Simulations and Animations

This is a simulation of 3 rotating Rotons and their trajectories when forces are applied according to the Roton-Model:

We can see two different types of animation:

• Di-Roton animations. In these animations, the Base-Rotons are shown as two dots (differently sized) keeping their fixed distance. The rest is calculated with the rotation attraction formulas [TBD: code is to be added here].
• Dot-Roton animations. These animations use single dots reflecting single energy-points. The calculations model any type of rotational waves between all the dots and apply forces in relation to the sum of all resonances applied by all combinations of other dots considered as being individual Rotons.

What can we see? Depending on the starting conditions (chosen wisely here) we can see stable states which do not lead to dots being sent into infinity caused by singularities. Typically in gravitation based models, particles which come to close to each other, receive a huge amount of energy caused by the division by near 0 caused by their short distance. This singularity issue does not apply for the Roton models. There is no force which mainly depends on distance.

The rotational forces defined in the Roton-Model might in many cases not be dependante on the distance of the Rotons. And if they are, two Rotrons with a radius r and a distance of d: if d gets smaller than r, this is no issue, as within a roton, the rotonal force does not apply anymore and remains constant (in the relevant direction at least). This is an important aspect of the stability of this model.

Mathematical model

For those eager to learn the mathematical and physical model you will find a conceptual description in the following paper: Mathematicl Model of Roton Simulations