Geometric Algebra For Physicists -

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

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

"One equation," Arthur breathed. "The entire light of the heavens in one line." of quantum mechanics wasn't a mystery anymore

He walked out into the crisp morning air of the campus. He saw a bird bank into a turn. To his old self, that was a change in a velocity vector. To his new eyes, it was a acting upon a multivector, a seamless transformation where geometry and algebra were no longer two things, but one. It was a —a directed segment of a plane

Arthur knew the road ahead would be hard. His colleagues would cling to their tensors and their matrices; they were comfortable tools. But as he watched the sunlight hit the chapel spire, he knew the truth. The universe didn't speak in fragments. It spoke in the unified language of geometry, and he finally knew how to listen.