Relativity

Tumulka, Roderich

doi:10.1007/978-3-031-09548-1_7

Cited by 2 publications

(2 citation statements)

References 42 publications

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“…The word ‘measurement’ then suggests that the experiment reveals some pre-determined value for the spin, but this is not the case. Instead, just as in the case of the original Bohmian dynamics [1–3,33,39–41], the spin is co-determined by the system and the details of the experimental set-up.…”

Section: Introductionmentioning

confidence: 99%

Zig-zag dynamics in a Stern–Gerlach spin measurement

Krekels,

Maes,

Meerts

et al. 2024

Proc. R. Soc. A.

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The century-old Stern–Gerlach setup is paradigmatic for a quantum measurement. We visualize the electron trajectories following the Bohmian zig-zag dynamics. This dynamics was developed in order to deal with the fundamentally massless nature of particles (with mass emerging from the Brout–Englert–Higgs mechanism). The corresponding trajectories exhibit a stochastic zig-zagging, as the result of the coupling between left- and right-handed chiral Weyl states. This zig-zagging persists in the non-relativistic limit, which will be considered here, and which is described by the Pauli equation for a non-uniform external magnetic field. Our results clarify the different meanings of ‘spin’ as a property of the wave function and as a random variable in the Stern–Gerlach setup, and they illustrate the notion of effective collapse. We also examine the case of an EPR-pair. By letting one of the entangled particles pass through a Stern–Gerlach device, the non-local influence (action-at-a-distance) on the other particle is manifest in its trajectory, e.g. by initiating its zig-zagging.

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Section: Introductionmentioning

confidence: 99%

Zig-zag dynamics in a Stern–Gerlach spin measurement

Krekels,

Maes,

Meerts

et al. 2024

Proc. R. Soc. A.

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“…1For instance, for Bohmian mechanics see [1, §6.4.1] and other approaches are also available, say group representation and many others.…”

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confidence: 99%

On identity, indiscernibility and (non-)individuality in the quantum domain

Krause

2023

Phil. Trans. R. Soc. A.

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The topics of identity, individuality and indiscernibility had already entered the domain of the philosophy of physics, mainly in what respects the philosophy of quantum theories. In this paper, I present the main ideas of an underlying metaphysics that considers the basic entities of quantum physics as non-individuals, that is, as entities to which the standard theory of identity of classical logic and standard mathematics (set theory) does not apply. Two things must be emphasized: the first is that we pursue Erwin Schrödinger’s ideas that the notion of identity (or sameness ) does not apply to quantum things; the second is to follow Heinz Post’s claim that the non-individuality of quantum entities ‘must be introduced right at the start’ and not by taking individuals and making them pretend to be non-individuals ‘by hand’, say by confining them to non-rigid structures. Thus, this paper should be regarded as an attempt to justify the metaphysics of non-individuals and the logical systems that cope with them, although these systems are here only referred to. We also answer some criticisms that have been directed to such a view. The paper is directed to an audience of both physicists interested in foundations and philosophers of physics. This article is part of the theme issue ‘Identity, individuality and indistinguishability in physics and mathematics’.

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Relativity

Cited by 2 publications

References 42 publications

Zig-zag dynamics in a Stern–Gerlach spin measurement

Zig-zag dynamics in a Stern–Gerlach spin measurement

On identity, indiscernibility and (non-)individuality in the quantum domain

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