Sometimes I wish I could read my own handwriting... got my permeabilities and mass mixed up when reading the white board. My scribble for 'μ' looks too much like 'm', which I was initially using instead of L. Corrections:

The exploration of Dave's farad units led me to permittivity then to permeability, and I happened to notice that the units for mass, t

^{3}/s

^{3}are exactly the same for

*inductance*(measured in Henrys), which makes permeability looks a lot like mass/distance... t

^{3}/s

^{3}/ s.

Take the gravitational force equation: F = G m

_{1}m

_{2}/ r

^{2}.

It can be rewritten as: F = G m

_{1}/r m

_{2}/r (in terms of mass/distance... permeability)

Mass, in the RS, comes from the rotational systems of the atoms, namely the 2-dimensional, magnetic rotation. What is an inductor, but a magnetic rotation around a coil of wire. Same concept, with mass being a sub-atomic version of the inductor. How well these magnetic fields can permeate each other will give a strength of attraction or repulsion.

So... if we can express inductance as an imaginary quantity, Z

_{L}, why can't we treat mass as an imaginary quantity, since it is a polar, temporal rotation to begin with--best represented by an imaginary number?

Rewrite the gravitational force equation in terms of complex numbers, noting that we MUST include "w"--the angular speed, noting that is a 2-dimensional magnetic speed, and hence measured in steradians...

F = G (0 + jwL

_{1}/d) (0 + jwL

_{2}/d)

F = G (-w

^{2}L

_{1}L

_{2}/d

^{2}+ j0)

The imaginary component of the rotation disappears through dimensional reduction, leaving only a real magnitude.

One of the nifty things about complex operations is that the units stay the same, regardless of the operations you perform on them. The complex plane never gets off the ground, so to speak, in the fact you cannot increase or decrease the dimensionality of it, since an increase in dimension just moves you further around the circle. j

^{1}is just a 90-degree rotation, j

^{3}is 270 degrees. (a + bi) x (c + di) = (e + fi)... still one real and one imaginary dimension. Therefore, our units will still be in terms of wL... so what are they?

L/d = t

^{3}/s

^{4}

w = angular speed s/t, but 2-dimensional speed = (s/t)

^{2}

wL/d = s

^{2}/t

^{2}x t

^{3}/s

^{3}x 1/s = t / s

^{2}

Well look at that... Force = G x Force, and G becomes unitless and unit valued, and no longer needed in the equation. Or, perhaps the 2D angular velocity is what is being used for G, if it is disassociated with L. It belongs with L, not as a "universal constant."

F = (jwL

_{1}/d x jwL

_{2}/d)

t/s

^{2}= (t/s

^{2})

No "gravitational constant" required, and no fudge factors to make the units work.

I think the 2-dimensional angular speed may account for all the c

^{2}references we find in a lot of equations, if they were put into complex terms. For example:

E = m c

^{2}

given m (mass) = L (inductance) and w = 2D angular velocity, it becomes

E = wL

t/s = (s/t)

^{2}x t

^{3}/s

^{3}

One other thought is that the "distance" factor may not be a "clock space" distance scaling the rotation wL, but the "real" component in the complex form. The only problem with that, is that it will produce an imaginary component, which you don't get as a "clock space" scale. Might be worth investigating.

Bruce