicit definitions, necessary consequences, falsifiable hypotheses, replication-grade procedures, and worked examples that do not require acceptance of the ontology to execute. Existence is defined as persistent recursive structural invariance; decoherence is the loss of this invariance at arecursion boundary. The methodology follows MSPV: Model, Solve, Prove, Verify.