Rotonal Olavian Atom Model
We introduce the “Rotational Coupling Atom Model (RCM)” or in short “Olavian Atom Model” describing the existence and properties of atoms within the periodic system of atoms.
This is a proposal, how atoms and their structure and bonding might be explained on basis of the Quantum-Roton-Model.
Atom structure
Let’s start with a spoiler diriectly giving you a glimps on some orignal notes on this topic (not necessarily accurate):
This illustration shows protons and electrons (neutrons are omitted for now) and how they build electron-pairs via entanglement (long distance co-axial roation). The valence-electrons (sketched in magenta) do not have a sparing partner and therefore can not reach a nearer location to the center. The attraction is never-the-less created to the proton. So there are pairs of entangled electron-proton pairs and electron-proton-proton-electron double-pairs.
This can be visualized more closely in the following figures showing three atoms.
- Helium atom He with order number 2 (2 electrons)
- Berilium atom Be with order number 4 (4 electrons)
- Carbon atom C with order number 6 (6 electrons)
| Helium (2) |
Berilium (4) |
Carbon (6) |
 |
 |
 |
These figures basically show that the electron-pairs rotate in separate parallel planes (co-planar). This leads to attractive forces between these rotations which binds the electron-pairs closer to each other.
The electron spins are co-axial pointing into the center of the atom. This seems to result in the most optimal attraction. We are not going into discussion of necleus structure here, but further calculations show, that the shown Carbon Roton-Structure does not result into a stable oszillation. Therefore the shown model of the Carbon-Atom is actuall wrong.
Orientation variants of Electrons in an atom
The Roton model can give consistent explanations which stable positions and orientation electrons take within an atom.
The most favorouble constellation is an opposite coaxial orientation of the electron rotation axis (spins) in which they reach an energetically optimal constellation.
Please find the full detailed descriptions here
Layering of electron orbitals (Ledoigtian atom shell model)
Basic considerations:
- An optimal stable structure is reached, when electron rotations have a phase which aligns over time to a base phase.
- Every electron-pair is identically attracted to the center with the same distance independant force. This is supported by an “Electron <-> 2 Proton <-> Electron” entanglement.
- Every odd valence electron is attracted to the nucleus with a constant distance-independant force (Electron <-> Proton entanglement).
Resulting orbital structure:
Shell Radii Scaling in the Olavian Resonance Atom Model
Introduction
In the simplified Olavian Resonance Atom Model, electrons are particles on circular shells (at $r_n$) around a central nucleus.
Two guiding principles shape the shell structure:
- Constant central force: each electron experiences the same attractive force $F_0$ toward the nucleus, independent of its distance.
- Resonant phase synchrony: all orbital angular frequencies are integer multiples of a common base frequency $\Omega$, giving the atom a periodic stability and stable oszillations/resonances.
With these assumptions, the structure of the electron shells can be derived in a simple and elegant form.
Calculation
Please find the full detailed calculations here
Calculation Summary
Define the outermost shell (slowest rotation) with index $n=1$: $r_1 = \frac{F_0}{m \Omega^2}$
Then every other shell radius is given by the simple quadratic law: $r_n = \frac{r_1}{n^2} .$
This is the core result: the shell radii shrink inversely with the square of the resonance index $n$.
This exactly correlates with Boors standart model of electron shells.
Step 4: Derived orbital properties
Velocity relation: $v_n = \sqrt{\frac{F_0 r_n}{m}} = \frac{v_1}{n}$
Orbital periods: $T_n = \frac{2\pi}{\omega_n} = \frac{T_1}{n}$
The kinetic energy on shell $n$ is: $K_n = \tfrac12 m v_n^2 = \frac{K_1}{n^2}$
Because all frequencies are multiples of $\Omega$, the global atomic state is exactly periodic with common recurrence time: $T_{\text{global}} = \frac{2\pi}{\Omega} = T_1$
Discussion
- The model produces a $1/n^2$ law for shell radii, a simple resonance structure directly tied to the assumptions of constant central force and integer phase locking.
- Inner shells rotate faster and carry higher angular frequency, while their kinetic energies diminish as $1/n^2$.
- The entire atomic configuration re-aligns perfectly after the fundamental period $T_1$, ensuring stability of the resonant structure.
Conclusion
The Olavian Resonance Atom Model shows that even with a distance-independent central force, the imposition of integer phase synchrony is sufficient to generate a discrete shell structure. The natural outcome is a hierarchy of radii:
$$
r_n \propto \frac{1}{n^2} ,
$$
demonstrating how resonance principles can give rise to stable, quantized atomic configurations.
Distribution of electrons to shells
Animations
For a more fancy view this is an animation of a Berilium atom Be:
And an animation of a Carbon atom C:
The following is left unregarded in these visualizations:
- Detailed Structure of the nucleus e.g. neutrons
- Rotation speeds of the electrons in the different planes. The center-plane in the C-Atom might e.g. rotate slower than the other planes.
Model rules
The rotonal model intends to show how the universe might be built up with the exact same rules on every level of expansion of space. So the model does not give specific rules like: There are at most 2 or 3 co-planar planes in an atom. Why not?
Because nature does not do that either. Nature simply follows the process of energy optimization which depends on the surrounding expecially in the precense of other particles and atoms nearby. So a single isolated C-Atom might look completely different, than a C-Atom within a compount molecule with bonds. This is partially reflected in the following viualization. So a C-Atom which initially might come as a structure of 2 double-planes in 2 different axial orientations might change into a three planar system where the two electrons in the outer shell are not necessarily co-axially entangled anymore, but change into a energetically more optimal structure bonding with electrons of other atoms.
Further simulations might show, whether this model can show local optima which will build up the universe of atoms and molecules with these simple rules.
For further reading on the different attractive and detractive forces you might be interested in this part: Rotonal Forces