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physics.class-ph2022★ 3 cited
Geometric and physical interpretation of the action principle
Gabriele Carcassi, Christine A. Aidala
We give a geometrical interpretation for the principle of stationary action in classical Lagrangian particle mechanics. In a nutshell, the difference of the action along a path and…
physics.class-ph2021
Classical mechanics and infinitesimal reducibility
Gabriele Carcassi, Christine A. Aidala
We briefly show how classical mechanics can be rederived and better understood as a consequence of three assumptions: infinitesimal reducibility, deterministic and reversible evolu…