Geometric Algebra For Physicists (360p | FHD)

As the sun dipped below the horizon, Arthur’s chalk began to fly. He realized that by simply adding these different types of objects together—scalars, vectors, and bivectors—he created a . This was the "Geometric Algebra" Clifford had dreamed of. Suddenly, the "imaginary"

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. Geometric Algebra for Physicists

, and instead of forcing them into a "cross product" that spat out a third, artificial vector, he followed Clifford’s ghost. He multiplied them: As the sun dipped below the horizon, Arthur’s

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. Suddenly, the "imaginary" He picked up a dusty,

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."

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