S⁴-Membrane Intelligence: A Universal-Layer–Pivot–Groupoid Architecture for Generative Structural AI

This work introduces an AI architecture where intelligence emerges from structural growth across a universal layer, pivot field, S⁴ membrane, and contact groupoid. Domain cones embed into this geometry, enabling reversible cross‑domain reasoning and higher‑order coherence formalized through 2‑categorical and ∞‑categorical dynamics.