Spacetime Grand Unified Theory

The Standard Model of particle physics is derived from the free Dirac Lagrangian from first principles. All known fermionic particle species plus three right handed neutrinos are obtained from ideals of an 8-dimensional Clifford algebra, with the Standard Model gauge symmetries arising uniquely as the rotations of Dirac spinors in 8-dimensional spacetime.

Triality originates the strong force and three particle families, with family rotations connected to external transformations. Lorentz and gauge transformations are unified while avoiding the Coleman-Mandula theorem, with chirality stemming from orientation invariance in 8-dimensional spacetime.