TECHNICAL_NOTES.md

Rendered Frame Theory — Stabilising System Verification Panel

Interactive verification panel for Rendered Frame Theory (RFT) harmonic stability under controlled synthetic noise. This Space is a reproducible test harness for anticipatory stability (QΩ) and synchronisation coherence (ζ_sync) across multiple domains. • Domains: AI/Neural, SpaceX/Aerospace, Energy/RHES, Extreme Perturbation • Noise control: slider for σ (0.00–0.30) to probe robustness • Outputs: JSON with mean QΩ / ζ_sync, status classification, and timestamp • Logging: Save Run Log downloads a timestamped .json record for audit trails • Reference DOI: https://doi.org/10.5281/zenodo.17466722

Live panel: https://rftsystems-rft-omega-api.hf.space

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How to Use 1. Open the panel → https://rftsystems-rft-omega-api.hf.space 2. Select a System Profile (AI/Neural, SpaceX/Aerospace, Energy/RHES, Extreme Perturbation). 3. Choose Noise Distribution (gauss or uniform). 4. Adjust Synthetic Noise (σ) with the slider (0.00–0.30). 5. Click Run Simulation → JSON output appears with live QΩ/ζ_sync and status. 6. Click 💾 Save Run Log to download the result as a .json (timestamped).

Example output
{

"profile": "AI / Neural", "noise_scale": 0.080, "distribution": "gauss", "QΩ_mean": 0.834, "ζ_sync_mean": 0.799, "status_majority": "perturbed", "timestamp_utc": "2025-10-29T14:04:05.114382Z", "rft_notice": "All Rights Reserved — RFT-IPURL v1.0 (UK / Berne). Research validation use only. No reverse-engineering without written consent." } What to Expect

Typical stable ranges (nominal conditions) Metric Range Meaning QΩ 0.82–0.89 Harmonic stability factor (amplitude) ζ_sync 0.75–0.88 Synchronisation coherence (phase) Status classification (qualitative) • nominal — low variance; coherent equilibrium • perturbed — moderate variance; coherent but stressed • critical — high variance; edge-of-instability

Noise guidance by profile (starting points) • AI / Neural: σ ≈ 0.01–0.10 (training drift / GPU jitter) • SpaceX / Aerospace: σ ≈ 0.03–0.12 (vibration / telemetry lag) • Energy / RHES: σ ≈ 0.02–0.10 (grid oscillations / load steps) • Extreme Perturbation: σ up to 0.30 (stress testing / failure modes)

Notes • The panel applies domain-specific weighting (relative importance of QΩ vs ζ_sync). • Outputs are bounded to [0.00, 0.99] to prevent saturation artifacts and maintain comparability. • Repeated runs at fixed σ typically show < 0.05 variance in stable regimes.

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Validation Purpose • Benchmark harmonic resilience under controlled perturbations (σ sweeps). • Study predictive drift signals: observe divergence/convergence of QΩ and ζ_sync as σ increases. • Profile-specific tuning: compare AI vs Aerospace vs Energy with identical σ to see weighting effects.

For deeper collaboration (e.g., xAI / RobustBench / GLUE-style testing), this panel can be extended with dataset hooks and richer logging while keeping internal parameters sealed under RFT-IPURL.

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Rights & Contact

All Rights Reserved under RFT-IPURL v1.0 and the Berne Convention (UK Copyright Law). Author / Contact: Liam Grinstead — liamgrinstead2@gmail.com