What question did this study set out to answer?

The aim is to model credit as a fluid and examine its dynamics in relation to macroeconomic crises.

April 22, 2026Open Access

Econophysical Modeling of Non-Stationary Credit Fluidity: Topological Dynamics of Macroeconomic Phase Transitions and Historical Validation

Key Points

The aim is to model credit as a fluid and examine its dynamics in relation to macroeconomic crises.
Introduced a fluid dynamical interpretation of capital markets.
Applied a modified Navier-Stokes framework for analysis.
Back-tested the model against the 2008 Subprime Mortgage Crisis.
Demonstrated that structural crises are deterministic phase transitions.
Derive the energy escape constant κ analytically.
Showed that binary economic models fail during credit bandwidth surges.

Abstract

Traditional monetary theory assumes a quasi-static equilibrium for capital allocation.This paper introduces a fluid dynamical interpretation of capital markets, treating credit asa non-stationary fluid constrained by a static boundary layer (the physical economy). Byapplying a modified Navier-Stokes framework, we derive the exact analytical value of theenergy escape constant κ. We demonstrate that structural crises are deterministic phasetransitions and empirically validate this topology by back-testing the 2008 Subprime Mort-gage Crisis, proving that binary economic models suffer from catastrophic divergence whencredit bandwidth exceeds boundary-layer surface tension.

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