The Eternal Sunshine of the Spotless Mind

Abstract

We extend the worldline measure for pocket formation in eternal inflation to allow for time-ordered bubble formation. Such a time-ordering is equivalent to imposing a preferred time-slicing on the "parent" de Sitter space. Using this measure, we describe a covariant version of the youngness paradox and show that the youngness paradox is a gauge artifact if the parent spacetime is an unbroken de Sitter space, due to the lack of an explicit time-ordering for the bubble nucleation events. We then show that one can add a "clock" to the de Sitter space, in the form of a vector field with a spontaneously broken symmetry that defines a unique timelike direction accessible to all observers. Once this is done, the existence of a preferred slicing means that the youngness paradox cannot be easily resolved. We use this to elucidate the apparent "persistence of memory" discussed recently by Garriga, Guth and Vilenkin, for inflationary universes produced by bubble nucleation.

18 pages, 5 figures

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• Holographic probabilities in eternal inflation
• Black Holes in Einstein-Aether Theory
• Spherical Solutions in Einstein-Aether Theory: Static Aether and Stars
• Eternal Inflation: The Inside Story
• Lorentz Violating Inflation
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Cited by in corpus (1)

• Cosmology With Many Light Scalar Fields: Stochastic Inflation and Loop Corrections