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Uncertainty principle and the horizon size of our universe
Authors:T. Padmanabhan  T. R. Seshadri
Affiliation:(1) Tata Institute of Fundamental Research, Homi Bhabha Road, 400 005 Bombay, India
Abstract:Quantum uncertainties prevent simultaneous measurement of the expansion factor S(t) and its time derivative
$$dot Sleft( t right)$$
. Consequently the ldquoHubble sizerdquo
$$left( {{{dot S} mathord{left/ {vphantom {{dot S} S}} right. kern-nulldelimiterspace} S}} right)^{ - 1} $$
has an inherent uncertainty in the quantum state that describes the semiclassical evolution of the universe. We show that the quantum uncertainty in the Hubble size of the universe is amplified to unacceptably large values in any inflationary process.This essay received an honorable mention from the Gravity Research Foundation, 1986-Ed.
Keywords:
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