Lorentz Invariance and the Cosmological Constant

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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 Ω₀Λ = 0.5 implies the new interactions range is λ 10⁻⁴ m. These conjectured violations of the Lorentz symmetry are consistent with the most stringent experimental limits.