Principia Physicae Generalis

We look at some simple systems in quantum mechanics that can be interpreted gemoetricaly through some basic concepts of topology.

We derive the basic equations of quantum mechanics and field theory using only symmetry and redundancy. We elucidate the concept of gauge symmety.

We explore the star-triangle relation in statistical mechanics and see how, through knot theory it can connect to a multitude of other, exactly solvable systems in physics