Extra dimensions present a new flatness problem

Details Extra dimensions present a new flatness problem Extra dimensions present a new flatness problem

2000-08-14

arxiv.org/abs/hep-ph/0008126v1

Phys.Rev.D65:083516,2002

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, LaTeX

Scientific paper

10.1103/PhysRevD.65.083516

There is no known fundamental reason to demand as a cosmological initial condition that the bulk possess an SO(3,1) isometry. On the contrary, one expects bulk curvature terms that violate the SO(3,1) isometry at early epochs, leading to a violation of Lorentz invariance on our brane. Demanding that the Lorentz noninvariant terms are small leads to a new ``flatness'' problem, not solved by the usual formulation of inflation. Furthermore, unlike in four dimensions, the Lorentz violations induced from the bulk curvature cannot always be removed as the infrared cutoff is taken arbitrarily large. This means that the equivalence principle in higher dimensions does not guarantee the equivalence principle in dimensionally reduced theories. Near-future experiments are expected to severely constrain these Lorentz-violating ``signatures'' of extra dimensions.

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