Clifford Algebra
Concept
The algebra generated by vectors, which is the underlying structure to which spinors belong, making them 'square roots' of algebra.
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Videos Mentioning Clifford Algebra

Joan Lasenby on Applications of Geometric Algebra in Engineering
Y Combinator
An algebra developed by William Clifford that combines inner and outer products, serving as a basis for geometric algebra.

Roger Penrose on "The Portal" (w Eric Weinstein), Ep. #020 - Plotting the Twist of Einstein's Legacy
Eric Weinstein
The algebra generated by vectors, which is the underlying structure to which spinors belong, making them 'square roots' of algebra.