Geometric Algebra For Physicists -

The result wasn't a number. It wasn't a vector. It was a —a directed segment of a plane.

"One equation," Arthur breathed. "The entire light of the heavens in one line." Geometric Algebra for Physicists

Arthur began to draw. He didn’t start with a point or a line, but with an . He took two vectors, The result wasn't a number

The year was 1964, and the corridors of Princeton were hushed, save for the rhythmic scratching of chalk against slate. Dr. Arthur Penhaligon sat slumped in his office, surrounded by the debris of modern physics: scattered tensors, sprawling matrices, and the jagged indices of differential forms. "One equation," Arthur breathed

of quantum mechanics wasn't a mystery anymore. In Arthur’s equations,

He picked up a dusty, slim volume he’d found in a London bookstall: Die Ausdehnungslehre by Hermann Grassmann, a 19th-century schoolmaster ignored by his peers. Beside it lay the works of William Kingdon Clifford.