Roton Visualisations
The four videos below show how two flat circular waves can combine and form a 3-D soliton or roton with volume.
The first two show how the overall roton shape comes about as well as the creation of electric charge and magnetism in the electron. The third and fourth videos were made by capturing a dynamic screen dump from the free open-source animation program called Blender. It’s available to download from Blender.org and required to open the blender files below.
Blender has been used as a 3-D oscilloscope which is a device for viewing oscillations in a graphical form. It shows that mathematically and geometrically the roton is a valid structure combined from two circular sources or waves.
Visualisation 1:
This graphic is a general view of the roton’s motion showing how matter is made from light. Of significance is the fixed path length or energy and the ubiquity of Plank’s constant h. The equivalent boson has the size of the yellow equator - a photon. However, this roton has two loops each half that radius. That is why fermions have a measured spin of h/2 at any one time. Angular momentum (h = mcr) is shared sequentially between two loops. First one then the other. It is never measured in both at once.
Our roton spins at the speed of light and in the electron it does this at 10²⁰ times per second.
In addition, these two loops in the roton make up a spinor, which we are now able to visualise for the first time.
Visualisation 2:
This graphic shows how the electric and magnetic fields act due to the twist inside the roton. The blue E-fields are always parallel and pointing upwards in each loop creating what we call charge, and the red B-fields are always pointing in the same direction, that is into one loop and out of the other, creating two loops with opposite poles or what is a magnetic dipole and the magnetic moment of the electron.
Visualisation 3:
This shows how Blender depicts the electron as a dynamic field object moving in 3-D space. You can see how the white dot moves around the yellow circle while simultaneously revolving in a circle in another dimension. The trace of this path forms the roton (a spinor). The motion for this is in normal degrees which can be seen in the green section on the right of the Blender Stage.
Visualisation 4:
This is similar to the third visualisation but here the variable motion uses quaternions and not degrees. These are an alternative method of describing circular motion using four-dimensional numbers, and very convenient for physics.