The Relativistic Gross-Pitaevskii Equation and Cosmological Bose-Einstein Condensation ---Quantum Structure in the Universe---

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Scientific paper

We do not know the identity of 96% of the total matter in the universe at present. In this paper, a cosmological model is proposed in which dark energy (DE) is identified with the Bose-Einstein condensation (BEC) of some boson field. The global cosmic acceleration caused by this BEC and multiple rapid collapses of BEC into black holes and other forms of localized matter [= dark matter (DM)] are examined on the basis of the relativistic version of the Gross-Pitaevskii equation. We propose (a) a novel mechanism of inflation, free from the slow-rolling condition, (b) a natural solution to the cosmic coincidence (`Why now?') problem through the transition from DE to DM, (c) very early formation of highly non-linear objects, such as black holes, which might have triggered the first light as a form of quasars, and (d) log-z periodicity in the subsequent BEC collapsing time. All of these are based on a steady, slow BEC process.

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