The formal structure of thermodynamics is based on contact geometry
The formal structure of thermodynamics can be effectively formulated and analyzed using contact geometry and related geometric frameworks.
Retrieved papers explicitly discuss how thermodynamic states and transformations map to contact structures and geometric formalisms. Papers [0] and [1] directly support the connection between thermodynamics and contact/metric geometry, while the remaining papers cover unrelated topics in materials science, machine learning, and biology. Thus, the claim is supported.
Miroslav Grmela. Contact Geometry of Mesoscopic Thermodynamics and Dynamics. 2014. https://doi.org/10.3390/e16031652
Paper [0] describes thermodynamic time evolution as a continuous sequence of contact structure preserving transformations, supporting the claim that contact geometry underlies thermodynamics.
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F. Weinhold. Metric geometry of equilibrium thermodynamics. III. Elementary formal structure of a vector-algebraic representation of equilibrium thermodynamics. 1975. https://doi.org/10.1063/1.431636
Paper [1] establishes a geometric and vector-algebraic foundation for equilibrium thermodynamics, linking thermodynamic field variables and identities directly to geometric structures.
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