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What a beautiful subject. A framework that manages to incorporate the complex numbers, quaternions, and vector algebra - all from a unified perspective. Is ther
by Koshkin 6y ago
What a beautiful subject. A framework that manages to incorporate the complex numbers, quaternions, and vector algebra - all from a unified perspective. Is there a textbook that uses this framework to present “all of physics,” similarly to what you can find for some other frameworks (e.g. Lie groups/algebras)?
- enkimute 6y agoGeometric Algebra for Physicists : https://www.amazon.com/Geometric-Algebra-Physicists-Chris-Doran/dp/0521715954 https://www.amazon.com/Geometric-Algebra-Physicists-Chris-Do...
- Koshkin 6y agoLooks interesting, thanks. (Too bad, as one of the reviewers notes, “author has given up on theoretical physics and now runs a software development company specializing in lighting/shading routines for video games”...)
- enkimute 6y agoChris Doran, while not officially in academia, is still very much actively researching these topics and regularly publishes. (he is also a member of the bivector community, very approachable and happy to help out with questions). Anthony Lasenby, professor astrophysics and cosmology at Cambridge, is also absolutely still actively researching and publishing, all in the mindset of the GA4Physicists book. (See a recent (feb 2020) lecture of him here : https://www.youtube.com/watch?v=x7eLEtmq6PY&t=7s https://www.youtube.com/watch?v=x7eLEtmq6PY&t=7s ) (GA4P is considered one of the few comprehensive and up to date treatments of geometric algebra, not just in physics).
- jamessb 6y agoIt look like Chris Doran's company was acquired by Arm, and that he is back in academia as a fellow at Sidney Sussex College: https://www.sid.cam.ac.uk/people/dr-chris-doran https://www.sid.cam.ac.uk/people/dr-chris-doran