A unified q-contact geometric framework is established for dissipative systems, featuring generalized Noether theorems and a multi-variable Herglotz variational principle shown equivalent to Hamiltonian dynamics.
Hooft, Trans-Planckian particles and the quantization of time, Class
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Noether-Type Theorems and the Generalized Herglotz Principle in $q$-Contact Geometry
A unified q-contact geometric framework is established for dissipative systems, featuring generalized Noether theorems and a multi-variable Herglotz variational principle shown equivalent to Hamiltonian dynamics.