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+ # ⚙️ RFT Adaptive Computing Kernel — Technical Notes (v1.0)
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+
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+ The **Rendered Frame Theory (RFT) Adaptive Computing Kernel** serves as a universal stability and noise-control framework designed for computational environments spanning **CPU, GPU, and TPU architectures**.
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+ It measures and adjusts harmonic balance parameters *(QΩ and ζ_sync)* across system workloads to maintain coherence even under fluctuating or high-noise conditions.
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+
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+ ---
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+
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+ ## 🧠 Core Purpose
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+ The kernel evaluates and self-adjusts processing stability by simulating perturbations within computational cycles.
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+ It applies Rendered Frame Theory’s harmonic laws to map **energy, timing, and coherence** between data operations.
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+
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+ Each run outputs:
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+ - **QΩ (Harmonic Stability):** Represents amplitude-based consistency across compute cycles.
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+ - **ζ_sync (Synchronization Coherence):** Represents phase-alignment and temporal coherence.
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+ - **Status:** `nominal`, `perturbed`, or `critical` depending on noise scale and recovery behavior.
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+
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+ ---
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+
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+ ## ⚡ Operational Domains
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+ The system supports multiple adaptive profiles:
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+ | Profile | Description |
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+ |----------|--------------|
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+ | **AI / Neural** | Evaluates drift under training noise, backpropagation irregularities, or floating-point jitter. |
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+ | **SpaceX / Aerospace** | Simulates vibration and latency perturbations found in avionics and telemetry systems. |
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+ | **Energy / RHES** | Models electrical grid fluctuations and frequency stabilization under dynamic loads. |
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+ | **Extreme Perturbation** | Pushes systems to their operational noise limits to identify breakdown thresholds. |
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+
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+ ---
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+
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+ ## 🧮 Internal Algorithmic Overview
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+ - **Adaptive Baseline:** Maintains a moving equilibrium between QΩ and ζ_sync to resist instability.
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+ - **Dynamic Weighting:** Each domain uses a tuned ratio of stability-to-coherence importance.
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+ - **Noise Injection:** Synthetic σ values (0.00–0.30) emulate hardware, data, or environmental perturbations.
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+ - **Bounded Validation:** All metrics capped at 0.99 to prevent saturation artifacts and false harmonics.
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+ - **Soft Learning Memory:** Gradual convergence toward prior equilibrium to simulate recovery intelligence.
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+
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+ ---
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+
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+ ## 🧰 Usage Notes
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+ 1. Select a **System Profile** and **Noise Distribution** (gauss/uniform).
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+ 2. Adjust the **Noise Scale (σ)** to simulate conditions.
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+ 3. Press **Run Simulation**.
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+ 4. Observe QΩ and ζ_sync behavior — repeated runs with constant σ show adaptive learning trends.
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+
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+ ---
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+
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+ ## 📊 Interpretation Summary
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+ | Status | Description | Typical QΩ Range | ζ_sync Range |
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+ |---------|--------------|------------------|--------------|
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+ | **Nominal** | Stable harmonic equilibrium | 0.82–0.89 | 0.75–0.88 |
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+ | **Perturbed** | Transitional adaptive response | 0.79–0.84 | 0.70–0.82 |
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+ | **Critical** | Instability threshold reached | <0.78 | <0.70 or >0.90 |
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+
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+ ---
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+
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+ ## 🔐 Legal & Verification
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+ All metrics are generated within sealed internal algorithms protected under **RFT-IPURL v1.0** (UK/Berne Convention).
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+ SHA-512 timestamps are applied to safeguard integrity and originality of simulation logic.
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+
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+ **Author:** Liam Grinstead
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+ **Affiliation:** Rendered Frame Theory Systems (RFTSystems)
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+ **DOI:** [https://doi.org/10.5281/zenodo.17466722](https://doi.org/10.5281/zenodo.17466722)
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+ **License:** RFT-IPURL v1.0 — Research validation use only.