This reminds me. My next paper on path integrals is going to do the weak quantum numbers. These suffer from superselection rules that do not apply to the generations. (That is, the mixing matrices mix generations only, for example.)

The claimed explanation is that weak hypercharge and weak isospin arise from topological considerations that can't be linearly superposed. But the generations can be linearly superposed because they're simply proportional to a constant plus a constant times w^g where g is generation and w^3 = 1.

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This reminds me. My next paper on path integrals is going to do the weak quantum numbers. These suffer from superselection rules that do not apply to the generations. (That is, the mixing matrices mix generations only, for example.)

The claimed explanation is that weak hypercharge and weak isospin arise from topological considerations that can't be linearly superposed. But the generations can be linearly superposed because they're simply proportional to a constant plus a constant times w^g where g is generation and w^3 = 1.

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