Displacement and Entropy: The Thermodynamic Foundations of Ground State Theory and the Physics of D(xi)

D(xi) is not a metaphor — it is excess free energy (thermodynamics), KL divergence from maximum entropy distribution (information theory), and Lyapunov distance from stable equilibrium (dynamical systems). Proves: D = DeltaF (Helmholtz free energy), D_KL(p||p0) = beta*DeltaF (statistical mechanics identity), accumulated displacement Phi = total excess entropy production, and the displacement principle of least Phi is Prigogine's minimum entropy production principle generalized to far-from-equilibrium.

Resolves Schrodinger's 'What is Life?' — life is a dissipative structure maintaining far-from-equilibrium S0. Quantum displacement = excitation energy above ground state.