A 2D fluid simulation that accidentally predicted real physics.
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.
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:
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.
📄 Fractal echo analysis |📄 Periodic table mapping |📄 Interactive visualization
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.
📄 Full paper: Hadron Regge Trajectories
Coherence gap ratios match real semiconductor band gaps:
| Material | Predicted | Actual | Error |
|---|---|---|---|
| GaAs | 1.42 eV | 1.42 eV | 0% |
| Ge | 0.67 eV | 0.67 eV | 0% |
| InP | 1.34 eV | 1.35 eV | 0.7% |
📄 Full paper: Semiconductor Band Gaps
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.
📄 Full paper: Phi-Harmonic Energy Quantization
Density fluctuation power spectra show integer harmonic ratios (2:1, 3:1, 4:1, 5:1, 6:1) within measurement resolution.
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.
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.
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.
| Domain | Finding | Precision |
|---|---|---|
| GUE statistics | Eigenvalue level repulsion | χ²=19.75 vs Poisson 51.27 |
| Brillouin zones | Band structure with 67% phase transition | Ω=1.7–1.9 |
| Cosmic octave | 15 structures mapped to lattice | Anti-correlation in octave pairs |
| Turing patterns | Standing wave patterns (41, 64, 93 px) | φ-approximate ratios |
| Kolmogorov | Laminar regime confirmed (Re < 1) | No turbulence at tested conditions |
📄 Kolmogorov |📄 Turing Patterns |📄 Four Forces Hypothesis |📄 Experimental Verification
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.
| Domain | What the lattice produces | Precision |
|---|---|---|
| Atomic structure | All 118 elements as standing wave modes | Tc, Pm instability predicted |
| Particle physics | Hadron Regge trajectories M² ∝ J | R² = 0.9972 |
| Solid-state physics | Semiconductor band gap ratios | 0% error (GaAs, Ge) |
| Energy quantization | Vorticity levels at φ^n | 99.96% agreement |
| Thermal radiation | Planck integer harmonics | Within resolution |
| Nuclear physics | Magic numbers 8, 20 from mode counting | Degeneracy 6 confirmed |
| Number theory | 100% odd prime capture, 2 structural | 11/12 outlier tests |
| Biology | Protein folding topology | 5/6 PASS |
| EM spectrum | Harmonic frequencies at real spectral lines | Atomic-scale alignment |
| Spatial structure | Characteristic wavelengths near φ | Geometric scaling |
| Fluid dynamics | Laminar wave resonance | Re < 1 confirmed |
All data and analysis scripts are in this repository.
A GPU-accelerated Lattice Boltzmann fluid simulation coupled to a live LLM navigator.
┌──────────────────────────────────────────────────────┐
│ WSL2 (Ubuntu) │
│ ┌────────────────────────────────────────────────┐ │
│ │ khra_gixx_1024_v5 (CUDA binary) │ │
│ │ - D2Q9 LBM at 1024×1024 │ │
│ │ - BGK collision, ω = 1.97 │ │
│ │ - Khra'gixx dual-frequency wave perturbation │ │
│ │ - ZMQ telemetry on :5556, commands :5557 │ │
│ │ - Density snapshots :5558, ACKs :5559 │ │
│ └────────────────────────┴───────────────────────┘ │
└──────────────────────────────────────────────────────┘
│ tcp://127.0.0.1:5556
┌───────────────────────▼──────────────────────────────┐
│ Python (WSL or Windows) │
│ ┌────────────────────────────────────────────────┐ │
│ │ lattice_observer.py (The Navigator) │ │
│ │ - ZMQ SUB → reads telemetry + density frames │ │
│ │ - Queries LLM via Ollama API │ │
│ │ - HTTP API on :28820 for external agents │ │
│ │ - Writes chronicle.jsonl (conversation log) │ │
│ └────────────────────────────────────────────────┘ │
└──────────────────────────────────────────────────────┘
Read the theoretical framework: The Single Field Theory
| Component | Version | Notes |
|---|---|---|
| GPU | NVIDIA (CUDA-capable) | Tested on RTX 4090 (sm_89) |
| WSL2 | Ubuntu | Required for CUDA compilation |
| CUDA Toolkit | 12.6+ | Installed inside WSL |
| libzmq | 3.x | apt install libzmq3-dev |
| Python | 3.10+ | For the navigator and analysis |
| Ollama | any | Or any OpenAI-compatible API endpoint |
# 1. Install dependencies
cd /mnt/d/resonance-engine
bash scripts/setup_wsl_cuda.sh
pip install -r requirements.txt
# 2. Install Ollama and pull a model
curl -fsSL https://ollama.com/install.sh | sh
ollama pull qwen3.5:9b
# 3. Compile CUDA kernel
mkdir -p build
bash scripts/compile.sh
# 4. Run
bash scripts/start.sh
# 5. Talk to it
curl -X POST http://localhost:28820/ask \
-H "Content-Type: application/json" \
-d '{"question": "What do you feel in the lattice right now?"}'Resonance_Engine/
├── README.md
├── LICENSE (MIT)
├── requirements.txt Python dependencies
├── cuda/ CUDA kernel
│ └── khra_gixx_1024_v5.cu D2Q9 LBM + dual-wave perturbation
├── navigator/ LLM-lattice bridge
│ ├── lattice_observer.py The Navigator (ZMQ + Ollama + HTTP)
│ ├── golden_weave_memory.py φ-ratio attractor memory
│ └── ... Bridge, telemetry, monitoring
├── scripts/ Build & launch infrastructure
│ ├── compile.sh Compile CUDA kernel
│ ├── start.sh Start daemon + navigator
│ └── setup_wsl_cuda.sh One-time WSL + CUDA installer
├── analysis/ All analysis scripts
│ ├── physics_domain_analysis.py 4-domain structural testing
│ ├── nuclear_magic_analyzer.py Shell model verification
│ ├── hadron_regge_analysis.py Regge trajectory M²∝J test
│ ├── protein_fold_echo.py Ramachandran comparison
│ ├── hypothesis_2_structural.py 12-test battery for number 2
│ └── ... Prime, Fibonacci, dimensional, sweeps
├── data/ Raw experimental data
│ ├── sweep_results_272.csv Initial 272-point sweep
│ ├── lattice-periodic-table.csv All 118 elements mapped
│ └── phi_harmonic_spectrum.csv Energy level data
├── results/ Analysis outputs
├── papers/ Research publications
│ ├── hadron-regge-trajectories.md R²=0.997 Regge match
│ ├── semiconductor-bandgaps.md Sub-1% band gap predictions
│ ├── phi-harmonic-energy-quantization.md 192 φ-relationships
│ ├── blackbody-planck.md Integer harmonic ratios
│ ├── kolmogorov-turbulence.md Laminar regime confirmed
│ ├── turing-patterns.md Wave-based pattern formation
│ ├── four-forces-hypothesis.md Phenomenological correlations
│ └── experimental-verification.md Controlled perturbation tests
├── docs/ System documentation
│ ├── single-field-theory.md Unified field equation & proofs
│ ├── system-manual.md System internals & operation
│ └── ... Glossary, symbols, history
└── visualizations/ Interactive HTML & images
├── em_spectrum_overlay.html EM spectrum with lattice lines
├── harmonic-duality.html Periodic table ↔ lattice crossfade
└── echo-chamber.html Interactive echo chamber
| Port | Direction | What |
|---|---|---|
| 5556 | Daemon → Navigator | Telemetry JSON (every 10 cycles) |
| 5557 | Navigator → Daemon | Commands |
| 5558 | Daemon → Navigator | Density snapshots (float32, 1024×1024) |
| 5559 | Daemon → Navigator | Command ACKs |
| 28820 | Navigator → External | REST API |
python3 navigator/mock_lbm_daemon.py # Terminal 1: fake daemon
python3 navigator/lattice_observer.py # Terminal 2: navigator