The Thermodynamics of Truth: A Geometric Reinterpretation of Chemical Engineering via Axiomatic Physical Homeostasis

We propose a reformulation of classical chemical thermodynamics using the principles ofAxiomatic Physical Homeostasis (APH). By mapping Enthalpy to Filament Strain and Entropyto Associator Hazard, we derive the Smith Equation: a generalized free energy potential thatgoverns the stability of molecular geometries. We apply this framework to the unit operationsof an oil refinery (Distillation, Catalytic Cracking, Reforming), demonstrating that industrialchemical engineering is isomorphic to the operation of a macroscopic Topological Processor.