I do think for gravitomagnetism that magnetic moment, angular momentum, and mass have a relationship in some situations and you can have E and B for gravitomagnetism.
I was leaning in this direction too, but I've changed my mind a little since the C's said that EM gravity was an ether theory.
When I saw your mention of borders, it brought to mind an interesting description Seth had given on boundaries. How each universe (out of an infinite number?) sets & establishes it's own "rules" of camouflage. Within a unique boundary.
Another interesting Seth observation was about an individual's energetic "cocoon." A personal energy enclosure of sorts. This border & boundary stuff is really intriguing, but my comprehension is limited.
While reading some of the Seth stuff, I noticed that as far as I'm aware, Seth knew a few things that the physicists of the day didn't know. However, I think maybe the the ideas of camouflage really only make sense in terms of what Seth calls framework 2, which I think is what Don Juan calls the second attention. I think that since physics is a model of how framework 1 works, it doesn't have the conceptual scope to describe these kinds of energetic boundaries. However, I could be wrong about that... don't quote me.
OK, this is all pretty tenuous and hand wavy, but I want to post it anyway. Imagine, if you want, that an EM wave is spinning on it's magnetic axis, so that it's electric axis is spinning around in a plane. then the
b vector is parallel to the angular momentum vector (
L), and the
a vector is normal to the angular momentum vector (
L) and the ordinary momentum vector (
p), so let:
a =
L x
p/|
L x
p|
b =
L/|
L|
It's pretty straight forward to show that ∇ ·
L = 0, so ∇ ·
b = 0. And:
∇ · (
L x
p) =
p · (∇ x
L) -
L · (∇ x
p)
But ∇ x
p = 0, so:
∇ ·
a =
p · (∇ x
L)/|
L x
p|
This means that there is an electric charge density, assuming that
p · (∇ x
L) isn't 0, and there's no "magnetic charge" density, and the magnetic moment is always pointing in the same direction. This is my model of the electron, it's just theory, but theory is science too... I just ripped it off the "matter is trapped light idea." We can also do the same thing where the light is spinning on its electric axis, So there's no electric charge density, but there's magnetic charge density. I was going to call these "particles" magnetos, assuming I get to name them, but I think I'll name them after myself and call them archons.
Now on to some real science, there are 7 types of crystallographic symmetries:
*Translation (By some fixed length)
*Rotation (1-, 2-, 3-, 4-, and 6- fold)
*Reflection
*Inversion
The last three are composite symmetries:
*Glide plane, reflection and translation
*Screw axis, rotation and translation
*Roto-inversion, Rotation and inversion
The four basic crystallographic symmetries are unitary, so let the operator
U stand in for any of the symmetries. Assume now that if a potential displays one of these symmetries then
U commutes with the potential energy operator
V. This is OK because this is what they do to find
Bloch waves and I'm following that pretty closely here.
Alright, since
U is unitary:
Uφ = eiaφ
Where φ is the wavefunction in momentum space, and a is some angle or something. We can't do this with the wavefunction in position space because
V acts in momentum space. Let's now create a function:
f(p) = e-iqpφ
Uf(p) = eiae-iqp
Uφ
Uf(p) = eiae-iqpeiaφ
Uf(p) = ei2af(p)
So
Uf(p) = f(p) (f(p) has the symmetry) if a = 0, π, 3π/2, ...
This means that: φ = eiqpf(p), where q is the "crystal position," whatever that means. This is a Bloch wave in momentum space, for the case where
U is a rotation I like to call them Bloch spirals.
For the case where
U is a translation, a = Lp, so p = 0, π/L, 3π/2L, ...
The next thing to do is figure out how to calculate Bloch waves for some types of crystals and see whether the theory explains some observations. There are a lot of observations to explain, which is good, because we should know for sure whether this theory is worth anything.