This chapter goes into the question of why an electron has the size that it has and what role the Higgs field from standart quantum physics might play.
We’ll dive into how much the so called Higgs field might match with the Roton Model’s proposal of a single meta-field (resonance medium) with the name Ledo-Field.
There is a unified resonating meta-field (the Ledo-Field) with waves, temporary resonances and stable rotating entities. All existing fields in the standard quantum model and their manifestations (e.g. light/electrons/bosons) are different forms of resonances at different frequencies, with varying distance, magnitude and amplitude scales. A field in standard physics gives each point in space a value, e.g. the electrical field and its gradient define how an electron in space “shall” move - related to charge only. The Ledo Meta-Field itself is an underlying field, containing waves, resonances and rotations which induce the separated standard physical fields. So the standard physical fields are projections of the influences of the meta-field within a considered scale. Therefore the meta-field induces movement to all types of observeable entities and their interactions in an equivalent or homologous way. Rotations within the meta-field on the scale of an electron for instance, are usually modelled as a single point (center of rotation) within the standard electric field.
As mentioned in other parts of the Roton-Model description, we already mentioned, the question, why an electron hase the size and mass which it has? The Roton-Model proclaims, that it has this size, because all other electrons in the near part of the universe have this size based on a specific resonance frequency that is found in the base medium. This base frequency might by intrinsic but more likely just a common resonance frequency which electrons tend to have found over time.
Let’s have a look into this interpretation.
Standard Theorie
What does the standart model of quantum physics tell us about the size of electrons? It sais that the size of an electron is solely defined by local constant, like the mass of an electron and other constants. Does that ring a bell for you?
The size and mass of the electron are deeply intertwined:
The classical electron radius depends on the mass: $$ r_e = \frac{e^2}{4 \pi \varepsilon_0 m_e c^2} $$
The Compton wavelength also depends on the mass: $$ \lambda_e = \frac{h}{m_e c} $$
Thus, the electron appears to be “as big as it is” only because it has that particular mass.
But then the question arises: why does it have that mass in the first place?
This is the chicken-egg problem of the electron:
mass defines the size, but the size also defines the energetic content we interpret as mass.
This again gives us some indication, that rotation of a given radius might define energy/mass which is responsible for part of the attractive physical forces.
In the Standard Model of particle physics, the electron (and all fermions) acquire mass through their interaction with the Higgs field:
$$ m_e = \frac{y_e , v}{\sqrt{2}} $$
Key points:
However:
The Higgs field is a scalar quantum field that permeates all of space.
Its defining property is that it has a non-zero vacuum expectation value (VEV):
[ v \approx 246 ,\text{GeV} ]
Through this background value, particles that couple to the field acquire mass.
For the electron, this is expressed as:
[ m_e = \frac{y_e v}{\sqrt{2}} ]
where (y_e) is the electron’s Yukawa coupling.
The Higgs field interacts with fundamental fermions at a pointlike level.
In this view:
But this raises a conceptual tension:
if the electron is fundamentally pointlike, why do we still observe effective scales (Compton wavelength, Bohr radius in atoms)?
This suggests that the Higgs mechanism may not be the final word on the electron’s size.
In an alternative picture, the electron’s mass is not fundamental but emerges from a resonance with a universal background oscillation:
In this view, the Higgs field could be interpreted as the mathematical description of this universal oscillation. The Higgs-Boson would be the resonance on the corresponding size level or sub-structures. The Yukawa coupling would then reflect how strongly different particles “resonate” with that background.
Several observations suggest that the electron is not purely pointlike:
Compton wavelength:
[
\lambda_e = \frac{h}{m_e c} \approx 2.4 \times 10^{-12} ,\text{m}
]
This defines a natural length scale for the electron.
Classical electron radius:
[
r_e = \frac{e^2}{4 \pi \varepsilon_0 m_e c^2} \approx 2.8 \times 10^{-15} ,\text{m}
]
Though not a true radius, it shows the electron’s effective electromagnetic size.
High-energy scattering experiments (LEP, SLAC):
They have probed electrons down to (10^{-19}) m without revealing substructure, but this does not exclude an effective size as resonance.
Quarks and electrons both couple to the Higgs field.
Protons and neutrons are then combinations of quark energies, whose effective masses come from:
This interplay suggests that stable particle sizes are linked both to the Higgs field and to internal rotational modes.
In the Roton model, all fundamental entities are extended objects with size.
There are no true point-particles:
Applied to the electron:
Thus, the Roton model complements the Higgs picture by providing a physical reason for the existence of size and mass.
If the Higgs field is viewed not just as a scalar constant but as a medium with local energy-density gradients, then:
In this interpretation, the Higgs field might be the basis medium of the Roton model, where:
Starting from the sub-structure we will continue the construction of protons and quarks and their correlations. But his will have to wait for other articles.
Red Shift of Light Imagine light being sent out from a far place in the universe which is usually defined by processes of the size of atoms. If standart physics proclames a constant increase of the “size” or “bending space” of the universe - could not electrons and atoms increase in size too? So the red-shift does not actually occurr because the light wave is scewed, but because the light emitting source was smaller (actuall in this case bigger) at the time the light was created. A bigger atom would emit light of a longer wavelength. Could this indicate, that the universe is actually shrinking? This just lets you open the space of how interpretation highly depends on Chicke-Egg natured problems.
Red Shift of a photon
Remember the roton model defining a photon as a rotation of two base field peaks around each other? Now if these base peaks start drifting appart (to what reason ever) their wavelenghts increase. This is basically observed for objects farther away in the universe. This is typically taken as a proov that the size of the universe and the distances are constanly increasing. Now what if there is another reason for this red-shift?
Imagine a sphere where a laser light starts from the center in a most straight direction. You can make the light source hole as small as you like, it will allways have some slight scattering. So the longer the light travels the more it will receive the form of a funnel. So even a “single” photon might geometrically spread its size over time. This is not something the roton model actaully proposes. What it would propose is this: Not much yet ;-)
Remember measuring $m_e$ will depend on measuring time so we might not actually measure any time independant change of $m_e$ directly. Or rather the attraction a given object enforces on the resonance level of its size.
Summary:
The Higgs field provides a framework for mass generation, but leaves the electron mass unexplained in absolute terms.
In this view, the Roton models Ledo field is not a field in the sence of “One value at each space location” we must see it as a “meta-field”.
A resonance-based picture could offer a deeper origin, where both electron mass and size emerge from a fundamental background oscillation of the universe itself.
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