A framework constructs system-specific energy and entropy from empirical microstate distributions so that temperature and other thermodynamic relations emerge consistently.
Proof.(1) Preservation of constraints follows becausedp/dt∈T pMby construction, so the constraints are constant along the flow
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Thermoinformational State Construction: Generative Energies, Entropies, and H-Theorem Consistency
A framework constructs system-specific energy and entropy from empirical microstate distributions so that temperature and other thermodynamic relations emerge consistently.