Electric and Magnetic Fields in the Roton Model

Glossary

This glossary defines the most important concepts, terms, and symbols used throughout the Roton Model.


Basic terms

Roton
Fundamental rotational energy unit. A roton is a basic rotation unit defined via it’s orientation, frequency, radius and phase. Each Roton carries a constant amount of energy via its rotation state.
Rotation State (Rotonor)
A compact description of a Roton’s orientation (axis), angular frequency, phase, and if relevant a radius. Determines coupling, alignment, and field behavior.
Rotonal Field (Relevant LEDO Field project)
The base field describing rotonal resonance attractions
Roton Alignment Field (ADR / $E$)
A field describing the current alignment axis imposed by the collective orientation pattern of many Rotons. This field is limited to a given Roton span. The projection of the Integral over all directions from the LEDO-Field on the resonance span (magnitude/mode) of a Roton at a given point in space. (Hey folks language is awkward when we need to be formally correct and consistent)
Roton Curl Field (IGT / $B$)
A field describing the effective change of the orientation of the Roton axis imposed by the alignment field. This might be of precession nature. The imposed reaction to the force of the collective orientation pattern of many Rotons. Forms the basis of the different orientation imposing fields on different scales in this model.
Alignment Resonance Potential field (ADR)
Inertial Gyro-Tensor field (IGT)
Electron ($e$)
A quantum unit of a directional electrical field. The localized source of a directionally free linear rotating double-wave induces by a Roton into the LEDO-Field the size and mode of an electron.
Magnet
One or multiple captured electron(s) bound to matter with additional strong spatial resistance in its rotation axis. Every freely moving electron will adhere to this as an attractive force change when traveling through this field.
Positron ($e+$)
A simple electron locked in position and axial direction. The quantum unit of a magnet, an electron frozen in space.
Neutron ($N$)
An empty shell capable of holding an electron in place.
Proton ($p$, $e+$)
A shell capable of holding an electron in it’s place and orientation. Yes, there is no positively charged element, there is only the “absence” of a free rotating electron which consumes part of the entangled field of an electron. An electron entangled with it’s positron
Electric
Predicate for all aspects of rotonal fields applying to Rotons the span of an “Electron”
Electric Roton Alignment Field = Electric Field ($\mathbf{E}$)
The spatial pattern of Roton alignment direction (usually drawn orthogonal). A static $\mathbf{E}$ corresponds to fixed orientation patterns.
Electric Roton Curl Field = Magnetic Field ($\mathbf{B}$)
The circulating orientation response of Rotons to a time-varying rotonal alignment pattern (tilting force). Describes swirl/curl behavior.
Rotonal field
Sum of all static and dynamic influences onto or from a Roton.
Electron Rotonal Field = Electric Field ($\mathbf{E}$)
The spatial pattern of Roton alignment direction (usually drawn orthogonal). A static $\mathbf{E}$ corresponds to fixed orientation patterns.
Electron Curl Field = Magnetic Field ($\mathbf{B}$)
The circulating orientation response of Rotons to a time-varying rotonal alignment pattern (tilting force). Describes swirl/curl behavior.
Curl ($\nabla \times$)
A measure of how much a field circulates around a point. Non-zero curl indicates loop-like or vortex-like behavior.
Displacement Current
The effect of a time-changing rotonal field producing a magnetic field, expressed as
$$ \nabla \times \mathbf{B} = \mu_0 \varepsilon_0 \frac{\partial \mathbf{E}}{\partial t}. $$
Roton Coupling
The interaction strength between the rotation states of two Rotons, depending on their axis alignment, phase, and resonance conditions.
Interaction Radius ($r_e$)
The effective circular cross-section through which a Roton’s directed influence interacts with another Roton.
Emission/Entanglement Force ($F_e$)
The constant directed-force component emitted along a Roton’s rotation axis. Determines the effective inverse-square behavior.
Effective Hit Probability
Probability that a rotating Roton’s emission axis intersects the interaction radius of another Roton, scaling as $1/r^2$.
Cylindrical Beam Model
A representation where each Roton emits a constant-width cylindrical influence, leading to the geometric origin of the inverse-square law.
Coulomb Mapping
The identification
$$ \frac{F_e r_e^2}{2} = k_e e^2 $$
which connects the Roton emission model to standard Coulomb forces.
Induced Alignment Field
A circulating electric field produced by a changing magnetic field, given by
$$ \nabla \times \mathbf{E} = -,\frac{\partial \mathbf{B}}{\partial t}. $$
Roton Resonance
A frequency- and phase-dependent interaction between Rotons leading to attractive or repulsive alignment behavior.
Roton Locking
A condition where a Roton’s rotation state becomes constrained by local inertia or matter, functioning as a positive charge in the model.
Tiers and spatial locks
Tier 1: A Photon is the first level (Soliton/Sonon) of a single Roton object and is only locked in one single direction. It can therefore travel in linear direction in full speed with no imposed inertia. In addition, there is no inertia imposed by any rotational substructures. There is only one exception where it might travel on a curved trajectory: when this does not demand changes in rotation axis = axis is orthogonal to the curve plane.
Tier 2: A Neutrino has two rotating axis. This allows it to travel (nearly) at the speed of light provided it can align to the current center of the rotonal force with both axis. So one axis orthogonality to the rotation plane through the attractive force. And the second.
Tier 3: Electron built of 3 Level-1 Objects. It is locked in place and therefore bound to it’s 3 rotation axes. Constantly moving into one direction is Ok. But as soon as

(Could it get flat?). Inertia holds it back from traveling faster than some coupling constant.