Variations on a theme by Poincaré
Résumé
The theme is Poincaré’s conventionalist freedom to do away with something along the lines of ‘force’ by absorbing it into the background geometry; this can amount to a choice between Newton’s first two laws: inertia vs. force. The variations involve Newton-Cartan mechanics, general relativity, the Jacobi metric and symplectic mechanics with magnetism.
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