Analytic State Space for Thermodynamics at Real Rates of Power

Real-rate thermodynamics (RRT) constructs an analytic state space for thermodynamic systems operating at real rates of power. A Dirac-linearized partial differential equation governs a differentiable manifold whose eigenvalue solutions yield exact thermodynamic potentials at any operating point. The framework predicts critical power conditions analytically from only experimental measurements at operating power, with applications of scramjets, gas turbines, superconductors, and black hole thermodynamics. keywords: real rate thermodynamics, endoreversible, equilibrium thermodynamics, analytic state space, differentiable manifold, potential functions, critical points, gas turbines, hypersonics, superconduction, thermoeconomics, black hole physics, superradiance, Page curve.