TY - JOUR

T1 - Large quantum gravity effects

T2 - Unforeseen limitations of the classical theory

AU - Ashtekar, Abhay

PY - 1996/1/1

Y1 - 1996/1/1

N2 - 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).

AB - 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).

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U2 - 10.1103/PhysRevLett.77.4864

DO - 10.1103/PhysRevLett.77.4864

M3 - Article

AN - SCOPUS:0000905109

VL - 77

SP - 4864

EP - 4867

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 24

ER -