4 ms·
`i` has a geometric meaning! It's explained by Geometric Algebra: https://en.wikipedia.org/wiki/Geometric_algebra https://en.wikipedia.org/wiki/Geometric_algebr
by justinpombrio 3y ago
`i` has a geometric meaning! It's explained by Geometric Algebra: https://en.wikipedia.org/wiki/Geometric_algebra https://en.wikipedia.org/wiki/Geometric_algebra
In three dimensional Geometric Algebra, `i` is defined as the product of three orthogonal unit vectors, `abc`. You have `abc = bca = cab = i` and `acb = cba = bac = -i`. So `i` defines a chirality on the space.
David Hesternes has a paper relating that to QM: https://web.archive.org/web/20120406093531/http://www.montgomerycollege.edu/Departments/planet/planet/Numerical_Relativity/Geometric_Algebra/caiqm.pdf https://web.archive.org/web/20120406093531/http://www.montgo...