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- Spacetime-varying couplings and Lorentz violationPublication . Kostelecky, V. Alan; Lehnert, Ralf; Perry, Malcom J.Spacetime-varying coupling constants can be associated with violations of local Lorentz invariance and CPT symmetry. An analytical supergravity cosmology with a time-varying fine-structure constant provides an explicit example. Estimates are made for some experimental constraints.