  We present, for the first time, the quantization process for the
Einstein-aether scalar field cosmology. We consider a cosmological theory
proposed as a Lorentz violating inflationary model, where the aether and scalar
fields interact through the assumption that the aether action constants are
ultra-local functions of the scalar field. For this specific theory there is a
valid minisuperspace description which we use to quantize. For a particular
relation between the two free functions entering the reduced Lagrangian the
solution to the Wheeler-DeWitt equation as also the generic classical solution
are presented for any given arbitrary potential function.
