Conceptual overview of elementary particles  and  the dimensions that they consist of

The next step is the red horn torus below the yellow circle. This represents a particle with 1 "e" dimension and 1 "v" dimension (note that a sphere does not fulfill the model's requirement on orthogonal dimensions). The actual particle is a 1D circle, orientated like the yellow circle in the previous model. It moves along the surface of the horn torus, in the direction orthogonal to the circle, with velocity c (second animation). The circle thus shrinks and stretches depending on it's position on the surface. Once its passes the center of the horn torus, it's diameter will be instantly zero, while the diameter will reach it's maximum when the circle passes the outer edge of the horn torus. The surface of the horn torus represents the proper time dimension for the particle.

Finally, we can visualize a particle with 2 "e" dimensions and 1 "v" dimension (e.g. a quark). This is shown in the combination of the red horn torus with the blue balls. A single instance of the pair-of-blue-balls is drawn here; the complete model actually consists of an infinite number of blue-ball-pairs with growing diameter that together represent the third (proper time) dimension. The torus now represents the actual 2D particle, while it moves along the surface of the blue balls with velocity c. The net effect is that the torus inflates until it reaches an infinite size when it reaches the top of the blue ball, and then begins to deflate again until it reaches the point where the two blue balls touch. It's size is zero then. After that, the whole cycle repeats itself. The "infinite" size that the torus reaches at a certain instant, is a result of the fact that we cannot observe the higher dimensional space that the whole construction is embedded in. For an observer with 4D spatial vision, the size would always remain finite, like we always observe the size of the moving circle as finite in the previous model.

Note that the way that this model would really show itself to us totally depends on the actual dimensions that play the roles of "e" and "v" . The description of the third model in fact applies to a photon (because all 3 dimensions exist in our 3D space). The instants of zero size correlate with the moment of absorption or emission of the photon by a charged particle while the intermediate states represent it's journey between emission and absorption. The instant of infinite (undefined) size allows the change of its path towards another charged particle (the animation actually shows a scene where the photon is emitted and absorbed by the same charged particle). The surface of the horn torus reflects the quantummechanical probability spread of the photon's position in space. At the moment of absorption (read: measurement) this probability instantly converts to 100% at the position of the absorbing particle.
 

Particle with 0 e  and 1 v  dimension	Particle with 1 e  and 1 v  dimensions	Particle with 2 e  and 1 v  dimensions