Large quantum gravity effects: Unforeseen limitations of the classical theory

Abhay Ashtekar

Research output: Contribution to journalArticlepeer-review

67 Scopus citations


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
Issue number24
StatePublished - 1996

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


Dive into the research topics of 'Large quantum gravity effects: Unforeseen limitations of the classical theory'. Together they form a unique fingerprint.

Cite this