Aspects of objectivity in quantum mechanics

In Jeremy Butterfield & Constantine Pagonis (eds.), From Physics to Philosophy. Cambridge University Press 45--70 (1999)
The purpose of the paper is to explore different aspects of the covariance of non-relativistic quantum mechanics. First, doubts are expressed concerning the claim that gauge fields can be 'generated' by way of imposition of gauge covariance of the single-particle wave equation. Then a brief review is given of Galilean covariance in the general case of external fields, and the connection between Galilean boosts and gauge transformations. Under time-dependent translations the geometric phase associated with Schrödinger evolution is non-invariant, and the significance of this result is briefly analysed. The covariance properties of Schrödinger dynamics are then brought to bear on certain versions of the modal interpretation of quantum mechanics. The conclusion that it is only relational properties that can be considered coordinate- or gauge-independent elements of reality is reinforced by appeal to the theory of quantum reference frames due to Aharonov and Kauffher. , Cambridge University Press ; pp. 45-70.)
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Holger Lyre (2004). Holism and Structuralism in (1) Gauge Theory. Studies in History and Philosophy of Science Part B 35 (4):643-670.
Christopher A. Martin (2002). Gauge Principles, Gauge Arguments and the Logic of Nature. Proceedings of the Philosophy of Science Association 2002 (3):S221-S234.
Aharon Kantorovich (2003). The Priority of Internal Symmetries in Particle Physics. Studies in History and Philosophy of Science Part B 34 (4):651-675.
Alexander Afriat (2013). Weyl's Gauge Argument. Foundations of Physics 43 (5):699-705.

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