RFT — Toy Harmonic Demonstrator (Colab): QΩ Stability & Pre-emptive Trigger Record

This record documents a simplified, non-proprietary demonstration of harmonic self-stabilisation within the Rendered Frame Theory (RFT) framework. Synthetic data are used to visualise mean-field QΩ behaviour and ζ_sync variance triggers under noise and periodic shocks. Results show anticipatory correction and sustained coherence across simulated domains (Starship, Starlink, RHES, Neural). All files are timestamped and sealed with SHA-512 verification. This Zenodo record documents and preserves the RFT-Ω Harmonic Validation Interface (v3) — a live, interactive demonstrator of the Rendered Frame Theory (RFT) kernel hosted on Hugging Face Spaces. The interface simulates harmonic stability (QΩ) and synchronisation coherence (ζ_sync) across multiple domains, each subject to controlled synthetic noise. It serves as an open test harness for anticipatory stability, drift prediction, and noise resilience within the RFT-Ω kernel. Key Features Interactive profiles: AI/Neural, SpaceX/Aerospace, Energy/RHES, and Extreme Perturbation. Adjustable synthetic noise (σ): Users can vary noise from 0.00–0.30 to test resilience. Adaptive baselines: A light “memory” mechanism allows gradual self-stabilisation across runs. Domain-specific weighting: Each profile balances QΩ vs ζ_sync based on operational priorities. Range validation: Values are bounded (≤ 0.99) to eliminate saturation artifacts. Purpose This live kernel bridges theoretical RFT work with reproducible empirical validation, allowing external research and engineering teams (e.g., xAI, SpaceX, NASA, RobustBench, GLUE) to: Benchmark RFT harmonic stability under controlled perturbations. Analyse QΩ / ζ_sync variance as predictive drift signals. Compare performance across domains and noise levels. Validate low-variance behaviour and adaptive recovery. Reference Implementation Hugging Face Space: https://rftsystems-rft-omega-api.hf.space Typical outputs: {"System":"AI / Neural","Noise Scale":0.05,"QΩ":0.922,"ζ_sync":0.798,"status":"perturbed"} For collaboration or validation requests, contact: Liam Grinstead — [e-mail] © 2025 Liam Grinstead | All Rights Reserved under RFT-IPURL v1.0, the Berne Convention (Paris Act 1971), and the UK Copyright, Designs and Patents Act 1988.