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Is it possible, in principle, to define the exclusion principle in a "local" sense, as a property of the tangent space at a point, or a single fiber of a spin bundle? Or does it necessitate a global description, e.g. coordinate-free field operators?

As a hypothetical example to capture the spirit of the question, could infinitesimal probability and spin currents interact in a manifestly exclusive way? I'm not holding my breath, because for all I know, the "locality" I allude to is ill-defined, up to interpretation and precluded by ten different no-go theorems. :)

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