Symmetries and Invariances in Classical Physics

Brading, Katherine; Castellani, Elena

doi:10.1016/b978-044451560-5/50016-6

Cited by 49 publications

(45 citation statements)

References 20 publications

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“…A continuous transformation, as in the case of the Galilean group, admits two interpretations. Under the active interpretation, the transformation corresponds to a change from one system to another-transformed-system; under the passive interpretation, the transformation consists in a change of the viewpoint-reference frame-from which the system is described (see [15]). Nevertheless, in both cases the validity of a group of symmetry transformations expresses the fact that the identity and the behavior of the system are not altered by the application of the transformations: in the active interpretation language, the original and the transformed systems are equivalent; in the passive interpretation language, the original and the transformed reference frames are equivalent.…”

Section: Modal-hamiltonian Interpretation and Boost-transformationsmentioning

confidence: 99%

Quantum Mechanics: Modal Interpretation and Galilean Transformations

2009

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The aim of this paper is to consider in what sense the modal-Hamiltonian interpretation of quantum mechanics satisfies the physical constraints imposed by the Galilean group. In particular, we show that the only apparent conflict, which follows from boost-transformations, can be overcome when the definition of quantum systems and subsystems is taken into account. On this basis, we apply the interpretation to different well-known models, in order to obtain concrete examples of the previous conceptual conclusions. Finally, we consider the role played by the Casimir operators of the Galilean group in the interpretation.

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Section: Modal-hamiltonian Interpretation and Boost-transformationsmentioning

confidence: 99%

Quantum Mechanics: Modal Interpretation and Galilean Transformations

2009

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“…28 The case against Newtonian spacetime is framed in these terms by Maudlin (1993) and Dasgupta (2013). 29 The case against Newtonian spacetime is put this way, for example, in Earman, 1989;Brading and Castellani, 2007;Roberts, 2008;North, 2009;Baker, 2010;andBelot, 2011. 30 North, 2009, contains a detailed discussion of what it means to minimize structure in a physical theory.…”

Section: Philosophy Department Vassar Collegementioning

confidence: 99%

“…The case against Newtonian spacetime is put this way, for example, in Earman, ; Brading and Castellani, ; Roberts, ; North, ; Baker, ; and Belot, .…”

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confidence: 99%

Physical Magnitudes

Dees

2018

Pacific Philosophical Qtr

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Scientific properties come in degrees: elephants are more massive than mice. Are facts like these fundamental or can they be explained in other terms? This article argues that the structure of physical quantities like mass reduces to facts about the role that mass plays in the laws of nature. On this view elephants are more massive than mice partly in virtue of the fact that elephants are harder to throw around.

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“…For philosophical introductions to symmetry see the Introduction in[BC03],[BC07],[BC08] and[Ban12]. For a popular introduction to the physical issues see[LH04].…”

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confidence: 99%

The Role of Symmetry in Mathematics

Yanofsky¹,

Zelcer

2016

Found Sci

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Over the past few decades the notion of symmetry has played a major role in physics and in the philosophy of physics. Philosophers have used symmetry to discuss the ontology and seeming objectivity of the laws of physics. We introduce several notions of symmetry in mathematics and explain how they can also be used in resolving different problems in the philosophy of mathematics. We use symmetry to discuss the objectivity of mathematics, the role of mathematical objects, the unreasonable effectiveness of mathematics and the relationship of mathematics to physics.Comment: 25 pages. arXiv admin note: substantial text overlap with arXiv:1306.423

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Symmetries and Invariances in Classical Physics

Cited by 49 publications

References 20 publications

Quantum Mechanics: Modal Interpretation and Galilean Transformations

Quantum Mechanics: Modal Interpretation and Galilean Transformations

Physical Magnitudes

The Role of Symmetry in Mathematics

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