If our space is a three-dimensional surface, light wave vibrations can travel on it as water waves travel on the surface of a pool, given quantum directions outside our space.
One might expect adding a quantum dimension to our space to add one new direction, but according to mathematics it adds three. In Figure 3.18, each of the three perpendicular planes that cut through a point in space has its own distinct quantum direction, so adding a dimension to space produces three new quantum directions at right angles to each other (Note 1).
A photon is then a transverse wave that vibrates in a direction at right angles to its polarization plane. Current physics calls this direction imaginary, but if quantum directions actually exist, light passing through a point can vibrate in three directions, all at right angles to each other (Figure 3.18).
Light moving in a given direction then has two independent ways to vibrate, because its movement uses up one dimension. This explains why light can polarize in two ways, vertical and horizontal, based on the two quantum directions available to its axis of movement. These polarizations are at right angles to each other, so a filter blocking vertical polarized light doesn’t block horizontal polarized light, and vice-versa, as observed.
Vertically polarized light vibrates in a quantum direction at right angles to horizontally polarized light, so a filter that blocks one doesn’t block the other, but what happens if the filter turns 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. A point in physical space with three orthogonal planes XY, XZ and YZ through it then has three orthogonal quantum directions outside our space. A photon with any polarization plane can vibrate into a quantum direction at right angles to it.