As we know, for the electron point model, there are singularity problems. In order to avoid the singularity problem, let us assume that the electron electromagnetic model is as follows:
Where e is electron’s electric charge unit,
is the electron magnetic moment.
g is the magnetic charge unit defined as:
Electron Electric charge
Since we know the electric charge density:
Then we have
Thus we get the electron’s electric charge density distribution as:
X coordinate is the radius with as the distance unit
Y coordinate is the electric charge density with e as the electric charge unit.
The electric charge within the sphere of radius r is as follows:
X coordinate is the radius with as the distance unit
Y coordinate is the electric charge density with e as the electric charge unit.
When
The electron as a whole has one unit negative electric charge.
Electron Magnetic Charge
Given the magnetic charge density is:
Then the electron magnetic charge is as the following
The above equation is the magnetic charge distribution equation inside the electron.
When
and
We get electron magnetic charge of northern hemisphere as:
The electron northern hemisphere has a magnetic charge of 3/2g
When
and
We get
The electron as whole has zero magnetic charge.
The electron’s electromagnetic field angular momentum
The electromagnetic field angular momentum density is defined as:
Below is the electromagnetic angular momentum:
Using the electron electromagnetic field equation, we can get the following:
Based on our electron model, the electron always has half spin, the electron spin has an electromagnetic origin and the electron spin is the electromagnetic field angular moment.
Electron’s magnetic moment
The potential energy of the electron magnetic moment in a z direction magnetic field is as follows:
The potential energy of the electron magnetic moment in a negative z direction magnetic field is as follows:
Thus we have
As we also know:
Thus we can get the electron magnetic moment as
As we know
When
Then
Thus
Electron’s Electric field energy
The electric field energy density is as follows:
X coordinate is the radius with as the distance unit
Y coordinate is the electric energy with as the energy unit.
When
We can get electron’s total electric field energy as
Think of the electron as a capacitor C, thus we have
From the above, we get the electron capacitor as
Electron’s magnetic field energy
The magnetic field energy density is:
The electron’s magnetic field energy is as the following
This is the electron’s magnetic field energy
The electron’s electric field energy then becomes
So we get the electron’s electromagnetic field energy as
Let us define
Then we have
Let us assume that the electron’s mass has an electromagnetic origin, thus we have
For the electron, the ratio of the magnetic energy to the electric field energy is