Large quantum gravity effects: Unforeseen limitations of the classical theory

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Abstract

3-dimensional gravity coupled to Maxwell (or Klein-Gordon) fields is exactly soluble under the assumption of axi-symmetry. The solution is used to probe several quantum gravity issues. In particular, it is shown that the quantum fluctuations in the geometry are large unless the number and frequency of photons satisfy the inequality $\N(\hbar G\omega)^2 ≪ 1$. Thus, even when there is a single photon of Planckian frequency, the quantum uncertainties in the metric are significant. Results hold also for a sector of the 4-dimensional theory (consisting of Einstein Rosen gravitational waves).

Original languageEnglish (US)
Pages (from-to)4864-4867
Number of pages4
JournalPhysical Review Letters
Volume77
Issue number24
DOIs
StatePublished - Jan 1 1996

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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