Gomes, Henrique and Butterfield, Jeremy (2020) Geometrodynamics as Functionalism about Time. [Preprint]
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Abstract
We review three broadly geometrodynamical---and in part, Machian or relational---projects, from the perspective of spacetime functionalism. We show how all three are examples of functionalist reduction of the type that was advocated by D. Lewis, and nowadays goes by the label `the Canberra Plan’.
The projects are: (1) the recovery of geometrodynamics by Hojman et al. (1976); (2) the programme of Schuller and collaborators (Schuller 2011; Duell, Schuller et al. 2018) to deduce a metric from the physics of matter fields; (3) the deduction of the ADM Hamiltonian by Gomes and Shyam (2016).
We end by drawing a positive corollary about shape dynamics: namely, it has a good rationale for the Hamiltonian it postulates.
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| Item Type: | Preprint | |||||||||
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| Additional Information: | Submitted to: From Quantum to Classical: Essays in memory of Dieter Zeh; edited by Claus Kiefer: Springer, Cham, 2021. | |||||||||
| Keywords: | Geometrodynamics, spacetime functionalism, Machian and relational approaches to dynamics, functionalism as reduction, the Canberra Plan, shape dynamics, H-D. Zeh | |||||||||
| Subjects: | General Issues > Scientific Metaphysics Specific Sciences > Physics > Quantum Gravity General Issues > Reductionism/Holism Specific Sciences > Physics > Relativity Theory General Issues > Structure of Theories |
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| Depositing User: | Jeremy Butterfield | |||||||||
| Date Deposited: | 31 Oct 2020 15:44 | |||||||||
| Last Modified: | 31 Oct 2020 15:44 | |||||||||
| Item ID: | 18339 | |||||||||
| Subjects: | General Issues > Scientific Metaphysics Specific Sciences > Physics > Quantum Gravity General Issues > Reductionism/Holism Specific Sciences > Physics > Relativity Theory General Issues > Structure of Theories |
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| Date: | October 2020 | |||||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/18339 |
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