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Matter currents are the pointer observables of quantum field theory

Tan, Daniel Fook Hao
PhilArchive · Papers
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philosophy
Decoherence and einselection do not specify which Standard Model field operator on a physical observer grounds the Born rule. Since observers in relativistic quantum theory are themselves composite fermionic matter, we identify the physical Dirac matter current as the pointer observable. Reading its expectation as physical matter density rather than a probability average over outcomes, we recover the Born rule under standard unitary dynamics from channel-specific coupling with nondemolition premeasurement and Gleason-Busch on the induced POVM. The matter current is a primitive ontology in spacetime and a local beable in Bell's sense, and the wavefunction describes correlations in it rather than a further physical entity.
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