SCALING DIMENSIONS OF LATTICE QUANTIZED GRAVITY
Herbert W. Hamber · 2001
I discuss a model for quantized gravitation based on the simplicial lattice discretization. It has been studied in detail using a comprehensive finite size scaling analysis combined with renormalization group methods. The results are consistent with a value for the universal critical exponent for gravitation ν = 1/3, and suggest a simple relationship between Newton’s constant, the gravitational correlation length and the observable average space-time curvature. Some perhaps testable phenomenological implications are discussed, such as the scale dependence of Newton’s constant and properties of quantum curvature fluctuations. 1