  An approach to quantization of fields and gravity based on the De Donder-Weyl
covariant Hamiltonian formalism is outlined. It leads to a hypercomplex
extension of quantum mechanics in which the algebra of complex numbers is
replaced by the space-time Clifford algebra and all space-time variables enter
on equal footing. A covariant hypercomplex analogue of the Schr\"odinger
equation is formulated. Elements of quantization of General Relativity within
the present framework are sketched.
