Quantum uncertainty in the horizon size in an inflationary universe

Padmanabhan, T. ; Seshadri, T. R. (1988) Quantum uncertainty in the horizon size in an inflationary universe International Journal of Modern Physics A, 3 (9). pp. 2113-2126. ISSN 0217-751X

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Official URL: http://www.worldscinet.com/abstract?id=pii:S021775...

Related URL: http://dx.doi.org/10.1142/S0217751X88000874

Abstract

It is shown that uncertainty principle prevents simultaneous, exact measurement of the expansion factor S(t) and its time derivative S(t) in a FRW universe. We compute the uncertainties in these parameters in the semiclassical limit. It is shown that (i) there is a minimum uncertainty ΔlH in the Hubble distance lH(t)=(S/S)-1 in a semiclassical universe. (ii) this uncertainty is amplified to an unacceptably large value if there was an inflationary phase in the early universe.

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