The Relativistic Gross-Pitaevskii Equation and Cosmological Bose-Einstein Condensation : Quantum Structure in the Universe(Astrophysics and Relativity)

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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 nonlinear 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.
理論物理学刊行会の論文
2006-06-25