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nlin.SI2026
Maxwell's relations as Hamilton's equations: a symplectic and variational framework
Sikarin Yoo-Kong
We develop a geometric framework in which classical thermodynamics is reformulated as a Hamiltonian dynamical system. An explicit canonical mapping $(q,p,t,H)\leftrightarrow(V,-P,S…
math-ph2026
Relativistic Hamiltonian as an emergent structure from information geometry
Sikarin Yoo-Kong
We show that the relativistic energy-momentum relation can emerge as an effective ensemble-averaged structure from a multiplicative Hamiltonian when fluctuations of an auxiliary pa…