Diluting Gravity with Compact Hyperboloids

Details Diluting Gravity with Compact Hyperboloids Diluting Gravity with Compact Hyperboloids

2000-10-05

arxiv.org/abs/hep-th/0010032v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 4 figures, to appear in proceedings of COSMO-2000, Cheju Island, Korea, September 2000

Scientific paper

I give a brief informal introduction to the idea and tests of large extra dimensions, focusing on the case in which the space-time manifold has a direct product structure. I then describe some attractive implementations in which the internal space comprises a compact hyperbolic manifold. This construction yields an exponential hierarchy between the usual Planck scale and the true fundamental scale of physics by tuning only ${\cal O}(1)$ coefficients, since the linear size of the internal space remains small. In addition, this allows an early universe cosmology with normal evolution up to substantial temperatures, and completely evades astrophysical constraints.

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