Electron electromagnetic structure

 

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 electronís 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 electronís 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 electronís 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.

Electronís 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


Electronís 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 electronís 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


 

Electronís magnetic field energy

The magnetic field energy density is:
























The electronís magnetic field energy is as the following




































This is the electronís magnetic field energy

The electronís electric field energy then becomes



So we get the electronís electromagnetic field energy as



Let us define


Then we have




Let us assume that the electronís mass has an electromagnetic origin, thus we have









For the electron, the ratio of the magnetic energy to the electric field energy is