General Covariance, Diffeomorphism Invariance, and Background Independence in 5 Dimensions

In Tomasz Bigaj & Christian Wüthrich (eds.), Metaphysics in Contemporary Physics. Boston: Brill | Rodopi (2015)
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Abstract

The paper considers the "GR-desideratum", that is, the way general relativity implements general covariance, diffeomorphism invariance, and background independence. Two cases are discussed where 5-dimensional generalizations of general relativity run into interpretational troubles when the GR-desideratum is forced upon them. It is shown how the conceptual problems dissolve when such a desideratum is relaxed. In the end, it is suggested that a similar strategy might mitigate some major issues such as the problem of time or the embedding of quantum non-locality into relativistic spacetimes.

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Antonio Vassallo
Warsaw University of Technology

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References found in this work

The Quantum Mechanics of Minds and Worlds.Jeffrey Alan Barrett - 1999 - Oxford, GB: Oxford University Press.
What price spacetime substantivalism? The hole story.John Earman & John Norton - 1987 - British Journal for the Philosophy of Science 38 (4):515-525.
Emergent spacetime and empirical (in) coherence.Nick Huggett & Christian Wüthrich - 2013 - Studies in History and Philosophy of Modern Physics 44 (3):276-285.

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