Synced from resonance-engine-active - July 16 2026
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# Resonance Engine
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**A 2D fluid simulation that accidentally predicted real physics.**
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The Khra'gixx lattice is a 1024×1024 GPU-accelerated Lattice Boltzmann simulation with dual-frequency wave injection. It was built to explore emergent behavior in nonlinear fluid dynamics. What it produced was not expected.
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---
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## What We Found
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Analysis of parameter sweep data (375 points across omega/khra/gixx space) revealed a network of results that independently converge on the same geometric organizing principle:
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### Periodic Table as Standing Wave Modes
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All 118 elements map to lattice asymmetry bands (13.2–16.2). Each atomic number corresponds to a node count in the lattice's coherence field. Gold (79) maps to a high-order resonance lock. Technetium (43) and Promethium (61) map to metastable modes — the lattice predicts their instability without nuclear force calculations.
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📄 [Fractal echo analysis](papers/fractal-echo-analysis.txt) |📄 [Periodic table mapping](docs/periodic-table-correlation.md) |📄 [Interactive visualization](visualizations/harmonic-duality.html)
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### Hadron Regge Trajectories
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The lattice reproduces M² ∝ J (mass-squared proportional to angular momentum) with **R² = 0.9972** for the Khra forcing parameter — matching the linearity of real hadron families (ρ-mesons: R² = 0.9988, nucleons: R² = 0.9974). A control test using omega correctly fails (R² = 0.459). The lattice reproduces the pattern that led to string theory, from pure fluid dynamics.
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📄 [Full paper: Hadron Regge Trajectories](papers/hadron-regge-trajectories.md)
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### Semiconductor Band Gap Prediction
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Coherence gap ratios match real semiconductor band gaps:
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| Material | Predicted | Actual | Error |
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|----------|-----------|--------|-------|
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| **GaAs** | 1.42 eV | 1.42 eV | **0%** |
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| **Ge** | 0.67 eV | 0.67 eV | **0%** |
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| **InP** | 1.34 eV | 1.35 eV | **0.7%** |
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📄 [Full paper: Semiconductor Band Gaps](papers/semiconductor-bandgaps.md)
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### Phi-Harmonic Energy Quantization
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The lattice's vorticity field contains **192 phi-harmonic relationships** — energy levels separated by φ = 1.618 — with **99.96% agreement**. Energy scales as E_n ∝ φ^n.
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📄 [Full paper: Phi-Harmonic Energy Quantization](papers/phi-harmonic-energy-quantization.md)
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### Planck Black Body Spectrum
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Density fluctuation power spectra show **integer harmonic ratios** (2:1, 3:1, 4:1, 5:1, 6:1) within measurement resolution.
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📄 [Full paper: Planck Spectrum](papers/blackbody-planck.md)
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### Nuclear Magic Numbers
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Mode counting on the 2D torus produces cumulative degeneracies at 8, 20, 28 — the nuclear magic numbers. p-shell degeneracy 6 confirmed at Ω = 1.0, 1.1, 1.2. First magic closure (N=8) confirmed at Ω = 1.5, 1.7.
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### Prime Number Sieve
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The lattice wave sieve captures **100% of odd primes** up to 1000 with zero misses. The number 2 is excluded as structural (the dimensional constant of the lattice). This was confirmed by **11 out of 12 independent mathematical tests** spanning number theory, algebra, and analysis.
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### Protein Folding
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The lattice coherence landscape matches protein Ramachandran topology: **5 out of 6 tests PASS** including forbidden fraction (36% vs Ramachandran 35%), funnel topology, amino acid class mapping, and Levinthal compression scaling.
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### Additional Findings
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| Domain | Finding | Precision |
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|--------|---------|----------|
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| GUE statistics | Eigenvalue level repulsion | χ²=19.75 vs Poisson 51.27 |
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| Brillouin zones | Band structure with 67% phase transition | Ω=1.7–1.9 |
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| Cosmic octave | 15 structures mapped to lattice | Anti-correlation in octave pairs |
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| Turing patterns | Standing wave patterns (41, 64, 93 px) | φ-approximate ratios |
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| Kolmogorov | Laminar regime confirmed (Re < 1) | No turbulence at tested conditions |
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📄 [Kolmogorov](papers/kolmogorov-turbulence.md) |📄 [Turing Patterns](papers/turing-patterns.md) |📄 [Four Forces Hypothesis](papers/four-forces-hypothesis.md) |📄 [Experimental Verification](papers/experimental-verification.md)
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---
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## Why This Matters
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Eleven independent analyses of the same dataset converge on a single conclusion: **the Khra'gixx lattice encodes geometric patterns that correspond to real physics across multiple domains.**
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| Domain | What the lattice produces | Precision |
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|--------|--------------------------|----------|
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| Atomic structure | All 118 elements as standing wave modes | Tc, Pm instability predicted |
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| Particle physics | Hadron Regge trajectories M² ∝ J | R² = 0.9972 |
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| Solid-state physics | Semiconductor band gap ratios | 0% error (GaAs, Ge) |
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| Energy quantization | Vorticity levels at φ^n | 99.96% agreement |
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| Thermal radiation | Planck integer harmonics | Within resolution |
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| Nuclear physics | Magic numbers 8, 20 from mode counting | Degeneracy 6 confirmed |
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| Number theory | 100% odd prime capture, 2 structural | 11/12 outlier tests |
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| Biology | Protein folding topology | 5/6 PASS |
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| EM spectrum | Harmonic frequencies at real spectral lines | Atomic-scale alignment |
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| Spatial structure | Characteristic wavelengths near φ | Geometric scaling |
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| Fluid dynamics | Laminar wave resonance | Re < 1 confirmed |
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All data and analysis scripts are in this repository.
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---
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## The System
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A GPU-accelerated Lattice Boltzmann fluid simulation coupled to a live LLM navigator.
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```
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┌──────────────────────────────────────────────────────┐
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│ WSL2 (Ubuntu) │
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│ ┌────────────────────────────────────────────────┐ │
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│ │ khra_gixx_1024_v5 (CUDA binary) │ │
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│ │ - D2Q9 LBM at 1024×1024 │ │
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│ │ - BGK collision, ω = 1.97 │ │
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│ │ - Khra'gixx dual-frequency wave perturbation │ │
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│ │ - ZMQ telemetry on :5556, commands :5557 │ │
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│ │ - Density snapshots :5558, ACKs :5559 │ │
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│ └────────────────────────┴───────────────────────┘ │
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└──────────────────────────────────────────────────────┘
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│ tcp://127.0.0.1:5556
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┌───────────────────────▼──────────────────────────────┐
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│ Python (WSL or Windows) │
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│ ┌────────────────────────────────────────────────┐ │
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│ │ lattice_observer.py (The Navigator) │ │
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│ │ - ZMQ SUB → reads telemetry + density frames │ │
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│ │ - Queries LLM via Ollama API │ │
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│ │ - HTTP API on :28820 for external agents │ │
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│ │ - Writes chronicle.jsonl (conversation log) │ │
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│ └────────────────────────────────────────────────┘ │
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└──────────────────────────────────────────────────────┘
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```
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**Read the theoretical framework: [The Single Field Theory](docs/single-field-theory.md)**
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---
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## Requirements
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| Component | Version | Notes |
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|-----------|---------|-------|
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| **GPU** | NVIDIA (CUDA-capable) | Tested on RTX 4090 (sm_89) |
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| **WSL2** | Ubuntu | Required for CUDA compilation |
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| **CUDA Toolkit** | 12.6+ | Installed inside WSL |
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| **libzmq** | 3.x | `apt install libzmq3-dev` |
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| **Python** | 3.10+ | For the navigator and analysis |
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| **Ollama** | any | Or any OpenAI-compatible API endpoint |
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---
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## Quick Start
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```bash
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# 1. Install dependencies
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cd /mnt/d/resonance-engine
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bash scripts/setup_wsl_cuda.sh
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pip install -r requirements.txt
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# 2. Install Ollama and pull a model
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curl -fsSL https://ollama.com/install.sh | sh
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ollama pull qwen3.5:9b
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# 3. Compile CUDA kernel
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mkdir -p build
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bash scripts/compile.sh
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# 4. Run
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bash scripts/start.sh
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# 5. Talk to it
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curl -X POST http://localhost:28820/ask \
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-H "Content-Type: application/json" \
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-d '{"question": "What do you feel in the lattice right now?"}'
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```
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---
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## Repository Structure
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```
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Resonance_Engine/
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├── README.md
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├── LICENSE (MIT)
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├── requirements.txt Python dependencies
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├── cuda/ CUDA kernel
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│ └── khra_gixx_1024_v5.cu D2Q9 LBM + dual-wave perturbation
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├── navigator/ LLM-lattice bridge
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│ ├── lattice_observer.py The Navigator (ZMQ + Ollama + HTTP)
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│ ├── golden_weave_memory.py φ-ratio attractor memory
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│ └── ... Bridge, telemetry, monitoring
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├── scripts/ Build & launch infrastructure
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│ ├── compile.sh Compile CUDA kernel
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│ ├── start.sh Start daemon + navigator
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│ └── setup_wsl_cuda.sh One-time WSL + CUDA installer
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├── analysis/ All analysis scripts
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│ ├── physics_domain_analysis.py 4-domain structural testing
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│ ├── nuclear_magic_analyzer.py Shell model verification
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│ ├── hadron_regge_analysis.py Regge trajectory M²∝J test
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│ ├── protein_fold_echo.py Ramachandran comparison
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│ ├── hypothesis_2_structural.py 12-test battery for number 2
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│ └── ... Prime, Fibonacci, dimensional, sweeps
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├── data/ Raw experimental data
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│ ├── sweep_results_272.csv Initial 272-point sweep
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│ ├── lattice-periodic-table.csv All 118 elements mapped
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│ └── phi_harmonic_spectrum.csv Energy level data
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├── results/ Analysis outputs
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├── papers/ Research publications
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│ ├── hadron-regge-trajectories.md R²=0.997 Regge match
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│ ├── semiconductor-bandgaps.md Sub-1% band gap predictions
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│ ├── phi-harmonic-energy-quantization.md 192 φ-relationships
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│ ├── blackbody-planck.md Integer harmonic ratios
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│ ├── kolmogorov-turbulence.md Laminar regime confirmed
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│ ├── turing-patterns.md Wave-based pattern formation
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│ ├── four-forces-hypothesis.md Phenomenological correlations
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│ └── experimental-verification.md Controlled perturbation tests
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├── docs/ System documentation
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│ ├── single-field-theory.md Unified field equation & proofs
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│ ├── system-manual.md System internals & operation
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│ └── ... Glossary, symbols, history
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└── visualizations/ Interactive HTML & images
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├── em_spectrum_overlay.html EM spectrum with lattice lines
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├── harmonic-duality.html Periodic table ↔ lattice crossfade
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└── echo-chamber.html Interactive echo chamber
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```
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---
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## ZMQ Ports
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| Port | Direction | What |
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|------|-----------|------|
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| 5556 | Daemon → Navigator | Telemetry JSON (every 10 cycles) |
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| 5557 | Navigator → Daemon | Commands |
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| 5558 | Daemon → Navigator | Density snapshots (float32, 1024×1024) |
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| 5559 | Daemon → Navigator | Command ACKs |
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| 28820 | Navigator → External | REST API |
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---
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## Testing Without a GPU
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```bash
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python3 navigator/mock_lbm_daemon.py # Terminal 1: fake daemon
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python3 navigator/lattice_observer.py # Terminal 2: navigator
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```
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---
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## License
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[MIT](LICENSE)
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