In current physics, a photon vibrates into a complex dimension that doesn’t exist but in quantum realism it oscillates on space into a real quantum direction at right angles to its polarization plane. Recall that the quantum amplitude of a photon was defined to be at right angles to its polarization plane. Since our space has three dimensions, three orthogonal polarization planes allow three orthogonal quantum directions. The mathematics agrees that adding a fourth dimension to our space gives three new quantum directions not one, all at right angles to each other (Figure 3.18). This lets light at a point vibrate in three ways at right angles to the three polarization planes through it.
Light moving on an axis can polarize in two ways called vertical and horizontal, where a filter that blocks vertically polarized light doesn’t block horizontal polarized light and vice-versa. This is because light traveling in a direction has two entirely different quantum directions to vibrate into. These are at right angles to each other hence what blocks one quantum vibration doesn’t block the other.
PS. If physical space has dimensions (X, Y, Z), quantum space has dimensions (X,Y,Z,Q), with Q a fourth quantum dimension. Physical space has three planes XY, XZ and YZ but quantum space adds three more planes XQ, YQ and ZQ, so a photon vibrating into quantum space can do so in three orthogonal planes.