Quantum inflationary model and the uncertainty of the hubble size

Physics

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Scientific paper

A quantum inflationary universe model is proposed, in which the expansion factor S(t) is treated as a q-number, and the cosmological constant Λ is identified with the energy density of Higgs field. Moreover, the initial quantum state is assumed to be a Gauss wave pocket. In such framework, < S3/2 > follows the classical de-Sitter expansive law. The relative quantum uncertainty of Hubble size lH(t) = (dot S/S)-1 was computed: ΔlH(t)/ < lH(t) > similar Z-6, where Z is the inflationary factor of universe. This result is basically different from that of Padmanabhan; the discrepency was explained. We conclude that the quantum Hubble size is practically a classical quantity.

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