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A no-go theorem for Psi-anomic models under the restricted ontic indifference assumption

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arxiv 2105.06445 v1 pith:NBPDQYYN submitted 2021-05-13 quant-ph physics.hist-ph

A no-go theorem for Psi-anomic models under the restricted ontic indifference assumption

classification quant-ph physics.hist-ph
keywords anomicmodelsontichardyindifferencerestrictedno-goside
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We address the question of whether a non-nomological (i.e., anomic) interpretation of the wavefunction is compatible with the quantum formalism. After clarifying the distinction between ontic, epistemic, nomic and anomic models we focus our attention on two famous no-go theorems due to Pusey, Barrett, and Rudolph (PBR) on the one side and Hardy on the other side which forbid the existence of anomic-epistemic models. Moreover, we demonstrate that the so called restricted ontic indifference introduced by Hardy induces new constraints. We show that after modifications the Hardy theorem actually rules out all anomic models of the wavefunction assuming only restricted ontic indifference and preparation independence.

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