Hi Ray,
According to the tables I found there is no table with magnetic charge in it.
Dirac hypothised magnetic charge in the Maxwell equations, but when we take a closer look at what he called magnetic charge, we see that the quantity he had is in fact electromagnetic flux. Below e = 'electric' em = 'electromagnetic'.
In this respect it is interesting that the hall effect shows quantized electromagnetic flux.
[math]K = \frac{\text{em-length}}{\text{e-instant}}, \ \frac{\text{em-flux}}{\text{e-string}}, \ \frac{\text{em-burst}}{\text{e-charge}} [/math]
[math]U = \frac{\text{e-charge}}{\text{em-length}}, \ \frac{\text{e-momentum}} {\text{em-flux}}, \ \frac{\text{e-energy}}{\text{em-burst}} [/math]
[math]\epsilon_{0} = \frac{\text{e-instant}}{\text{em-length}}, \ \frac{\text{e-string}}{\text{em-flux}}, \ \frac{\text{e-charge}}{\text{em-burst}} [/math]
[math]\mu_{0} = \frac{\text{em-length}}{\text{e-charge}}, \ \frac{\text{em-flux}}{\text{e-momentum}}, \ \frac{\text{em-burst}}{\text{e-energy}} [/math]
First I thought that the table with mass could also contain marble quantities and the table with gmflux could also contain wooden quantities. This was because in the electromagnetic tables we had electric flux, electric charge, magnetic flux and, although hypothetical, magnetic charge. Those four have the same dimensionality. Electric charge and electric flux are in the same table and in the same cell. Magnetic charge and magnetic flux are in the same table and in the same cell. Therefore I thought that in the same table all wooden quantities had their marble variant and visa versa.
This view went into trouble because of three reasons: The first reason. Look at the following quantities:
Magnetic induction B (the so called 'magnetic field')
Electric field strength E (the so called 'electric field')
Magnetic field strength H
Dieƫlectric displacement D
Now in my mind I had a picture of an electromagnetic wave as electric and magnetic fields undulating. And the quantities that described those two physical objecs would be both marble and would have the same dimensionality, but would be in different tables. The strengths of those fields would be the electric field strength E and the magnetic field strength H. But in the Maxwell equations the fields describing electromagnetic waves are E and B. I was wrong. E and B are in the same table and are both marble, but they don't have the same dimensionality. They differ by velocity which can be seen in for example the Lorenz force: F = q(E + v B). If we want an anology of this in spacetime, then the electric and magnetic fields are just like a 'length field' and a 'time field' alternating.
The second was by analyzing the fluxes. Magnetic flux (em-flux):
[math]\phi_m = \int \int_A B dA.[/math]
Surface area A, the magnetic field B and phim are all marble. There are two different quantities called 'electric flux'. The first electric flux [math]\phi_e = \int E dA .[/math]
is in the same table as em-flux and therefore is marble. phie is one cell below phim. It has not the same dimensionality as em-flux but it rather has the same dimension as em-burst. They differ from each other in the same way as E differs from B. (Later I realised that phie is electric flux in Gaussian units).
The second electric flux is:
[math]\psi_e = \int \epsilon E \cdot dA.[/math]
This electric flux has the same dimensionality as magnetic flux and is in another table. This electric flux remains in the same cell as electric charge. So this had to be the marble counterpart of the wooden electric charge. But this turned out to be wrong. Because of the 'epsilon' in the equation psie is a wooden quantity and not a marble quantity.
Although we had two electric fluxes, neither of them was both marble and provided with the same dimensionality as em-flux. And because magnetic charge was hypothetical I had no reason anymore to suggest that a table could contain both marble and wood.
The third reason. If a table could contain both wooden and marble quantities of the same dimension, then the wooden and marble quantities in the same cell would also have the same planck value. Marble planck units have a lower limit (i.e. planck length, planck time etc.) and wooden planck units have an upper limit (i.e. planck mass, planck energy etc.). But how could a planck unit be both an upper limit and a lower limit?
But if I am right that there are no wooden and marble quantities together in the same cell, then I have to conclude that magnetic charge can't exist next to magnetic flux. In the quantity table there are no cells left for magnetic charge to reside in. Or magnetic charge must have it's own table, but then it has no influence on the magnetic- and electric field anymore, and that was the whole idea behind the conjecture of magnetic charge in the first place.
Let me ask you, what is the planck value of magnetic charge? (I guess you can't find it on the internet)
Greetz, Peter