Properties of Clifford algebras for fundamental particles

As William Kingdon Clifford commented in the abstract of his paper “On the Classification of Geometric Algebras” communicated to the London Mathematical Society on 10 March 1876, “… the system is the natural language of metrical geometry and of physics”1. The system which he was describing is his geometric algebra, which we now know as Clifford algebra. The paper was never finished, but was discovered following his death and published in his collected Mathematical Papers. Nevertheless the use of his algebras, not just in four dimensions, is evident today in models of physics