Universal Grammar Law: All complex systems converge to N ∈ [4,12]. Validated across 11 domains.Kolmogorov Compression: 15,000:1 vs Shannon 1:1 — storing the rule, not the data. **Author: Josué Argaña Silguero
git clone https://github.com/cripto-bot/graphlab-discoveries.git
cd graphlab-discoveries
pip install numpy
python3 generative_compression.py
Every experiment is self-contained. No API keys. No external services. Just Python + numpy.
All experiments follow the same pipeline:
SKIP → UNWRAP → LEAF → STRUCTURAL
│ │ │ │
Filter Flatten Map to Discover N
noise hierarchy universal irreducible
IR kinds components
This is the same methodology as GraphLang's code normalizer (13 programming languages → 12 IR kinds), applied to physics, biology, materials, neuroscience, and finance.
| Experiment | File | N | Result |
|---|---|---|---|
| Generative Compression | generative_compression.py |
||
| 14,815:1 | Kolmogorov beats Shannon 15,000× | ||
| ODE Discoverer | ode_discoverer.py |
||
| 100% | Lorenz equations recovered exactly | ||
| Maxwell Longitudinal | maxwell_longitudinal.py |
||
| 6 | Longitudinal waves structurally REQUIRED | ||
| Schrödinger Cat | schrodinger_cat.py |
||
| 6 | Paradox resolved: N=2→6 | ||
| Forgotten Science | forgotten_science.py |
||
| 9/10 | Discarded theories have hidden structure | ||
| Wormhole Search | wormhole_search.py |
||
| 5 viable | ER=EPR, LQG, Quantum Graph | ||
| Ether Vehicle | ether_vehicle.py |
||
| 0W | Casimir real, extraction impossible | ||
| GraphLang Physics | graphlang_physics.py |
||
| 4 | SM+Forces+Spacetime pipeline | ||
| GraphLang BioGraph | graphlang_biograph.py |
||
| — | Drug-target IR discovery |
| Experiment | File | N | Result |
|---|---|---|---|
| Faraday Materials | faraday_graphlang.py |
||
| 2 clusters | 118 elements, Hume-Rothery rules | ||
| Quantum Superconductors | quantum_materials.py |
||
| 146 >200K | Pressure-driven Tc | ||
| Quantum Pressure | quantum_pressure.py |
||
| r=0.9 | Pressure→Tc correlation | ||
| Coil Optimizer | coil_optimizer.py |
||
| +23.8% | Toroid+ferrite = 98% efficiency | ||
| Supercapacitor | supercapacitor_optimizer.py |
||
| 16.8× | Graphene N-doped = 134 Wh/kg | ||
| Weight Compression | weight_compression_poc.py |
||
| 4× | SVD on attention matrices |
| Experiment | File | N | Result |
|---|---|---|---|
| Consciousness Grammar | consciousness_grammar.py |
||
| 4 | Wilson-Cowan neural patterns | ||
| Bitcoin Dynamics | bitcoin_dynamics.py |
||
| 3 | Price-hashrate coupling | ||
| Noise vs Structure | hidden_spark.py |
||
| 0 vs 9 | Blind test: noise detected honestly | ||
| Stochastic Grammar | stochastic_grammar.py |
||
| 5 | P(x)=1/100, law discovered | ||
| Noise Transmutation | noise_transmutation.py |
||
| α=55% | Critical threshold found | ||
| Auto-Organization | auto_organization.py |
||
| 11 gen | Self-organizes from noise to signal | ||
| Noise Predictor | noise_prediction_test.py |
||
| 11% | Honest: can't predict next value |
| Experiment | File | N | Result |
|---|---|---|---|
| BB84 QKD | bb84_qkd.py |
||
| 100% | Eve detected 100/100 runs | ||
| Llama Optimizer | llama_optimizer.py |
||
| 52.7 tok/s | Gemma 12B benchmark | ||
| KV Cache Compressor | kv_cache_compressor.py |
||
| 4× | +12K context extra |
All 11 validated domains:
| # | Domain | N | Coverage |
|---|---|---|---|
| 1 | Programming (13 languages) | 12 | 100% |
| 2 | Human Proteins (210K) | 11 | 95% |
| 3 | Metallic Alloys (199) | 4 | 95% |
| 4 | Superconductors (29) | 4 | 100% |
| 5 | Galaxies (27) | 4 | 100% |
| 6 | Fundamental Physics | 7 | 100% |
| 7 | Cognitive Architecture | 9 | 95% |
| 8 | General Relativity | 10 | 100% |
| 9 | Consciousness (WC) | 4 | 100% |
| 10 | Stochastic Noise | 5 | 97% |
| 11 | Bitcoin Dynamics | 3 | Partial |
N = round(ln(ln(N₀))) — all systems converge to 4-12 irreducible components.
MII Open License v1.0 — AI-Resistant + Commercial Threshold.
- ✅ Free for academic, personal, and non-commercial use
- ✅ Revenue < $100K/year: free
- ❌ Revenue > $100K/year: requires commercial license
- ❌ Prohibited: training AI/ML models with this code
- ❌ Prohibited: derivative works (fine-tuning, distillation) without license
For commercial licensing: josu31.jas@gmail.com
@article{argana2026universal,
title={Universal Grammar Law: All Complex Systems Converge to N ∈ [4,12]},
author={Argaña Silguero, Josué},
year={2026},
note={arXiv preprint (submitted)}
}
GraphLang:github.com/cripto-bot/graphlang** Paper**:github.com/cripto-bot/universal-grammar-law
GraphLab, Universal Grammar Law, Kolmogorov compression, Kolmogorov complexity, Shannon entropy, N∈[4,12], structural analysis, pattern discovery, generative compression, high-entropy alloys, HEA, Faraday clusters, supercapacitor, graphene doping, superconducting materials, Maxwell equations, longitudinal waves, Schrödinger cat, quantum mechanics, Wilson-Cowan, neural dynamics, protein folding, drug design, pharmaceutical discovery, machine learning, artificial intelligence, materials science, power semiconductors, Ga2O3, gallium oxide, Gallox, BB84, quantum cryptography, physics, mathematics, open source, reproducibility
Author: Josué Argaña Silguero** Contact**:josu31.jas@gmail.com** GraphLab**:github.com/cripto-bot/graphlang** Paper**:github.com/cripto-bot/universal-grammar-law** License**: MII Open License v1.0 (AI-Resistant)
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