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- Quantum spin is orientable so it takes place in a space with an even number of dimensions. What is that space?

Quantum spin is orientable so it takes place in a space with an even number of dimensions. What is that space?

If the space had an odd number of dimensions, then spin in that space wouldn't be orientable. But quantum spin is orientable.

We could say that it is Minkowski space, but that space is hyperbolic so a cyclic rotation like spin is not possible.

If the space had an odd number of dimensions, then spin in that space wouldn't be orientable. But quantum spin is orientable.

We could say that it is Minkowski space, but that space is hyperbolic so a cyclic rotation like spin is not possible.