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QUANTUM INFLATIONARY MODEL AND THE UNCERTAINTY OF THE HUBBLE SIZE |
ZHANG Shiwei |
Chemical Engineering School of Shanghai, Shanghai |
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Cite this article: |
ZHANG Shiwei 1989 Chin. Phys. Lett. 6 429-432 |
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Abstract A quantum inflationary universe model is proposed, in which the expansion factor S(t) is treated as a q-number, and the cosmological constant A 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, < S 3/2> follows the classical de-Sitter expansive law. The relative quantum uncertainty of Hubble size lH(t) = (S/S)-1 was computed: ΔlH(t) / < l H(t)>~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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Keywords:
98.80.-k
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Published: 01 September 1989
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