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Geometry: An Archetypal Form of Communication
By Eldon Taylor
The Picture of Sound
Years ago I noticed an uncanny correlation between mantras and
mandalas. A mandala is the picture or symbol of an event or focus
of worship, such as the Star of Bethlehem, and a mantra is a sound usually
intoned for centering and contact such as ohm. When Handel wrote his classical
Messiah, it was to celebrate the birth and life of Christ. When the hallelujah
chorus is sung, a perfect five pointed star or Star of Bethlehem is produced.
Did Handel knowingly create the music for this purpose? I don't believe
so. Still, somehow he tapped into a form, a geometry,
and intuited music that represented the geometry.
Geometry and Sound
My interest in this correspondence between the early pictorial interpretations
of sound patterns and frequencies led me into a long
and continuing research project. Just how often does sound correspond
with form? Is there a sound to the DNA molecule? Could sound be generated
from the geometry? In other words, could some
mathematical method yield a geometry of creation?
For most, geometry is a boring subject studied in High
School. For others, it is the sacred path to the Ultimate.
For still others, it is a science that when applied outside of
the realm of pure abstraction (mathematical theory) is both predictive
and creative. That is, through the use of geometry,
functional forces can be directed such as geomagnetic
or electromagnetic fields.
Geometry is the stuff of Pythagoras, Hermes, Thoth, and so many
more mystical thinkers that it is hard to overlook. In every
spiritual tradition, there is a path written in geometry.
The Sufi, in their dance, the Hebrew in their Cabbalah, the Egyptian
in their structures and sciences, the Greek in their brotherhoods, philosophy
and universities, the Rosicrucian, the Mason, the Hindu, the Native American,
and on and on all honor and employ geometry both as a science
and a mystical path. Is it possible that a true archetype
of a universal nature begins in geometry itself? In other words,
is geometry the archetype?
Cymatics is the study of the sound of geometry (see
my book, Subliminal Communication, p6061). Early researchers
used a stylus vibrating across a turntable covered with fine sand to
picture sound. The stylus was sensitive to frequency and signal strength.
Thus, when a sound was played, the turntable turned and the stylus vibrated.
The result, a picture in sand. This method was laborious and time consuming,
but it worked.
The Universe is kind and patient. For me, due to my interest in this
work, the chore was made much easier. Today I have a remarkable device
in my studio that is essentially a rotating arm full of light emitting
diodes (LEDs). The LEDs are sensitive to frequency and signal strength.
They are colorized across the spectrum to coincide with frequency length.
As such, when I put a sound into the spinning lightbar, a color motion
picture results. The continuous geometry of sound in real time.
Over the past five years, using this rotating lightbar, I have witnessed
the math of the DNA helix, generated in sound through a special
software program, reproduce the geometry of the helix on my lightbar.
Indeed, using many of the rates from Radionic research, I have seen what
I believe to be the organic geometry of cells, tissue,
organs, and morebut save all this for another issue.
Geometry of Creation
Back to the point at hand, geometry appears to be not only an
aspect of science and mysticism, but an archetype with the power of what
might be called a morphogenic field. Biologists believe that
morphogenic fields define the characteristics of species and species differentiation.
In straight forward terms, it is the morphogenic field that accounts for
why an acorn always becomes an oak.
The accomplished behavioral scientist, Carl Jung, is generally credited
for the modern notion of archetypes. An archetype is an essential
image that universally communicates without linguistic need.
Dream images are often thought of as having representative meanings universal
to all. These images are referred to as archetypes.
Archetypal imagery is powerful. It pulls at some level
of consciousness in ways that are meaningful but usually difficult to
describe in words. Geometrical archetypes exist everywhere
and I am frankly puzzled as to why this is yet a basically unexplored
area of science.
Let's digress a little at this point and look at a very brief history
of geometry and science. It is instructive to realize that modern
science has its beginning with Galileo Galilei. He was the first to carry
out systematic experiments and to use mathematics to describe his work.
To Galileo, mathematics was geometry. Actually, at the
time of Galileo, there were two distinct forms of mathematics available.
Geometry, and the math derived from early Indian mathematicians known
after its Arabic name given by the Persians as algebra. Algebra is a system
of equations as you all remember from your school days. Rene Descartes
combined these two systems thereby producing pictures of equations in
what is today known as analytic geometry. As important to science
as this was, it nevertheless fell short of being able to deal with nonlinear
equations. This problem was solved by Isaac Newton a century later. To
make a long story short, for various reasons mathematics tended away from
geometry until recently. Jules Henri Poincare is credited
with reversing this trend with a system of visual mathematics
known as topology or "rubber sheet geometry". It is
upon this system that the mathematics of complexity lie. It is also in
this system of mathematics that chaos theory demonstrates a higher order.
Now, it is not in the scope of our enquiry to spend the necessary time
to adequately review mathematics, but for those of you interested, the
best history, description and application of historical mathematics as
applied to modern science that this author is aware of is given by Fritjof
Capra in his marvelous book, The Web of Life.
Here is the reason for our digression. It is geometry that makes
sense out of our most contemporary theories in the physical sciences.
From the Nobel prize winning work of Prigogine and his
theory of dissipative structures to the latest theories
proposing an all life connectedness, a network of life, a one ecology
of life, the Gaia Hypothesis, or the metaphor used by
Capra, the web of life; the intelligent self organizing
nature of the planetnature as alive. These new theories are gaining
prominence chiefly on the back of mathematical models/geometry
that illustrate order arising from chaos. Not just order, but
a higher order. It would seem that not only does the
law of conservation (nothing lost) apply to nature, but when order seems
to break down, it's really reorganization destined for a higher order.
An apparently self organizing reorganization that reveals itself as a
geometric process.
Geometry as a Primordial Archetype
I return to my question, is it possible that geometry is the
primordial archetype? Is its elegance and simplicity capable
of ordering everything in the universe? Is it due to this ancient intuited
knowledge, noetic wisdom, that so many hold geometry as sacred?
Could it be that when we know the form we discover the function? Is
geometry the language of creation? Certainly many can and have
shown the geometric progression from singularity to space/time
universe. Indeed, multidimensional theories currently so popular
in physics, including the string theory, our most promising hope for providing
a general unified theory, are strongest in their appeal when laid open
by geometry.
Since I write this newsletter, I'll venture an opinion. Geometry
is a fundamental archetype. It is also more.
To that end, after showing many the effect of geometrical shapes
naturally organizing and changing, of fractals collecting into
a higher order, of shape and color generating what many have perceived
as the matrix, cookie cutter if you will, of all that we know in our physical
world and much of what we theorize about, it was decided to join geometry
with our patented Whole Brain® InnerTalk™
technology and create video tapes.
As with anything, as the new product evolved, it was tweaked. In the
end, the geometry vibrates in permutation to an amazing
dance of color. It is stillness in motion to watch. The rotating kaleidoscope
of colors are used to hide positive messages. Sometimes you see them as
the color changes, but unless you still frame your video they do not normally
reveal their entire word content. So maybe one sees the word "good"
but misses the "I am" content in the sentenceat least consciously.
Of course, the research shows your subconscious doesn't
miss it.
The soundtrack, music and nature sounds, also carries the positive messages.
Additionally, we added tones and frequencies with a canceling beat differential
to entrain the brain, slow down brain wave activity, and produce a natural
deep state of relaxation or altered consciousness. The best partthey
work. Our trial subjects, bankers, businessmen, dental patients, secretarial
and clerical persons, truck drivers and so forth have all reported the
same absolutely mesmerizing affect followed by a sense of personal empowerment.
Geometry For Health?
For me, this is a beginning. The use of geometry holds many possibilities.
Some of these are not abstract mathematical methods for scientists. Deep
down I sense that the visual stimuli may even hold a new path
to wellness. Perhaps, I have theorized, if the geometry
of a healthy organ were presented together with its sound, that
somehow the body would imitate, mimic, vibrate or sympathetically resonate
to this sound picture and thereby restore its own health. Somewhat analogous
to tuning a piano, tuning the body and mind through the sound picture
of organic geometry.
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