Hi:
A 7-D universe like a 4-D universe has two
poles, but in the 7-D model, each "hemisphere" is not 1/2 of a sphere, but
a complete sphere. These complete spheres are superimposed on each other.
This means that a 7-D universe consists of Dual
or parallel realities, each with a macroscopic antipode, and each with a
microscopic antipode. The macroscopic antipode of our
universe, the "big bang" is the microscopic antipode (black hole)of the
antiverse (hence acceleration outward). The submicroscopic antipode of
singularity in our universe from 10 to the minus 31-33 cm or so is the
foundation of our atomic structure, and the reality we know. It is also,
the "big bang" of the antiverse.
Singularity in various states of attenuation
causes fictitious forces such as gravity, and seeming movement when the
static 7-D reality is viewed from a 4-D perspective.
In 7-D, every atom has a twin. which is mapped
in the matrix of space-time. Nothing gets lost, not us or anything. Can
North America get lost? It may drift around a bit but it definitely has
not and will not get lost in a 7-D reality.
Is there a difference between submicroscopic
singularity in either the universe or the antiverse and the huge "Black
Hole" out of which each hemisphere forms? The answer to this depends like
everything else in a GR universe on ones frame of reference.
Mathematically, any singularity has the same
description, but it is seen to act on the universe in different ways when
observed from different sides of the antipodes at different scales.
Following is some basic semi-technical info on
the part of this discussion relating to the S7 and antipode relationships.
Best Wishes, Sam Cox
For S7, Torsion varies with the position on the 7-sphere S7,
so you have to take that into account by considering
that the transport of B along A ends at one point on the S7
and the transport of A along B ends at a
different point on the S7 so that the one of
the two point tangent spaces must be mapped to the other.
Such a map has two parts: the map from one end
point to the other can be thought of as a path on a second
S7 7-sphere; and the map from one tangent
space to the other can be thought of as an element of the
14-dim Lie group G2 that is the automorphism group of the
octonions. Therefore, to make a Lie group
from S7 using its Torsion, you have to combine
(non-trivially) two S7 7-spheres with G2, producing the
7+1+14 = 28-dim Lie group Spin(8) that is the double cover
of the 8-dim rotation group SO(8). In the
D4-D5-E6-E7 physics model SpaceTime is parallelizable RP1 x
S7.. |