Fractal Geometry of Quantum Spacetime at Large Scales

Details Fractal Geometry of Quantum Spacetime at Large Scales Fractal Geometry of Quantum Spacetime at Large Scales

1998-08-12

arxiv.org/abs/hep-th/9808070v1

Phys.Lett. B444 (1998) 284-292

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX 2.09 File, using RevTex and epsf inputs with 2 figures

Scientific paper

10.1016/S0370-2693(98)01375-6

We compute the intrinsic Hausdorff dimension of spacetime at the infrared fixed point of the quantum conformal factor in 4D gravity. The fractal dimension is defined by the appropriate covariant diffusion equation in four dimensions and is determined by the coefficient of the Gauss-Bonnet term in the trace anomaly to be generally greater than 4. In addition to being testable in simplicial simulations, this scaling behavior suggests a physical mechanism for the screening of the effective cosmological `constant' and inverse Newtonian coupling at very large distance scales, which has implications for the dark matter content and large scale structure of the universe.

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