What question did this study set out to answer?

The research aims to formalize the phase collapse of institutional liquidity as a thermodynamic transition based on financial network mapping.

April 18, 2026Open Access

The Thermodynamic Phase Transition of Institutional Liquidity: Empirical Verification of Tangential Force (F tangent) in Contemporary Private Credit

Key Points

The research aims to formalize the phase collapse of institutional liquidity as a thermodynamic transition based on financial network mapping.
Mapped financial networks to a non-Euclidean topological 3-manifold
Introduced Tangential Force (Ftangent) and Energy Escape Constant (K escape) within a Ternary Logic framework
Conducted empirical tensor fitting using Black-Rock HPS Corporate Lending Fund and Blackstone BCRED datasets
Established that liquidity halts are thermodynamic phase transitions, not random market anomalies
Demonstrated convergence with historical systemic collapse thresholds of 1929 and 2008
Proved that topological ruptures are linked to failures in asymmetric cryptographic credit anchors.

Abstract

This paper formalizes the deterministic phase collapse of institutional liquidity by map-ping financial networks onto a non-Euclidean topological 3-manifold M. By introducing theTangential Force (Ftangent) and the Energy Escape Constant (K escape) within a TernaryLogic substrate, we demonstrate that liquidity halts are not stochastic market anomalies butstrict thermodynamic phase transitions. Empirical tensor fitting using the Q1 2026 Black-Rock HPS Corporate Lending Fund (HLEND) and Blackstone BCRED datasets yields anexact convergence with the 1929 and 2008 systemic collapse thresholds. Furthermore, wemathematically prove that this macroscopic topological rupture is a direct manifestation ofunderlying asymmetric cryptographic credit anchors reaching polynomial-time exhaustion.

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