Re: Gravitomagnetism
From: Danny Ross Lunsford (antimatter33_at_yahoo.com)
Date: 11/14/04
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Date: Sun, 14 Nov 2004 17:59:30 +0000 (UTC)
Oz <oz@farmeroz.port995.com> wrote
> I am imagining, at every point in spacetime, the following:
>
> 3 spatial dimensions
> 1 time dimension
> 2 dimensions configured as one complex number.
This is true in a certain limit, where the world separates into
spacetime and Matter.
> You say this formulation specifically embodies the distinction between
> matter and antimatter. Since your complex dimensions will allow a
> rotation either clockwise or anticlockwise, is this how you distinguish
> matter and antimatter?
Exactly - the distinction of matter vs. antimatter is purely
conventional. One can make a rotation in the 5-6 plane and change one
to the other. Because the "timespace" is 3D there is no
"forward-vs.backward in time" issue of order. There is simply Matter
with a capital M and that encompasses both anti- and koino-matter.
> I am unclear why the two extra dimensions need to be complex.
x5 and x6 (u and v) are real, but in a certain limit can be thought of
as a single complex value. In that limit and in flat space one has for
example a 6-d covariant gauge
div A + d/dt phi + d/du psi + d/dv chi = 0
that splits into 4+2 form
div A + d/t phi = 0
and
d/du psi + d/dv chi = 0
The condition that there be no creation/annihilation becomes
d/du chi - d/dv psi = 0
so (chi + i psi) can be thought of as an analytic funtion of (u + iv).
If we insist that the potential be bounded, then by Liouville's
theorem, chi and phi are constants. So the limit mentioned amounts to
a strict separation of Matter and 4-d spacetime. The 6-d vacuum
devolves to a 4-d one with light and no Matter.
-drl
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