Related papers: Time and event symmetry in quantum mechanics

Time and event symmetry in quantum mechanics

URL: http://arxiv.org/abs/2312.13524v1
Date: Thu, 21 Dec 2023 01:59:21 GMT
Title: Time and event symmetry in quantum mechanics
Authors: Michael Ridley and Emily Adlam
Abstract summary: We find that recent time symmetric interpretations of quantum mechanics fail to respect event symmetry. We then use this model to resolve conceptual paradoxes with time symmetric quantum mechanics within an all-at-once', atemporal picture.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: We investigate two types of temporal symmetry in quantum mechanics. The first type, time symmetry, refers to the inclusion of opposite time orientations on an equivalent physical footing. The second, event symmetry, refers to the inclusion of all time instants in a history sequence on an equivalent physical footing. We find that recent time symmetric interpretations of quantum mechanics fail to respect event symmetry. Building on the recent fixed-point formulation (FPF) of quantum theory, we formulate the notion of an event precisely as a fixed point constraint on the Keldysh time contour. Then, considering a sequence of measurement events in time, we show that both time and event symmetry can be retained in this multiple-time formulation of quantum theory. We then use this model to resolve conceptual paradoxes with time symmetric quantum mechanics within an `all-at-once', atemporal picture.

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