A theorem that arises from Quantum Field Theory. It shows that any quantum entity (particles, atoms, etc.) can be classified by it's total spin angular momentum. If its spin is equal to 1/2 of a positive odd integer it is called a fermion and obeys Fermi-Dirac Statistics and hence obeys the Pauli Exclusion Principle. If its spin is equal to a positive integer it is called a boson and obeys Bose-Einstein Statistics.

The Spin-Statistics theorem is one of the most important results of modern physics, but it is also one of the hardest to prove or understand.

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