### M Theory Lesson 312

Let us now take two quark matrices and multiply them together. Using the phase matrices (in terms of $12$-th roots) on the MUB side of the twisted Fourier transform, for anti-up and anti-down quarks, we find that the product is a positron in the dual braid space. This is a complementarity between quarks and leptons, taking full magic matrices to fun operators.

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