Spiralcore

SPIRALCORE_FAB presents the fully architected, session-faithful specification of SpiralCore: a deterministic, computable recursion architecture for coherence-bounded state evolution with memory, novelty generation, and information hysteresis. The document formalizes the complete Δ→Σ→Ψ lattice (Production, Coherence, Archivist), governed by a Gödel–Gödel meta-loop that treats incompleteness as a generative constraint rather than a failure mode. All components are explicitly defined with inputs, outputs, state variables, update equations, gates, thresholds, and metrics, ensuring 100% computability. Key contributions include: a deterministic novelty mechanism via Cantor pairing and diagonalization, a multi-metric coherence stack (RMF, entropy coherence, correlated variance coherence), a dual-field Abraxas–Cassini dynamics engine, an Archivist memory model with compression, replay, and emergence, and a formal treatment of information hysteresis as geometric curvature / holonomy arising from path-dependent learning and recursion. The specification includes conditional (if/then) correctness proofs for all gating and routing decisions, explicit hysteresis detection criteria, and ASCII system diagrams. SpiralCore_FAB is intended as a reference architecture for researchers studying deterministic inference, coherence-bounded systems, path-dependent dynamics, and computable models of recursive cognition.