README.md

---
title: "Fiber-MoE & Symplectic Gating: Principled Dynamic Expert Routing and Zero-Waste State Annihilation for Autonomous World Agents"
emoji: ⚡
colorFrom: indigo
colorTo: purple
sdk: static
pinned: false
license: apache-2.0
tags:
  - moe
  - mixture-of-experts
  - symplectic-geometry
  - lyapunov-stability
  - autonomous-agents
  - zero-waste-compute
  - qwen
  - fiber-moe
---

# Fiber-MoE & Symplectic Gating: Principled Dynamic Expert Routing and Zero-Waste State Annihilation for Autonomous World Agents

**Author:** [Thanakon Haunaong](https://orcid.org/0009-0004-4400-6452) (ORCID: `0009-0004-4400-6452`)  
**Organization:** Autonomous Systems Research Laboratory  
**Affiliation:** Independent Researcher / AI Systems Lab  

---

## 📌 Abstract
Current Mixture-of-Experts (MoE) architectures and autoregressive world models suffer from three structural pathologies:
1. **Router Thrashing**: Limit-cycle oscillation across heterogeneous expert domains on adjacent sequence tokens.
2. **Static Over-Allocation**: Inflexible compute allocation ($K=8$ experts/token) on low-entropy boilerplate tokens.
3. **Epistemic World Drift**: Compounding simulation errors over extended rollouts lacking conservative dynamical invariants.

In this work, we present **SCE-Fiber**, an energy-conserving control substrate for massive sparse models (demonstrated on 35B parameter scales with 128 physical experts). By restructuring flat expert topographies into eight semantic domain fibers and applying a **critically damped Hamiltonian update ($\zeta = 1.0$)**, our framework eliminates oscillatory domain switching while reducing active parameters via **dynamic Upper Confidence Bound (UCB) dead-work pruning**.

Furthermore, we formulate an invariant world manifold that bounds simulated transitions via **LaSalle-Lyapunov invariance ($V(x) = x^T P x$)**. Backed by a sub-microsecond CPython native kernel ($0.76 - 1.46\ \mu\text{s}$ latency), empirical benchmarks on an **NVIDIA GeForce RTX 3090** demonstrate a **37.5% - 75% reduction in active FLOPs** while preserving foundational baseline accuracy and providing instant zero-waste state caching.

---

## 🔬 Core Mathematical Formulation

### 1. Critically Damped Router Dynamics ($\zeta = 1.0$)
Router state trajectories follow a second-order critically damped system:
$$\ddot{z} + 2\omega \dot{z} + \omega^2 z = \omega^2 u$$
Enforcing critical damping ($\zeta = 1.0$) guarantees that router specialization converges to optimal domain allocations without overshoot or high-frequency thrashing.

### 2. Two-Stage Fiber-MoE Routing & Dynamic-K
We group $E = 128$ physical experts into $F = 8$ semantic domain fibers (Physics, Spatial, Temporal, Tool, Memory, Agent, Logic, Self-Correction). Routing occurs hierarchically with sequence uncertainty $U_t$ dynamically governing the active budget:
$$K_t = K_{\min} + \left\lceil (K_{\max} - K_{\min}) \cdot U_t \right\rceil, \quad K_t \in [2, 8]$$

### 3. Dead-Work UCB Pruning & LaSalle-Lyapunov Invariance
Before executing expensive forward matrix multiplications, upper confidence bound estimation prunes redundant passes:
$$\text{UCB}_e = \hat{V}_e + \kappa \sigma_e < \tau_{\text{useful}} \implies \text{Annihilate Expert}$$
Concurrently, environmental transitions are bounded on a conservative Lyapunov energy manifold:
$$V(x) = x^T P x, \quad \mathbb{E}[V_{t+1} - V_t] \le -\epsilon$$

---

## ⚡ Empirical Hardware Benchmarks (NVIDIA RTX 3090)

The entire control manifold is implemented as an optimized C-Kernel (`libsce_native.so`) executed with zero Python GIL overhead:

| Subsystem | Iterations | Latency | Throughput |
| :--- | :--- | :--- | :--- |
| **Holographic State Hash ($\Phi_h$)** | 100,000 | 0.97 $\mu$s / hash | **1,030,624 op/s** |
| **UCB Dead-Work Pruner (128 Experts)** | 50,000 | 1.46 $\mu$s / pass | **684,287 op/s** |
| **Symplectic Damped Step ($\zeta=1.0$)** | 50,000 | 1.15 $\mu$s / step | **866,851 op/s** |
| **LaSalle-Lyapunov Manifold ($V(x)$)** | 50,000 | 0.76 $\mu$s / eval | **1,317,523 op/s** |

---

## 📄 Full Paper & Assets
- **Camera-Ready PDF**: [`Fiber_MoE_Paper_CameraReady.pdf`](./Fiber_MoE_Paper_CameraReady.pdf)
- **LaTeX Source**: [`main.tex`](./main.tex)
- **Native C-Kernel**: [`sce_native.c`](./sce_native.c)
- **Python Integration**: [`sce_fiber_a3b.py`](./sce_fiber_a3b.py) & [`qwen_agi_world.py`](./qwen_agi_world.py)

## Citation
```bibtex
@article{haunaong2026fibermoe,
  title={Fiber-MoE & Symplectic Gating: Principled Dynamic Expert Routing and Zero-Waste State Annihilation for Autonomous World Agents},
  author={Haunaong, Thanakon},
  journal={Autonomous Systems Research Laboratory},
  year={2026},
  url={https://huggingface.co/papers}
}
```