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Analytic State Space for Thermodynamics at Real Rates of Power

## Description of the Data and file structure

The theory of equilibrium thermodynamics, and its final formulation as an analytic state spacedeveloped by J.W. Gibbs (1879), is a pillar of human achievement in physics. For chemical reactions, the mathematics is correct for exactly determining the products that result and the new equilibrium point of the reaction products. However, for processes at real rates of power, such as for a gas turbine for energy generation or even for microeconomic analysis of a production floor with a fixed set of resources, the equilibrium theory only provides the upper bound of work production output and the lower bound of entropy production that will be produced rather than an exact value of these quantities at real rates of power. Further, as power rises, the error in estimating these quantities also rises. The present work proposes a new analytic state space for dynamic variables in systems at real rates of power. The resulting mathematical state space,which is a differentiable manifold, develops exact differential equations for potential functions that are completely analogous to the corresponding potential functions of Gibbs’ state space analysis. The present work is a completely classical theory despite the reconciliation of the math to Dirac and Einstein and is not a quantum theory of thermodynamics.



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