Natural Science Forum / Physics / Particle Physics / June 2005

The vacuum charge can be calculated as follows:

m = mrC/rC

Mass is inversely proportional to the Compton radius.
The constant of proportionality, mrC, is about 3.51767e-43 kg.m

Qe = sqrt(alpha.mrC / muE)

where

Qe is the electron charge = 1.60217653e-19 C
alpha is the fine structure constant = 7.297352568e-3
muE is the electron magnetic constant = 1e-7 kg.m.C^-2

For the vacuum the equation is:

Qv = sqrt(alpha.mrC / mu0) = about 8.01088e-20 C

where mu0 is the vacuum magnetic constant = 4e-7 kg.m.C^-2

You can see that the equation is:

Qx = sqrt(alpha.mrC / mux)

Where x is a specific particle.

Here are the magnetic constants for the known charges.

Electron, muE = 1e-7 kg.m.C^-2
Up Quark, muU = 2.25e-7 kg.m.C^-2
Vacuum, mu0 = 4e-7 kg.m.C^-2
Down Quark, muD = 9e-7 kg.m.C^-2

The charge of the electron is 6/3 the vacuum charge.
The charge of the up quark is 4/3 the vacuum charge.
The charge of the down quark is 2/3 the vacuum charge.

I wonder what mass the vacuum charge has?

It may also be of interest to note that:

rC = alpha.rB

where rB is the Bohr radius.