Chapter 14
SED and Maxwell’s Equations

Maxwell's equations are the basic descriptions of electromagnetism and as such are critical to this theory where the model proposed is that of E-M fields flowing in a specific curved path - a roton formed by curl.

One form of his four equations is as follows:

Here E and B represent the two fields, and we have ρv, being electric charge density (in Coulombs per m3) and J, meaning electric current density. Additionally  and , are the magnetic and electric constants. Many alternative forms of these equations exist.

The first two (dot products) are associated with the divergence or spreading/contraction of both the E and B fields, while the last two (cross products) relate to the curl or amount of twist of these fields experience and their time rate of change. As Maxwell showed and this model incorporates, divergence of E creates electric charge but there is no divergence of B.. Secondly, it is the curl of either (amount of twist) that generates one field from the other in a dynamic manner and in a particular direction and frequency.

Unlike the straight-line photon, there is divergence of E in this model due to the field always pointing either inwards or outwards of the roton, when viewed from outside the particle, as shown in the section on charge and magnetism in figure 12 above. Thus, there must be a charge density inside the radius r0√2. Each loop is a spinor that twists the E-field back every 1800, preventing it from reversing sense as in a normal 2-D photon of light.

Regarding equation 2 above, it states that we never observe magnetic monopoles in nature. They do not exist. Likewise, according to this model, each loop is a magnetic monopole, but as one cannot exist without the other, we always have a magnetic dipole in the electron and other charged particles mase from rotons.

Equations 3 and 4 tell us that time varying fields are created from one another, due to curl or twist in this model. Significantly they show that the amount of curl determines the frequency or mass through this time rate of change. Note also it is only t at the cross over or node, where the two loops intersect, that the fields becomes momentarily zero, but the curl does not. This is when Ø0 swaps from one loop to the other. At all times though, the curl of one field will be creating the other because of the twist or structure of the roton.

As there is no current inside the electron, we can ignore the second term (J) in the last equation. We can then re-write Equation 4 as:

This shows that the curl of B is much smaller than that of E, because the time rate of change of both fields are equal, due to the symmetry of both loops and their equal frequencies. We see that the curl of E is negative compared to that of B. In other words, they oppose one another as they change. But they likewise create each other, and this is how light is able to continually generate itself in both the vacuum of space and inside matter to give it permanence.

 

The roton is the embodiment of Maxwell’s equations.

This pleases me mightily.

The Origin of Everything
(Online Edition)