As the last chapter concluded, our 3D space is a surface within a higher dimensional network. It is contained by a 4D quantum space that allows directions at right angles to it, so light can travel in empty space by vibrating at right angles to it, which vibration defines the polarization plane of a photon. Light then travels on the surface of space as water waves travel on the surface of a pond.
One might think that adding a dimension to our space just adds one new direction but mathematics tells us it isn’t so. Adding a dimension to our space gives three new directions not one (Figure 3.18), all at right angles to each other. Each of the three planes that cut through a point in space has its own quantum direction at right angles to the other two. Allowing one more dimension outside our space then allows three new quantum directions (Note 1). This lets light passing through a point vibrate in three independent quantum directions for the three independent polarization planes it has.
In this model, light vibrates at right angles to its polarization plane, into a quantum direction that is outside our space. Current physics represents this direction by a complex value it calls imaginary, but in quantum realism there really are three quantum directions. However, light moving in a given direction has only two possible quantum directions, because its movement uses up one dimension.

This explains why light moving in a direction can only polarize in two ways, called vertical and horizontal. The quantum directions of each polarization plane are at right angles to each other, so a filter blocking vertical polarized light doesn’t block horizontal polarized light, and vice-versa. A filter blocking light polarized in one plane does so because its matter occupies that quantum direction, but it doesn’t occupy the other, so light vibrating that way passes right through it. Light traveling in a direction has two different quantum directions to vibrate into that are at right angles to each other, so what blocks one vibration doesn’t block the other. What then happens when a filter that blocks all the light in one polarization plane is turned on an angle?
Note 1: If physical space has dimensions (X, Y, Z), let quantum space have dimensions (X, Y, Z, Q), where Q is a fourth quantum dimension. If a point in physical space has three independent planes XY, XZ and YZ through it, this allows three independent quantum directions at right angles to them, so a photon with any polarization plane can vibrate into a quantum direction at right angles to it.