Vacuum fluctuations of a scalar field in a localized region of curved spacetime

Details Vacuum fluctuations of a scalar field in a localized region of curved spacetime Vacuum fluctuations of a scalar field in a localized region of curved spacetime

Dec 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979phrvd..20.3047h&link_type=abstract

Physical Review D (Particles and Fields), Volume 20, Issue 12, 15 December 1979, pp.3047-3051

Physics

1

Scientific paper

Vacuum fluctuations in curved spacetime are discussed and it is shown that in an Einstein metric the wave numbers of a scalar field are reduced owing to the presence of curvature. This suggests that gravitation may be used as a natural cutoff to the higher modes. A model of a particle is then constructed by considering a shell filled with vacuum energy with the curvature resulting from the zero-point energy itself. It is found that the sum over all the allowed frequencies is finite and the mass-to-radius ratio is that of a black hole. If the shell consists of one unit of charge, then the radius of the resulting particle is a=(α)12L and m=(α)12L, where α is the fine-structure constant and L is the Planck length.

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