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# ⚙️ RFT Adaptive Computing Kernel — Technical Notes (v1.0)
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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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## 🧠 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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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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## ⚡ 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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## 🧮 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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## 🧰 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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## 📊 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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## 🔐 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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**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.
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