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If the effective cosmological constant is nonzero, our observable universe may enter a stage of exponential expansion. In such a case, regions of it may tunnel back to the false vacuum of an inflaton scalar field, and inflation with a high expansion rate may resume in those regions. An ``ideal'' eternal observer would then witness an infinite succession of cycles from false vacuum to true, and back. Within each cycle, the entire history of a hot universe would be replayed. If there were several minima of the inflaton potential, our ideal observer would visit each one of these minima with a frequency which depends on the shape of the potential. We generalize the formalism of stochastic inflation to analyze the global structure of the universe when this ``recycling'' process is taken into account.
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Jaume Garriga
Alexander Vilenkin
Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields
Universitat Autònoma de Barcelona
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Garriga et al. (Sun,) studied this question.
www.synapsesocial.com/papers/6a09406836c3abab5045937c — DOI: https://doi.org/10.1103/physrevd.57.2230