This is given by Eq. (17) from which the vector spin connection may be computed. The usual dipole magnetic flux density is given by Eq. (10), which is broken out into its three scalar Cartesian components in Eqs. (11) to (13). The tensor Taylor series is applied to each component. ECE2 theory automatically gives the vacuum correction through the definition (3). The standard model fails completely to account for the vacuum field because it defines the magnetic flux density using equation (2), without the spin connection. Clearly this calculation is impractical by hand, but straightforward by computer algebra, using the program written by Horst for isotropic averaging. The tensor Taylor expansion is very fundamental and general and can be applied throughout the natural sciences and engineering to research the effect of the vacuum on physics. I expect that the graphics for this calculation will display hitherto unknown patterns due to the vacuum. The computation can be carried out in any coordinate system, not just Cartesian.