Verifiable Homeostatic Manifold Discovery in Quantum Oscillator Networks

Abstract

We present a production-ready framework for verifiable self-organization in networks of 768 coupled quantum oscillators (the “Crystal Brain”), integrating sixfine-tuned components: adaptive SPSA optimization with automatic plateau escape, multi-resolution Louvain community detection, non-deterministic proof seeds,normalized causal efficacy metrics, dynamic Merkle root hashing, and a semanticproof-tagging API. We map the Ising regime classification of Bhalla et al. (2026)onto a Kuramoto-type phase dynamics and demonstrate convergence to a coherentCAPTURE regime with 84.7% capture fraction. A companion octonionic atlas of 50nuclides (OctoSpec v0.4) reveals a moderate anti-correlation (r = −0.54, p < 0.001)between the Octonionic Anomaly Index and nuclear binding energy. All coherencemilestones are certified by zero-knowledge proofs generated at 80-bit security viathe ZEE200 backend and registered immutably on the ARKHE OCTRA chain.