econiac 0.0.1

Thermodynamic information routing and economic gauge theory on the Pacioli manifold

econiac

Thermodynamic information routing and economic gauge theory on the Pacioli manifold.

Named after MONIAC (1949) — Bill Phillips's hydraulic computer that modelled the economy as a conserved flow system using tanks, pipes, and valves. econiac does the same with differential geometry, the Maslov-Gibbs partition function, and JAX.

"The economy is a flow network. Conservation laws are not optional."

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What is econiac?

econiac is the Python implementation of the Adelic Simplicial Architecture (ASA) economic and financial frameworks:

• Thermodynamic Information Routing (TIR) — the Gibbs distribution as a universal routing primitive across economics, game theory, neuroscience, and computation (Paper 294)
• Economic Gauge Theory (EGT) — stock-flow consistency as a discrete gauge theory on the Pacioli manifold (Paper 300)
• Financial Gauge Theory (FGT) — exchange rates, yield curves, and credit spreads as connections and curvature (Papers 295–299)
• Pacioli Combinator Library (PCL) — a domain-specific language for financial computation that enforces conservation by construction (Paper 306)
• Differentiable Agent-Based Macroeconomics (DABM) — fully differentiable macroeconomic digital twins calibratable by gradient descent (Paper 305)

Status

0.0.1 — placeholder release. Full implementation in progress.

Installation

pip install econiac

The MONIAC connection

In 1949, the New Zealand economist Bill Phillips built MONIAC: a hydraulic computer that modelled the British economy as a system of tanks, pipes, and valves, with coloured water representing money flows. Conservation was enforced physically — what flowed in had to flow out. It was a working analogue computer that correctly predicted macroeconomic dynamics.

econiac is MONIAC for the 21st century: the same conservation laws, the same flow network, but implemented with differential geometry (the Pacioli manifold), thermodynamic routing (the Maslov-Gibbs partition function), and automatic differentiation (JAX).

References

• Buckley, I. R. C. (2026). Thermodynamic Information Routing. doi:10.5281/zenodo.20237288
• Buckley, I. R. C. (2026). Economic Gauge Theory. doi:10.5281/zenodo.20259495
• Buckley, I. R. C. (2026). The Pacioli Combinator Library. doi:10.5281/zenodo.20262070

License

MIT