Causality and a possible interpretation of quantum mechanics
arxiv(2024)
摘要
From the ancient Einstein-Podolsky-Rosen paradox to the recent Sorkin-type
impossible measurements problem, the contradictions between relativistic
causality, quantum non-locality, and quantum measurement have persisted. Our
work provides a framework based on quantum field theory to harmoniously
integrate these three aspects. This framework consists of causality expressed
by reduced density matrices and an interpretation of quantum mechanics that
considers quantum mechanics to be complete. Specifically, we utilize reduced
density matrices to characterize the local information of the quantum state and
demonstrate that they cannot evolve superluminally. Unlike recent approaches
focusing on causality, we do not introduce new operators or fields specifically
to describe detectors; instead, everything (including detectors, environments,
and humans) is composed of the same fundamental fields, leading to complex
renormalization. It is precisely these renormalization that prompts us to
question the validity of the derivation of quantum paradoxes and lead us to
propose a very natural and relativistically compatible interpretation of
quantum mechanics.
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