🔴 Overview
From local control to global coordination
"A single engine regulates itself. A fleet of engines requires a coordinator." — Samir Baladi, April 2026
ENTRO-ENGINE coordinates entropy flow between coupled systems (Scraper → LLM) under a global entropy budget constraint. Unlike ENTRO-CORE which stabilizes a single system, ENTRO-ENGINE distributes corrective pressure across multiple subsystems in proportion to their entropy contribution.
96.2%
Budget Violations ↓
312 → 12 timesteps
73.3%
Peak Queue ↓
87.6 → 23.4 requests
43.3%
Peak Ψ_total ↓
5.84 → 3.31
3
Regimes
Stable, Stress, Critical
🎯 Core Innovation
Global Entropy Budget
Ψ_total = Ψ_scraper + Ψ_llm ≤ Ψ_budget
Ψ_budget = γ_budget · N · Ψ_c = 0.75 × 2 × 2.0 = 3.0
📐 Control Law
Proportional Allocation
u_i(t) = -α · ρ_i(t) · tanh(β · Δ(t))
Ψ_s = log(1 + r_s)
Ψ_l = log(1 + q_l)
💰 Budget Constraint
Thermodynamic Fairness
ρ_s = Ψ_s / Ψ_total
ρ_l = Ψ_l / Ψ_total
ρ_s + ρ_l = 1
| Parameter | Symbol | Value | Description |
|---|
| Control Authority | α | 0.5 | Maximum control signal magnitude |
| Pressure Sensitivity | β | 2.0 | Tanh sensitivity to budget violation |
| Entropy Budget | Ψ_budget | 3.0 | Global entropy limit (γ=0.75, N=2, Ψ_c=2.0) |
| Max Scraper Rate | r_max | 3.0 req/s | Maximum request rate |
| Max LLM Queue | q_max | 10.0 | Maximum queue length |
| LLM Capacity | c_max | 1.2 req/s | Maximum processing capacity |
📊 Validation Results
Three-Phase Pipeline Simulation
| Controller | Budget Violations | Peak Queue | Peak Ψ_total |
|---|
| Uncontrolled | 312 | 87.6 | 5.84 |
| Static Limit | 187 | 45.2 | 4.21 |
| ENTRO-ENGINE | 12 | 23.4 | 3.31 |
96.2%
Budget Violations ↓
ENTRO-ENGINE vs Uncontrolled
73.3%
Peak Queue ↓
ENTRO-ENGINE vs Uncontrolled
43.3%
Peak Ψ_total ↓
ENTRO-ENGINE vs Uncontrolled
📈 Regime Evolution
ENTRO-ENGINE v9 Final Results
| Regime | Count | Percentage |
|---|
| Stable | 24 | 30.0% |
| Stress | 19 | 23.75% |
| Critical | 37 | 46.25% |
"A single engine regulates itself. A fleet of engines requires a coordinator. ENTRO-ENGINE is the coordinator — not because it overrides each engine's autonomy, but because it holds the budget that no single engine can see alone."
📦 Installation
Quick setup
pip install entro-engine
git clone https://github.com/gitdeeper10/entro-engine.git
cd entro-engine
pip install -r requirements.txt
pip install -e .
python -c "from entro_engine import __version__; print(__version__)"
🔧 API Reference
Python interface
ENTROEngineController
Main ENTRO-ENGINE controller class
from entro_engine import ENTROEngineController
controller = ENTROEngineController(
alpha=0.5,
beta=2.0,
psi_budget=3.0
)
signal = controller.compute_control(
psi_i=1.5,
psi_total=4.0
)
print(f"u = {signal.u:.3f}")
EntropyBudget
Budget manager with violation tracking
from entro_engine import EntropyBudget
budget = EntropyBudget(psi_budget=3.0)
status = budget.check(psi_total=3.5)
print(f"Violation: {status.violation:.3f}")
print(f"Remaining: {status.remaining:.3f}")
ProportionalAllocator
Proportional allocation based on entropy ratios
from entro_engine import ProportionalAllocator
allocator = ProportionalAllocator(alpha=0.5, beta=2.0)
result = allocator.allocate({
"scraper": 1.5,
"llm": 2.5
})
for name, alloc in result.items():
print(f"{name}: u={alloc.allocated_u:.3f}, ρ={alloc.rho:.3f}")
🧩 Core Modules
ENTRO-ENGINE architecture
controller.py
ENTRO-ENGINE
Main control law (Eq. 14)
budget.py
Budget Manager
Violation tracking (Eq. 9-11)
allocator.py
Allocator
Proportional allocation (Eq. 12-13)
entro_engine_v9.py
v9 Engine
Balanced regime engine
simulator_v9.py
Simulator
Three-phase pipeline
daily_report.py
Reports
Daily/Weekly/Monthly
👤 Author
Principal investigator
🔴
Samir Baladi
Interdisciplinary AI Researcher — Theoretical Physics, Statistical Mechanics & Information Theory
Ronin Institute / Rite of Renaissance
Samir Baladi is an independent researcher affiliated with the Ronin Institute, developing the Rite of Renaissance interdisciplinary research program. ENTRO-ENGINE is the fourth project (E-LAB-04) in a ten-project research program, building directly on ENTROPIA (E-LAB-01), ENTRO-AI (E-LAB-02) and ENTRO-CORE (E-LAB-03).
No conflicts of interest declared. All code and data are open-source under MIT License.
📝 Citation
How to cite
@software{baladi2026entroengine,
author = {Samir Baladi},
title = {ENTRO-ENGINE: Entropy Flow Regulator for Coupled Systems},
year = {2026},
version = {1.0.0},
publisher = {Zenodo},
doi = {10.5281/zenodo.19441032},
url = {https://doi.org/10.5281/zenodo.19441032},
note = {E-LAB-04. Builds on E-LAB-01, E-LAB-02, E-LAB-03}
}
@article{baladi2026entropia,
title = {ENTROPIA: Statistical Dynamics of Information Dissipation},
author = {Samir Baladi},
year = {2026},
doi = {10.5281/zenodo.19416737},
note = {E-LAB-01}
}
@software{baladi2026entroai,
author = {Samir Baladi},
title = {ENTRO-AI: Entropy-Resistant Inference Architecture},
year = {2026},
version = {2.0.0},
doi = {10.5281/zenodo.19284086},
note = {E-LAB-02}
}
@software{baladi2026entrocore,
author = {Samir Baladi},
title = {ENTRO-CORE: Regime-Dependent Entropy-Augmented Control},
year = {2026},
version = {0.1.0},
doi = {10.5281/zenodo.19431029},
note = {E-LAB-03}
}
"A single engine regulates itself. A fleet of engines requires a coordinator."