Reddit reviews Geometric Algebra for Physicists

> maths and physics

http://geocalc.clas.asu.edu/pdf/OerstedMedalLecture.pdf
http://geocalc.clas.asu.edu/html/NFCM.html
https://amzn.com/0521715954

Here's some math it's too bad the whole world didn't understand better 150 years ago.

Late, but here are undergrad books on the subject: geometric algebra, geometric calculus.

A grad-type book that has both and their applications to physics would be this one

I'm currently learning the geometric algebra undergrad book. It's a good read so far, and the author keeps up with book errors.

The Zitterbewegung interpretation of Quantum Mechanics takes a cue from here and works out the math. The result is that spin (and in general, momentum) is shown to be a property of a Quantum Field, not a feature of particles.

The best sources for this are:

http://geocalc.clas.asu.edu/html/GAinQM.html (David Hestene's personal website. The last few papers on this page are most relevant)

Geometric Algebra for Physicists by Doran and Lasenby The section on Quantum Mechanics is great for explaining the Math, but it doesn't do spin a great service

Almost no one pays attention to this work because it's not something new and amazing. It's contributed nothing to experimental knowledge aside from some explanations of corrections in energies and lifetimes. The calculations are also mostly done in a weird unification of vectors & division algebra that few people are familiar with.

IMO though, even though the work is hard to get through, it's worth it to understand spin.

These authors seem to think so:
http://www.amazon.com/Geometric-Algebra-Physicists-Chris-Doran/dp/0521715954

You should take a look at Geometric Algebra (not to be confused with Algebraic Geometry). Take a look at this video and this book for a general introduction and this one for physics. Angular momentum and angular velocity (if memory serves well) are both bivectors. Rotors, which are just bivectors and can be used to rotate using a sandwich geometric product, in a manner similar to quaternions.