Space-time foam as the universal regulator

Details Space-time foam as the universal regulator Space-time foam as the universal regulator

Dec 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17.1209c&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 17, Dec. 1985, p. 1209-1216.

Astronomy and Astrophysics

Astronomy

9

Black Holes (Astronomy), Gravitation Theory, Perturbation Theory, Quantum Theory, Space-Time Functions, Fractals, Relativity

Scientific paper

A distribution of virtual black holes in the vacuum will induce modifications in the density of states for small perturbations of gravitational and matter fields. If the virtual black holes fill the volume of a typical spacelike surface then perturbation theory becomes more convergent and may even be finite, depending on how fast the number of virtual black holes increases as their size decreases. For distributions of virtual black holes which are scale invariant the effective dimension of space-time is lowered to a noninteger value less than 4, leading to an interpretation in terms of fractal geometry. In this case general relativity is renormalizable in the 1/N expansion without higher derivative terms . As the Hamiltonian is not modified the theory is stable.

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