Lorentz Invariance and the Cosmological Constant

Abstract

Non-trivial solutions in string field theory may lead to the spontaneous breaking of Lorentz invariance and to new tensor-matter interactions. It is argued that requiring the contribution of the vacuum expectation values of Lorentz tensors to account for the vacuum energy up to the level that ${\Omega }_0^{\Lambda }=0.5$ implies the new interactions range is $\lambda \sim 10^{-4}m$. These conjectured violations of the Lorentz symmetry are consistent with the most stringent experimental limits.

13 pages, plain Latex. This essay was selected for an honorable mention in the 1997 Gravity Research Foundation essay competion

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