Principia Physicae Generalis

We look at the geometries that arise from the equations of special relativity, classical mechanics and quantum mechanics. We then extract some interesting properties of each theory by considering the “rotations” in each geometry.

A summary of constraints in the Hamiltonian formalism and their connection to gauge symmetry. The classical field theory of Electrodynamics is quantized using constraints.

An explanation of constraints in classical mechanics and the derivation of the Navier-Stokes equations, treating pressure as a Lagrange multiplier.