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Can You Prove Two Particles Are Identical?

This is the crucial point:

"In our universe, the individually and fundamentally real entities are configurations of multiple particles, and the amplitude flows between them."

This idea is the basis of Mermin's Ithaca Interpretation of QM, aka correlation without correlata, aka zero worlds hypothesis. Here are some sample quotes:

"Correlations have physical reality; that which they correlate does not."
What is QM trying to Tell Us ?
"... the first pillar of the Ithaca Interpretation is that correlations are the only fundamental and objective properties of the world ..."
The Ithaca Interpretation of QM

I highly recommend those papers, they are very accessible, as well as being very true.