I have been enjoying this thread
Claude Bragdon's book "The Fourth
Dimension, a Primer to Higher Space" is
one of the most approachable
treatises I have read on this subject.
One theory I have postulated
concerning the "Big Bang" and the "'ere expanding universe,"
is the idea of the hypersphere. While
our habitual 3 Dimensional thought can't really
get around this model, there are some
clues that can point in the right direction.
We tend to think of the universe as
an expanding 'ball' but thinking with 4D symbols
like the hypersphere, the periphery
folds back upon itself.
In other words, if I shot an arrow
with enough force into space...in ANY direction,
it would eventually end up where it
started. (the 3D version of this is if you take
off walking in any direction on
Earth, you would eventually come back to the starting point.)
4D models like the hypersphere
and hypercube really don't have beginnings
endings in the classical sense,
just new right angles in relation to the previous
dimension. (every new
dimension runs at a right angle away from the previous
..'frinstance, a one
dimensional line _________enters a new 2 dimensional
space when a right angle is added to it L
Then yet another direction (depth) is
embarked upon with the 3D
The Tesseract is a 3D Cube where each
new line runs at a right angle
to the previous line.
Now the challenge is, how do we add
right angles to a sphere, as in the instance
of a hypersphere.
I get glimpses, but only mathematics
can approach it so far
Imagine, if you will, trying to escape a fourth dimensional
Devoid of a normal beginning or end, you would be stuck in
realm of sorts---subject to the laws of hyperspace. How you
escape? You can wander aimlessly all you want but wandering
do you any good; you'll get no closer to the end. In fact,
might go insane. The psychological strain is akin to being
dropped into an M.C. Escher painting. Tell me: How
beginning and end appear in four space?
*******I recommend two books to take some exercises
from----first, a few years ago Steiner's lectures on the Fourth Dimension were
translated and published. In the Theosophical movement there were a few people
working with the idea of the 4th dimension about the turn of the 19th-20th
century, like James Hinton and Claude Bragdon, and Steiner took their work as
a starting point, such as the 4th-dimensional cube, hypercube or "tessaract".
He continued with this throughout his life, so the lectures span the period
from 1904 to the 1920's.
Another Theosophist who
started with Hinton's work was Russian mathematician P.D. Ouspensky, who
unfortunately later fell under the influence of Gurdjieff; but before meeting
him, he published a brilliant work entitled Tertium Organum. When Edgar Cayce
in trance was asked how to understand and experience higher dimensions he
recommended Ouspensky's book (along with Bucke's Cosmic Consciousness,
American physician William Jay Hudson's Law of Psychic Phenomena and William
James' Varieties of Religious Experience, by the way). It has a series
of exercises, developed from Hinton's starting-point, by which you can
experience higher dimensions. I've used this book for 25 years and can testify
As a former Waldorf math and science teacher
and projective geometry exponent, I would be happy to do a series of posts
here about this, although we will still have the same problem with so many
people not getting their e-mail in real time so that they will lose the
diagrams (since no JPEGs are saved with the text messages on the web site).
That would necessitate doing diagrams and uploading them to the Files section
of the group, and then people would have to go find the diagrams there---- but
since so many people refuse to use this method of communication as it's
intended to be used there would be little other choice.
have been very busy but could do something like the above starting this month
or next, if there's enough interest to justify the time expenditure, as there
was not in the case of the astronomy last
firstname.lastname@example.orgSearch the archives of the group at:
books by Rudolf Steiner at:
books by Rudolf Steiner at: