Can Typicality Arguments Dissolve Cosmology’s Flatness Problem?

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McCoy, C.D.
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conference paper description
The flatness problem in cosmology draws attention to a surprising fine-tuning of the spatial geometry of our universe towards flatness. Several physicists, among them Hawking, Page, Coule, and Carroll, have argued against the probabilistic intuitions underlying such fine-tuning arguments in cosmology and instead propose that the canonical measure on the phase space of Friedman-Robertson-Walker spacetimes should be used to evaluate fine-tuning. They claim that flat spacetimes in this set are actually typical on this natural measure and that therefore the flatness problem is illusory. I argue that they misinterpret typicality in this phase space and, moreover, that no conclusion can be drawn at all about the flatness problem by using the canonical measure alone.