Capital Reconstruction Under the Liquid Core Model: The Fatal PDE of M2, Trinary Value Mapping, and the Thermodynamic Collapse of Fictitious Mass

In mainstream macroeconomics, the classical school represented by N. Gregory Mankiwtreats the monetary system as a static, rigid entity with frictionless equilibrium. Basedon the Ternary Logic Manifold (-1, 0, 1) and the “Liquid Earth Core” model, this paperthoroughly subverts this paradigm. Research indicates that broad money (M2) is merely a“Replaceable Entity” (Narrative and Future Value) on the system’s surface, while the un-derlying physical wealth constitutes the “Non-replaceable Entity” (Survival Value/Gravity).Utilizing the topological structures of non-equilibrium thermodynamics, this paper derivesa second-order partial differential equation (PDE) for M2 evolution. By introducing the ve-locity shear between slow-variable photovoltaic storage and high-frequency credit, the modelmathematically proves that systemic economic crises are not anomalies, but inevitable phasetransitions triggered when the energy escape constant (κ) breaches its rigid thermodynamicthreshold under severe systemic impedance.