Roton Visualisations
The three videos below show how two flat circular waves can combine and form a 3-D soliton or roton with volume.
The 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 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 2: (Blender Quaternion MP4)
This is similar to the first 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.
Visualisation 3:
This video shows how the electric and magnetic fields act due to the twist inside the roton. The blue E-fields are always parallel in each loop creating what we call charge, and the red B-fields are always opposite creating two loops with opposite poles or what is a magnetic dipole and the magnetic moment of the electron.