Conservation of probability and quantum cosmological singularities

Mathematics – Probability

Scientific paper

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Scientific paper

By taking as a counterexample a spatially flat Friedmann-Robertson-Walker universe filled with a massless scalar field, we show that conservation of probability does not rule out singularities in quantum cosmology. Consequently, it is unnecessary to resort to contractive quantum dynamics in order to permit singularities in ``slow-time gauges.''

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