Proton structure via self organization

This chapter shall discuss, if simulations of the roton model will result in some structures similar to a Proton/Neutron.

Naming

We need a name for the (presumably) electron Rotons which create the grid of a neutron/proton: Trion. We need a name for the distance in the grid between these oscillation points: q-span. We need a name for the Rotation size of a Trion within the nucleus structure: Q-Tons.

Structure

Basic rules

A Trion has 3 independent Rotonal axis and can keep 3 Rotonal connections while keeping its place stable. A Trion can build up to 3 entanglements to other Trions An entanglement can either be attractive (anti-parallel) or it can lead to stable distances (parallel). There are temporarily repulsive situations too. A smallest stable distance is given by some initial Wavelength of a Trion. (This is not the Compton wavelength)

Optimal geometries

There are a few structures how circles (needed for rotating Trions) can be placed on a sphere which are very stable regarding internal or external forces like pressure.

Variants

6 sided cube

12 sided doecahedron

20 sided icosahedron

We start building our system with groups of 5 Quids (Q-Tons):

We concentrate on the Alpha-Particle for now. It consist of the components of 4 Nuclei.

Animations

Basic pattern

We start with a icosahedron with 20 faces and place the Trion each having 3 parallel entangled (distance locked) connections.

Adding circles

Now we add circles, those will be the rotation paths for the Trions.

Fixed bands

First we give a fixed rotation phase, to verify how stable this might be:

Self organized Phase

Now we let the phases be self-optimized for the constant distance between the Trions.

This shows a longer running system with stabilization of the phases over time:

Result:

• The system can have stable oscillations and rotations with keeping the distance in a reasonable range, such that the “distance locking” works.
• The upper (Proton blue) and lower (Neutron green) are not quiet in sync at the middle part. Improvement: The simulation does not allow them to move freely yet, they are still fixed to their rotation circles.

Self organized all

Now we let the sphere away and let the points decide.

This is rather some prove of concept before adding the required additional full Rotonal attractions to the simulation.

Comment: What when the closest neighbors change …

Icosahendron