Using field wave functionals and reduced density matrices, the authors argue that Everettian quantum field theory satisfies the same relativistic locality standard as classical electromagnetism, while Fock-space particle formulations do not.
Decoherence, Branching, and the Born Rule in a Mixed-State Everettian Multiverse
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abstract
In Everettian quantum mechanics, justifications for the Born rule appeal to self-locating uncertainty or decision theory. Such justifications have focused exclusively on a pure-state Everettian multiverse, represented by a wave function. Recent works in quantum foundations suggest that it is viable to consider a mixed-state Everettian multiverse, represented by a (mixed-state) density matrix. Here, we develop the conceptual foundations for decoherence and branching in a mixed-state multiverse, and extend arguments for the Born rule to this setting. This extended framework provides a unification of 'classical' and 'quantum' probabilities, and additional theoretical benefits, for the Everettian picture.
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quant-ph 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
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Relativistic Locality from Electromagnetism to Quantum Field Theory
Using field wave functionals and reduced density matrices, the authors argue that Everettian quantum field theory satisfies the same relativistic locality standard as classical electromagnetism, while Fock-space particle formulations do not.