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Holography and non-locality in a closed vacuum-dominated universe. (English) Zbl 1112.83308
Summary: A closed vacuum-dominated Friedmann universe is asymptotic to a de Sitter space with a cosmological event horizon for any observer. The holographic principle says the area of the horizon in Planck units determines the maximum number of bits of information about the universe that will ever be available to any observer. The wavefunction describing the probability distribution of mass quanta associated with bits of information on the horizon is the boundary condition for the wavefunction specifying the probability distribution of mass quanta throughout the universe. Local interactions between mass quanta in the universe cause quantum transitions in the wavefunction specifying the distribution of mass throughout the universe, with instantaneous non-local effects throughout the universe.
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
83F05 Cosmology
Full Text: DOI arXiv
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