"The Geometry of the Octonions" by Tevian Dray

All of quantum field theory (with the exception of gravity, but people are working on that) can be derived from the following statement: "Assume maximal self-consistent unambiguous algebraic structure and neglect trivial results". The only such set of dimensions which can have non-trivial maximal structure are 3 positive 1 negative (left-hand rule physics) and 3 negative 1 positive (right-hand rule physics). From the maximal algebraic structure (Clifford algebras) we can then derive all of the underlying laws which govern electromagnetism, strong force, weak force, and the Higgs field. We can additionally derive the existence and relative charges/masses/etc. of all particles in the Standard Model by identifying ideal groups in the maths' group theory (except for why neutrinos have mass, but people are working on that too).