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 by keeping the distance in a reasonable range, such that the “distance locking” works.
• The upper (Proton blue) and lower (Neutron green) parts are still a little wobbling, but the simulation uses FIXED rotation centers which might be moving.

Self organized all

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

Comment: What when the closest neighbors change …

Icosahendron