CLASSICAL GRAVITY AND QUANTUM MATTER FIELDS IN UNIFIED FIELD-THEORY

The Einstein-Schrodinger purely affine field theory of the non-symmetr ic field provides canonical field equations without constraints. These equations imply the Heisenberg-Pauli commutation rules of quantum fie ld theory. In the Schrodinger gauging of the Einstein field coordinate s U-kl(i) = Gamma(kl)(i) - delta(l)(i) Gamma(km)(m), this unified geom etric field theory becomes a model of the coupling between a quantized Maxwellian field in a medium and classical gravity. Therefore, indepe ndently of the question as to the physical truth of this model, its an alysis performed in the present paper demonstrates that, in the framew ork of a quantized unified field theory, gravity can appear as a genui nely classical field.