
![]() |
This same mathematical form occurs everywhere in
the natural world, from
electromagnetic
fields to galaxies, from atoms to apples.
In mathematics, a HYPERSPHERE
is a sphere having more than three
dimensions.
Since the early twentieth century, physicists have used this idea of a
higher-dimensional sphere to describe a universe in which time is the fourth
dimension.
Today, cosmologists say that
the universe of relativity and
quantum
physics can best be understood when seen as a torus, or donut shape.
A universe containing black holes, white holes and "wormholes" conforms
best to this model. And a torus has the same formula (2pi2r3)
as the HYPERSPHERE.
As a model of the universe, the HYPERSPHERE shows how things emerge in time and are enfolded back into fabric of the universe.
The HYPERSPHERE also shows
how all things in the universe are interconnected, even when they appear
to be separate from one another. If you isolate point a from
pointb
in this diagram with cut c, the two points can still be connected--without
crossing the cut--by going through the center:
The
vortex,
which is a section of the torus, occurs throughout the natural world -
from
tornados,
whirlpools and electromagnetic fields to the formation of galaxies. And
the torus shape is not limited to vortices. An apple, a tree, even a human
being all share this same "toroidal" topology.
