“How is this so if it is, indeed true?” Pauli Exclusion Principle.

The Pauli Exclusion Principle is a practical answer to a difficult question. It is an axiom. A principle.

“two identical fermions (particles with half-integer spin) cannot occupy the same quantum state simultaneously.”

It’s practical. But within the statement is an unanswered question. “How is this so if it is, indeed true?”

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