Everettian quantum mechanics without branching time

Synthese 188 (1):67-84 (2012)
In this paper I assess the prospects for combining contemporary Everettian quantum mechanics (EQM) with branching-time semantics in the tradition of Kripke, Prior, Thomason and Belnap. I begin by outlining the salient features of ‘decoherence-based’ EQM, and of the ‘consistent histories’ formalism that is particularly apt for conceptual discussions in EQM. This formalism permits of both ‘branching worlds’ and ‘parallel worlds’ interpretations; the metaphysics of EQM is in this sense underdetermined by the physics. A prominent argument due to Lewis (On the Plurality of Worlds, 1986 ) supports the non-branching interpretation. Belnap et al. (Facing the Future: Agents and Choices in Our Indeterministic World, 2001 ) refer to Lewis’ argument as the ‘Assertion problem’, and propose a pragmatic response to it. I argue that their response is unattractively ad hoc and complex, and that it prevents an Everettian who adopts branching-time semantics from making clear sense of objective probability. The upshot is that Everettians are better off without branching-time semantics. I conclude by discussing and rejecting an alternative possible motivation for branching time.
Keywords Everett  Quantum  Branching  Semantics  Metaphysics  Time  Many worlds  Lewis  Belnap  Divergence
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DOI 10.1007/s11229-011-0048-9
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Alastair Wilson (forthcoming). The Quantum Doomsday Argument. British Journal for the Philosophy of Science:axv035.
Wolfgang Schwarz (2015). Belief Update Across Fission. British Journal for the Philosophy of Science 66 (3):659-682.

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