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arXiv · 2207.00502

Interpretation of quantum theory: the quantum "grue-bleen" problem

Benjamin Schumacher·Michael D. Westmoreland
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Abstract

We present a critique of the many-world interpretation of quantum mechanics, based on different ``pictures'' that describe the time evolution of an isolated quantum system. Without an externally imposed frame to restrict these possible pictures, the theory cannot yield non-trivial interpretational statements. This is analogous to Goodman's famous ``grue-bleen'' problem of language and induction. Using a general framework applicable to many kinds of dynamical theories, we try to identify the kind of additional structure (if any) required for the meaningful interpretation of a theory. We find that the ``grue-bleen'' problem is not restricted to quantum mechanics, but also affects other theories including classical Hamiltonian mechanics. For all such theories, absent external frame information, an isolated system has no interpretation.

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Benjamin Schumacher, Michael D. Westmoreland. 2022-07-01. Interpretation of quantum theory: the quantum "grue-bleen" problem. https://doi.org/10.3390/e24091268

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