On the Creation of Scalar Particles in an Early Stage of the Friedmann Closed-Universe

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Scientific paper

Under impetus of the two experimental studies on neutrinos by Reines-group and Lyubimov's, it has been shown by Zel'dovich et al. that the cosmological universe is closed, provided that the neutrino masses mν i (i =e, μ , τ) satisfy the inequality sumi mν i c2 ≳ 20 eV. In a previous paper, the seniro author dealt with the creation of scalar particles in an expanding universe with non-flat 3-space, but the case of a closed universe was practically ignored owing to the situation that the positive frequency part (in the sense of the author) of a quantized scalar field is not well-defined in that universe. In view of these circumstances, the creation of scalar particles in an early stage of the Friedmann closed-universe is studied on the supposition that the Fulling condition is preferable to define the positive frequency part in question near the early stage (as well as the later one).

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