Quantization of the Classical Maxwell-Nordström Fields

The classical electromagnetic and gravitomagnetic fields in the vacuum, in (3 + 2) dimensions, described by the Maxwell-Nordström equations, are quantized. These equations are rederived from the field tensor which follows from a fivedimensional form of the Dirac equation. The electromagnetic field depends on the customary time t, and the hypothetical gravitomagnetic field depends on the second time variable u. The total field energy is identified with the component T44 of the fivedimensional energy-stress tensor of the electromagnetic and gravitomagnetic fields. In the ground state, the electromagnetic field and the gravitomagnetic field energies cancel out. The quanta of the gravitomagnetic field have spin 1.