"More generally, no two identical fermions (particles with half-integer spin) may occupy the same quantum state simultaneously." Now a quantum state can be setup to describe a collection of atoms, or molecules, or the entire universe in one state. So my question is, two electrons in different parts of the universe can't occupy the same quantum state? How can this be? You can have two hydrogen atoms, each with an electron with the same n,l,m,s quantum numbers. This also says that out of all the electrons in the universe only 2 at a time can share the same momentum, 1 spin up, and 1 spin down. Since 2 electrons with the same momentum and same spin would be sharing a quantum state.