Non-relativistic Classical Mechanics

The non-relativistic classical mechanics category develops the Newtonian model from explicit postulates and explicit definitions: the affine spacetime with absolute time and Euclidean simultaneous slices, the inertial frames and the Galilean transformations between them, the particle labels with their worldlines and fixed masses, the configuration spaces of constrained systems, the force and initial-data assumptions of the equations of motion, the balance laws of momentum, angular momentum and energy, one-dimensional conservative and dissipative models, two-body and central-force motion, regular constraints and moving frames, the stationary-action and Hamiltonian reformulations, and the stability, approximation and continuum developments that follow. Physical postulates are adopted assumptions of a model; the mathematical results of the category are complete conditional deductions from those postulates and their stated hypotheses, and no theorem of the category establishes that the model describes nature. Kinematical and dynamical claims are always relative to a specified frame, a specified force law and the stated regularity and idealization hypotheses, with empirical qualifications carried on the pages where measured input is used. Package: the mathematics of the track is developed on the companion mathematics category, and the physical pages consume those items through the schema's dependency roles.