Scales of the Extra Dimensions and their Gravitational Wave Backgrounds
Abstract
Circumstances are described in which symmetry breaking during the formation of our three-dimensional brane within a higher-dimensional space in the early universe excites mesoscopic classical radion or brane-displacement degrees of freedom and produces a detectable stochastic background of gravitational radiation. The spectrum of the background is related to the unification energy scale and the the sizes and numbers of large extra dimensions. It is shown that properties of the background observable by gravitational-wave observatories at frequencies f≈ 10-4 Hz to 103 Hz contain information about unification on energy scales from 1 to 1010 TeV, gravity propagating through extra-dimension sizes from 1 mm to 10-18mm, and the dynamical history and stabilization of from one to seven extra dimensions.
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