The variance of the Schwarzschild horizon area in linearized quantum gravity is computed to be ~ r_H^2 l_P^2, giving a standard deviation ∆A ~ r_H l_P.
Gauge Theory, Geometry and the Large N Limit
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We study the relationship between M theory on a nearly lightlike circle and U(N) gauge theory in p+1 dimensions. We define large N limits of these theories in which low energy supergravity is valid. The regularity of these limits implies an infinite series of nonrenormalization theorems for the gauge theory effective action, and the leading large N terms sum to a Born-Infeld form. Compatibility of two different large N limits that describe the same decompactified M theory leads to a conjecture for a relation between two limits of string theories.
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Quantum uncertainty in the area of a black hole
The variance of the Schwarzschild horizon area in linearized quantum gravity is computed to be ~ r_H^2 l_P^2, giving a standard deviation ∆A ~ r_H l_P.