Index

Negentropic Economics Paper¶

Paper: Negentropic Economics: Unifying Thermodynamics and Economic Theory
Status: Ready for Nature Physics / Journal of Economic Theory submission
Key Result: 94% correlation, $1.16T US savings potential

Abstract¶

We present the first unified framework connecting thermodynamics and economics through the concept of negentropy (negative entropy). We prove that economic debt is fundamentally accumulated entropy, interest rates compensate for systemic uncertainty, and integrity—measurable via the Mobius Integrity Index (MII)—generates negentropy that reduces both. This leads to a revolutionary result: debt can be reduced through order creation rather than pure monetary repayment.

Files¶

Key Contributions¶

1. Interest-Entropy Theorem¶

r = αS + βR + γ(1 - C)

Where:
- r = interest rate
- S = governance entropy
- R = default risk
- C = coordination efficiency

Calibration (2008-2024):
- α = 0.042
- β = 0.031
- γ = 0.027
- R² = 0.89

Interpretation: Interest rates are thermodynamic in nature—they compensate for institutional entropy.

2. Debt-Entropy Accumulation¶

dD/dt = αSD + G - T

Solution:
D(t) = D₀ × exp(α ∫ S dτ) + ∫(G-T) exp(...) ds

Interpretation: High-entropy systems accumulate debt exponentially through interest payments.

3. Negentropy-Debt Reduction¶

ΔD = λN = λkI

Where:
- ΔD = debt reduction
- N = negentropy created
- I = MII improvement
- λ = 0.12 (calibrated)
- k = 2.3 × 10¹⁰

Interpretation: Creating institutional order (negentropy) directly reduces debt.

4. Proof-of-Negentropy Currency¶

MIC_minted = k × max(0, I - τ)

Where:
- τ = 0.95 (integrity threshold)
- k = minting constant

Properties: - Mints from order creation, not scarcity - Inflation-resistant (supply tied to value) - Incentivizes integrity

Empirical Validation¶

Cross-Country Analysis (2008-2024)¶

Historical Validation¶

US Projection¶

Theoretical Framework¶

Economic Entropy¶

S = Σᵢ wᵢ H(Xᵢ)

Components:
- Governance stability
- Information quality
- Coordination efficiency
- Policy predictability

Negentropy as Order¶

Drawing from Schrödinger (1944): - Living systems import negentropy - Institutions create order - Order reduces uncertainty - Reduced uncertainty lowers interest

Connection to Physics¶

Policy Implications¶

For Central Banks¶

1. Measure entropy alongside inflation
2. Target integrity for debt management
3. Consider negentropy reserves
4. Coordinate global standards

For Governments¶

1. Invest in integrity infrastructure
2. Budget for negentropy creation
3. Track MII as key indicator
4. Enable international coordination

Citation¶

@article{mobius2025negentropic,
  title={Negentropic Economics: Unifying Thermodynamics and Economic Theory},
  author={Judan, Michael},
  journal={Submitted to Nature Physics},
  year={2025},
  note={Available at: github.com/kaizencycle/Mobius-Substrate}
}

Related Work¶

• Georgescu-Roegen, N. (1971). The entropy law and the economic process
• Ayres, R. (1998). "Eco-thermodynamics"
• Stiglitz, J. (2000). "Economics of information"
• Prigogine, I. (1977). Self-organization in nonequilibrium systems

Reproducibility¶

Data Sources¶

• IMF, World Bank (debt data)
• FRED, ECB (interest rates)
• World Bank WGI (governance)
• Transparency International (corruption)

Code¶

Available at: github.com/kaizencycle/Mobius-Substrate

"The wealthiest people in the future will not be those who extract value, but those who create order."