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In Physics the complex i is used for different purposes, which makes it seem more complex that it really is. My favorite explanation of complex numbers is the p
by rom16384 9y ago
In Physics the complex i is used for different purposes, which makes it seem more complex that it really is. My favorite explanation of complex numbers is the paper "Imaginary Numbers are not Real – the Geometric Algebra of Spacetime" [1] which shows what the complex i actually is in terms of Clifford Algebras.
[1] http://geometry.mrao.cam.ac.uk/1993/01/imaginary-numbers-are-not-real-the-geometric-algebra-of-spacetime/ http://geometry.mrao.cam.ac.uk/1993/01/imaginary-numbers-are...
- asavinov 9y agoI like this idea of representing inner (dot, scalar) product and outer product as one construct with two constituents which behaves like a complex number. This analogy with geometry makes complex numbers more realistic.