Indeterminacy in Classical Cosmology with Dark Matter

Foundations of Physics 53 (2):1-9 (2023)
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Abstract

We describe a case of indeterminacy in general relativity for homogeneous and isotropic cosmologies for a class of dark energy fluids. The cosmologies are parametrized by an equation of state variable, with one instance giving the same solution as Norton’s mechanical dome. Our example goes beyond previously studied cases in that indeterminacy lies in the evolution of spacetime itself: the onset of the Big Bang is indeterminate. We show further that the indeterminacy is resolved if the dynamics is viewed relationally.

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References found in this work

What price spacetime substantivalism? The hole story.John Earman & John Norton - 1987 - British Journal for the Philosophy of Science 38 (4):515-525.
Time without change.Sydney Shoemaker - 1969 - Journal of Philosophy 66 (12):363-381.
Causation as folk science.John Norton - 2003 - Philosophers' Imprint 3:1-22.
The Dome: An Unexpectedly Simple Failure of Determinism.John D. Norton - 2008 - Philosophy of Science 75 (5):786-798.
The Hole Argument.Oliver Pooley - 2021 - In Eleanor Knox & Alastair Wilson (eds.), The Routledge Companion to the Philosophy of Physics. New York, USA: Routledge. pp. 145-158.

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