"Magic" is a quantum mechanical property that roughly speaking quantifies the extent to which a quantum computer is more powerful than a conventional computer.
The "weak mixing angle" is a physically measured quantity in electroweak unification theory, which treats the weak force and electromagnetism as having a common, unified origin and functional relationships to each other, in which three weak isospin fields and a weak hypercharge field are transformed into the photon and the W+, W-, and Z bosons. It quantifies what transformation from an idealized state in the theory is necessary to produce the world that we actually see.
It turns out that quantum magic appears to be minimized at very close to the weak mixing angle at the Z boson mass energy scale. Since the amount of magic at the Z boson mass energy scale can be calculated in the Standard Model, rather than merely measured experimentally, this potentially makes the weak mixing angle a derived constant rather than an experimentally measured fundamental constant. It is also suggestive of how the weak mixing angle arises at a fundamental level.
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