I wonder if someone could tell me where my logic is going wrong here?
- If two particles both have definite energy, then they have indefinite position.
- As their positions could literally be anywhere in the universe, we cannot tell them apart.
- If two particles are indistinguishable, then we have to consider the probability of interference due to the particles exchanging places (as in Feynmann Vol 3 Ch 4)
- Does this mean no two electrons in the entire universe can share the same energy due to the Pauli exclusion principle?
- Does this break locality?