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May 28, 1993
IONA-DB.ASC
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THE DIAMOND BODY: BUCKMINSTER FULLER & THE QABALA
by Iona R. Miller, c1992
IO [I/O] is the cry of the lower as OI [O/I] of the higher. In
figures they are 1001, in letters they are Joy. For when all is
equilibrated, when all is beheld without all, there is joy, joy, joy
that is but one facet of a diamond, every other facet whereof is
more joyful than joy itself.
Aleister Crowley, The Dragon-Flies
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SACRED GEOMETRY:
According to most creation stories, out of primal Nothingness, the
All or Everything emerges or emanates forth. Paradoxically,
everything seems to come from nothing. How does nothing become
something?
Energy "crystallizes" into matter in the womb of empty space, a
dynamic Void. Mass is simply a form of energy. This process is
structured by an underlying, invisible, geometrical lattice.
Actually, it is pre-geometric. Because it has no true physical
existence, it is metaphysical (beyond physics). This threshold of
matter, where nothing becomes something, is of great philosophical
interest.
Actually, materialism (a natural philosophy) is a theory of
metaphysics. It is metaphysical thinking to consider static matter
as a primary reality. In fact, any attempt to describe reality is
metaphysical speculation. In its dynamic form matter cannot be
separated from energy.
Energy is a property of matter, which can be considered potential
energy. The mystic believes in matter, but believes it is more than
science has yet discovered. Even before Western science began,
mystics believed that mind, consciousness, or spirit is a property
of matter. It hardly matters, philosophically, if you consider it as
manifesting force or manifesting spirit.
Page 1
The nature of reality is that matter-energy must be taken together.
The theory of relativity conceives of this single substance as a
distortion of the structure of space. Physicist Ian Barbour writes
that,
"...in quantum theory, separate particles seem to be temporary
and partial manifestations of a shifting pattern of waves that
combine at one point, dissolve again, and recombine elsewhere;
a particle begins to look like a local outcropping of a
continuous substratum of vibrational energy."
That vibrational energy is governed by the laws of probability.
But what subtle forces underlie matter-energy and space-time? All
form and power are latent within the void. The Heart Sutra tells us
that, "Form is not other than Void, Void is not other than Form."
This implies that our human form is not other than void, and
biophysics shows this to be true.
Our physical makeup is largely emptiness. If we conceive of humans
as being most fundamentally electromagnetic entities, instead of
chemical beings, we can imagine our finer existence as wave-fronts
in space. Our personal "space" is not utterly empty, but cannot be
conceived apart from our matter exhibiting itself in particular
ways, i.e. as "waves."
Yet, the void state, or primal matrix, is "cosmic zero," and
proportionately our most fundamental reality. It is part of the
surrealistic quantum realm. It lies within us all, for the relative
space between our atoms is astronomical. This is the ground state
of existence which mystics seek in their meditation, moving beyond
mind and maya. It is that state of consciousness where outer
perceptions cease, and consciousness is free to simply be.
Throughout the centuries, various geometrical forms have been
revered as expressions or metaphors of higher spiritual truths.
These sacred forms and symbols are a natural part of the collective
consciousness which emerges in every generation. We project them
outwardly from within our psyche because they are so fundamental to
our existence. That apprehension is intuitive. Certain typical
forms recur in meditation and ceremonial practice, worldwide.
When something emerges from nothing, it does so via non-Euclidean
geometry, coming to occupy space/time. Einstein used non-Euclidean
geometry to explain the relativity of time and space as the geometry
that is produced by matter or matter by geometry. The perception of
the transcendental or metaphysical aspects of geometry is intuitive.
There are examples of philosophical geometry or geometrical
philosophy from around the world. These traditions are found in
India, China, Egypt, and Great Britain, to name a few.
Plato, Archimedes, and the Pythagoreans based much of their
philosophical speculation around the nature of geometrical form,
suggesting that mathematics and structural forms had ultimate
status.
Our modern science has never forsaken the tradition of seeking the
understanding of forms that provide shape and meaning to physical
reality. Euclidean geometry describes the nature of the human
Page 2
scale, but non-Euclidean models the cosmos and microcosm. More and
more intricate forms of measurement became the basis of the
scientific method. Eventually, this led to modern topology--the
study of those properties of geometric figures or solid bodies that
remain invariant under certain transformations.
Heisenberg explained that, "The elementary particles of modern
physics can be transformed into each other exactly as in the
philosophy of Plato." In "sacred topology", the relationships are
more than metaphorical. Metaphysical and physical reality coincide.
This is abundantly illustrated in R. Buckminster Fuller's
geometrical tour de force, SYNERGETICS I & II. Fuller demonstrates,
via synergetics, that the whole is greater than the sum of its
parts, because of the relativity of forces.
In our universe, as more complex systems are built up, new
properties appear that were not foreshadowed by the parts alone.
These emergent properties include life, conscious awareness, and
beauty.
Plato's Academy in Athens had a policy: "You are not allowed to
enter here, unless you know geometry." In the dialogue, Meno, Plato
describes Socrates teaching geometry to a slave. In true Socratic
form, he does not instruct him directly. Rather, he elicits
knowledge from the slave which he did not know he possessed. The
diagrams themselves elicit the buried intuitive knowledge of a world
inhabited by the gods and by the divine "Forms."
In Plato's view, before birth we were familiar with purely
mathematical "objects" and relations, as well as moral ideals or
values. He alleged that we lost this knowledge at birth, but can
recover it through revelation. For Plato, the virtues paled in
comparison with the highest capacity of the soul, which is the
mystical beholding of the eternal. Mystics tell us the divine is
formless.
Actual space is not empty, but the possibility has always been a
controversial problem in philosophy. Aristotle found the concept of
a total void unacceptable. Scientists still cannot make a perfect
experimental vacuum. Astronomy shows us that matter is averagely
distributed, with roughly as much matter between the stars as there
is within them. Yet, there are large voids in space, with stars
clustered on the outer edges of these bubbles of void. The
preponderance is of volumes of empty space over volumes of matter.
So, the characteristic feature of the universe is not matter, but
empty space. Again, most of the interior of the atom is empty, as is
the space occupied by the galaxies, and the vast regions which
separate them. Stars, atoms, and the vacuum are a seamless whole.
The notion of the eternal nature of sacred emptiness is echoed in
modern quantum theory. This is not ordinary, but dynamic and
receptive emptiness. The central concept in Quantum Field Theory is
that of the field, which exists everywhere and everywhen. It is a
field of curved space/time. Matter is not separate from its
surrounding space. The field can take the form of quanta or
particles. It is the fundamental physical entity, the only physical
reality.
Page 3
The field contains the potentiality of all possible states or
conditions in the universe. Of these states, the most fundamental
is the Ground State, (or "vacuum state"). Matter is rare in the
universe. Most of it consists of a very volatile, excited, ionic
plasma. Only 5% of matter is neither too hot, nor too dilute, to
congeal as a solid, liquid, or gas. This form of matter is so rare
it has been described as 'trace contaminants.'
Yet, some form of matter is essential to all activity. All matter
is in motion. Activity is the essence of being. From the "cosmic
zero", everything -- the totality of "excited states" -- arises by
creative processes. It is also the state into which everything
subsides by absorption processes. The ground state is characterized
by the fact that it stretches to infinity, uniform and changeless.
It is the same everywhere and everywhen because of the identity of
space/time. Within the universal field the values of the ground
state and excited states are all one. An unlimited amount of
particles come into being and vanish endlessly. Matter is thus a
temporary manifestation of the Void.
The so-called "cosmic zero" was modeled by geometer/philosopher
Fuller in the figure he called Vector Equilibrium, (V.E.). It might
actually claim to be the first "Buckyball," the one Fuller himself
described. This geometry is the precursor of the new elemental
'Fullerenes.' The V.E. geometry has been recognized for a long time.
It was one of the thirteen Archimedian solids, the cuboctahedron.
But the Greeks were fascinated with regular forms whose faces were
all the same, such as the cube. They failed to understand the
delicate balancing act the cuboctahedron symbolizes. They simply did
not notice that Vector Equilibrium is pristine equanimity because
they were looking elsewhere. The Greeks never really comprehended
the energic or energetic properties of Vector Equilibrium, i.e.
dynamic stability. They had a static, non-relativistic view of
natural philosophy.
It remained for Fuller to assert that,
"zero pulsation in the Vector Equilibrium is the nearest
approach we will ever know to eternity and god."
(ABSOLUTE stillness..see Russell on the Magnetic Shaft of Stillness)
The conceptual model is the closest our minds and senses can come to
that cosmic realization, short of mystical revelation. Mind alone
cannot fathom the depth of this Void. Geometry is a construct of
the intellect.
The V.E. center is primal "emptiness." It is a mathematical anomaly
where the normal laws of the space/time continuum break down. It is
not a symbol of ultimate order. It looks like a very rational,
orderly system, but it is ultimately irrational. It defies logic.
V.E. is the breeder of wave-particle duality, the uncertainty
principle, and non-locality at the quantum level. It is a zone of
neutral resonance where waves can pass through waves without
interference, according to Fuller. Yet, it never physically exists
as a structure, since nature abhors a vacuum.
Page 4
In quantum mechanics a system can never have an energy of exactly
zero. There is no such thing as absolute emptiness. However, the
minimal motion of the ground state is called zero point energy, or
zero point motion.
Cosmic zero exists, paradoxically, in the realm of the psyche (our
conceptualization) and in quantum reality in the atomic nucleus
expressed as force. It is the form of formlessness, the root
metaphor. It also forms the roots of the cosmic Tree of Life, since
there is a fine-to-non-existent line between organic and inorganic
matter on the quantum scale.
Physics is the patterns of organic energy, all of which are dynamic,
alive. Mass is energy, so the subatomic world is always restlessly
in motion. Inert matter is full of motion when we look closely at
it. The activity of matter is its essence.
Vector Equilibrium emanates/condenses from a center in twelve
fundamental directions. This emergent energy moves outward through
space/time in the form of a cuboctahedron, alternating with its
mathematical reciprocal, an octahedron-within-a-cube.
It is a truncated cube with 50 symmetrically positioned topological
features. Vector Equilibrium has the same surface area as a sphere,
yet contains no volume, i.e. it contains "nothing."
The Vector Equilibrium system has 12 vertices, 8 triangular faces,
24 edges, and 32 planes. It is omnidirectional equilibrium,
symbolically and physically speaking. As such, it is a perfect
symbol for "holding the tension of the opposites," or "uniting the
opposites."
Yet, it is more than a metaphor. It is an archetypal image which
bridges the macrocosm with the microcosm. It is a living example
of the Hermetic Axiom, "As Above, So Below," uniting spiritual and
literal reality. V.E. makes it possible to make conceptual models
of other dimensions (hyperspace), mathematically and mystically.
In the V.E. figure, equilibrium between positive and negative is
zero. It is the equalization of the forces of push/pull,
radiation/gravitation, or tension/compression. Fuller alleged it
"represents the limits of the mind's ability to conceptualize 'in'."
For Fuller, all of space/time is undergird with a pre-geometric
matrix, which is an infinite field of vector equilibria. An entire
universe can be seeded from one V.E., self-generating to fill all
space/time. There may be no ultimate physical building-block of
matter, but there is one single entity that undergirds and composes
everything in the universe, according to Fuller. The basic element
of the universe is dynamic patterns.
This field constitutes a "cosmic blueprint" which Fuller called the
Isotropic Vector Matrix (I.V.M.), a living continuum. The
allocation of divinity to this "mother of all fields" marks its
archetypal character. As a variation on the theme of Celestial
Goddess, it symbolizes the embodiment of nature. Like a modern
Isis, it iterates the theme of the underlying, inseparable cosmic
web or net, connecting all. The living Void gives birth to all
phenomenal forms. It pulsates with the rhythm of creation and
Page 5
destruction of material particles. Another goddess, Nuit, is the
essence of Infinite Space. She is infinite energy density pervading
the entire cosmos. She is the receptivity of the void to the
wavelength of radiation. Adjusting the geometry of the void
influences the propagation of radiation. The goddess Ma-at, or
Balance, is another expression of the same universal V.E. energy.
The Upanishads identifies Brahman with the void:
Brahman is life. Brahman is joy. Brahman is the Void. Joy,
verily, that is the same as the Void. The Void, verily, that
is the same as joy.
The geometry of Vector Equilibrium is inferred from that of closest-
packed spheres of equal radius. It just happens to be the geometry
which underlies all matter since it is found in the nucleus of all
atoms as sub-atomic force. Here, in the interior of the atoms,
Newtonian physics does not apply. This is a probabilistic, acausal
world. Here synchronicity prevails over chronicity.
This uniform geometrical field, with the property of Divine
consciousness, is the basis for a geometrical model of reality
spanning the abyss between the metaphysical and the physical. It is
not the first model in history to attempt to do so. There is an
ancient geometrical model which shares a common framework with the
Vector Equilibrium.
THE GEOMETRY OF THE QABALA
The ancient mystical system of the Qabala is formulated around the
geometrical glyph known as the Tree of Life. This sacred geometry
system came down to us through Judaism and Hermetic Philosophy. It
is one of the main currents of thought in the Western Occult
Tradition.
A mathematically accurate image of the Tree of Life can be
constructed by dividing a vertical line into four equal lengths and
filling in four intersecting circles, using a fourth of the line as
radius. The nexus points are the positions of the 10 spheres, and
connecting paths join the centers of the spheres.
(Add Drawing A)
The spheres represent states of consciousness or ways of being,
while the paths are ways of transition or change. It symbolizes all
ways of being and becoming. Like the quantum field, it contains
the potentiality of all possible states or conditions in the
universe. It is just the ancient way of saying it, and it turns out
to be physically provable. The ancient model coincides with state-
of-the-art physics. The 10 spheres and 22 paths yield a total of 32
planes of reference, like the Vector Equilibrium.
This "tree" was first described in writing in the Sephir Yetzirah,
or The Book of Formation. Legend says the book came to Abraham, from
God, through an angel. Today, we might say it was "channeled" from a
divine source. Jewish scholar, Gershom Scholem dates the work
around the third to sixth century. However, there is some
astronomical evidence that the system does date from the time of
Abraham, approximately 4,000 years ago.
Page 6
Whether the patriarch was the first to receive the revelation, or
not, this archetypal consciousness map encodes a system of spiritual
wisdom and growth in geometrical form. It describes the nature of
the universe, consciousness, and the creation. It seems to have
intuitively anticipated the discovery of the physical nature of
reality.
The glyph itself was used as a meditation devise by students of the
Qabala, an oral wisdom tradition. One aim of the qabalists was to
see the Tree always, everywhere, in everything. Another essential
doctrine of Qabala is that humans possess a "spirit body" that can
detach itself from the physical body and ascend to higher planes.
Most modern students of Qabala are familiar with the standard 2-
dimensional representation of the Tree, which is drawn "flat," even
though the circles are always conceived of as spheres. There is also
a long tradition of a so-called 4-dimensional Tree of Life diagram,
based on The Book of Formation. This geometrical figure consists of
two interfacing pyramids surrounding a central core, within an
enclosing cube.
This octahedron-within-a-cube happens to be the crystal structure of
diamond, a face-centered-cubic lattice. Recalling that Abraham is
also the patriarch of the Moslems, it is interesting to note
reference to a spiritual body, a "diamond body", in the writing of
Shaikh Amad Ahsa'i from the 13th century. Speaking of a substance
akin to that of the medieval Philosopher's Stone, he equated the
"diamond body" with the "Resurrection Body" of the faithful believer
in the Paradise of the future Aeon.
For the Qabalists, meditation on this figure provided a mystical
body as a vehicle for consciousness in imaginal space. This diamond
body was used during meditation to enter the inner court of
Divinity, symbolized by the center of the figure. Here the
Beginning and End of time are co-temporaneous, space ceases to be a
hindrance, and the mystic beheld the ecstatic vision of the Lord on
His Throne. The geometry was a "gateway" to another dimension of
experience.
This Alpha-Omega point has all the physical qualities of Vector
Equilibrium. The ancient meditation practice was known as Merkabah
mysticism, and those who practiced it called themselves, "Riders in
the Chariot." They claimed to see into the future. This insinuates
that the figure is a "vehicle" for moving consciousness through
imaginal time and space. It seems to be a metaphysical "time
machine," or inter-dimensional gateway.
As in most design or mandala meditations, the aspirant pictures him
or herself at the center of the figure through visualization,
contemplation, and identification. Through this process of
centering, these mystics came to know themselves and God. Perhaps
they learned, as Fuller later discovered, of the unusual anomalous
conditions of perfect equilibrium. This meditation provided a
specific technique for escaping from time. Its realization meant
instantaneous enlightenment, a paradoxical leap out of Time. It
yields transcendence.
Occultist, Paul Foster Case published an array of this type in his
book, The Tarot (1947). Aware of the ancient mystic practice, he
Page 7
included the figure in his study of Qabala, calling it alternately
the Key of the Cosmos and Numbers, or the Cube of Space. Again, we
have the form of the octahedron-within-a-cube. Vector Equilibrium
and the Cube of Space are mathematical duals, or reciprocals of one
another. They "jitterbug" back and forth as the figure grows
outward to fill all space. They are two ways of looking at the
same geometrical phenomena.
Case pointed out that its construction was based on the six-pointed
Star of David, (or Shield of David), also known as "The Star of the
Macrocosm." His descriptors of zero as a sacred, empty,
consciousness field reiterate the qualities of Vector Equilibrium.
Zero is a symbol of the absence of quality, quantity, or mass. Thus
it denotes absolute freedom from every limitation whatever. It is a
sign of the infinite and eternal Conscious Energy, itself No-Thing,
though manifest in everything. It is That which was, is, and shall
be forever; but it is nothing we can name. Boundless infinitely
potential, living light, it is the rootless root of all things, of
all activities, of all modes of consciousness. In it are included
all imaginable and unimaginable possibilities, but it transcends
them all. The Qabalists call it: (a) No-Thing; (b) The Boundless;
(c) Limitless Light. Pure Conscious Energy, above and beyond
thought, to us it is Superconsciousness.
With their fascination for completely regular figures, the Greeks
devised a way of establishing XYZ coordinates within a cube. Our
science and method of orientation has been stuck with that model
ever since. However, nature's own most economical coordination is
in triangles and tetrahedra, rather than squares or cubes. Vector
Equilibrium is more in line with modern Quantum Mechanical models
than the Newtonian XYZ. It expresses more degrees of freedom.
So, close examination of the underlying geometry of the Tree of Life
reveals that the ancients were not lacking a very deep intuitive
awareness of the true structure of matter and the universe. The
underlying geometrical matrix of the multi-dimensional Tree is, in
fact, Vector Equilibrium. To find the commonality -- the harmony --
the figure of the V.E. must be subjected to a transformation
process, i.e. rotation.
To bring the two figures into synch, simply rotate the V.E. to any
edge of its containing cube. If the 3-dimensional V.E. is drawn
flat, the inherent geometry of the Tree of Life is immediately
revealed, including some of the so-called "hidden" paths.
A symbolic representation of the optimal union of opposites, it
means in psychological terms, "holding the tension of the
opposites." This is the essence of the Tree of Life. The theme of
union of opposites has reverberated down through the ages. It was
the process/goal of alchemy, creation of the Philosopher's Stone.
Now, Jungian psychology carries the torch of this philosophical
pursuit. Both Vector Equilibrium and the Tree of Life express this
most elegantly and economically in terms of minimal graphic
elements.
(Add Drawing B)
TREE OF LIFE
Page 8
By combining the vectors of a V.E. nested within a cube, it is
possible to derive the nexus points on which to construct the entire
Tree of Life. In The Anatomy of the Body of God, (1925), Frater
Achad, (magickal name of Charles Stansfield Jones), revealed an
amplified Tree of Life projecting from a center in six directions.
Rather than a flat depiction, his revelation showed Trees radiating
in the four cardinal directions, plus up and down. This is another
variation on the theme of XYZ coordinates. Yet, V.E. can be shown,
once again, to be the skeletal matrix on which the figure congeals.
The geometrical duals yield all the necessary nexus points to form
the entire Tree of Life, including the 11th mystery sphere, Daath.
Achad's advice for modern Qabalists says, ...since the "Tree" is
everywhere the same in every part of space, once its general
attributions are fixed in the mind, it is not well to confuse
ourselves by too much attempt at progressed expansion of the idea.
Rather we would return and contemplate the Centre from which All
proceeds, thus obtaining the Pure Essence Here and Now.
This concept of a self-generating, self-iterating, all-space
filling, crystalline system seems to herald the modern discovery of
the fractal nature of the universe. Whether we look at the
macrocosmic, mesocosmic, or microcosmic level, we find the same
principle operating. By following any portion of the consciousness
map "backwards" and "downwards" to the center, we have a conceptual
means of entering that most pristine state of consciousness where
All becomes No-Thing.
(Add Drawing C)
V.E.
GEOMETRICAL IN-SIGHT:
These systems are virtually pre-geometrical. They don't really
exist in nature, per se. Yet they are the invisible lattice, or bare
bones, of our physical and spiritual life, of all life and
manifestations. In this pre-geometry we have a blueprint for the
formation of all matter, all form. This is the geometry of closest-
packed spheres in the nucleus of the atom.
Yet, Vector Equilibrium is more than an expression of nuclear
forces. It is "an endlessly interlinked chain of atomically self-
renewing links of omni-equal strength or of an omni-directionally
interlinked chain matrix of ever renewed atomic links, "according to
Fuller. No single configuration of matter persists indefinitely.
All is change and recombination. V.E. describes the most economical
lines of movement within the atomic nucleus. And, it also is the
structural matrix of a very ancient and sophisticated consciousness-
changing technology. Through it we remember deep knowledge of our
true nature.
Noting the metaphysical aspect of physics, physicist Wolfgang Pauli
said,
"We should now proceed to find a neutral, or unitarian,
language in which every concept we use is applicable as well
to the unconscious as to matter, in order to overcome this
wrong view that the unconscious psyche and matter are two
things."
Page 9
We have, in the V.E. model, a language or information transfer
system that bridges both the physical and the spiritual, Fuller
says, "In this model the physical and metaphysical share the same
design." The mundane and supernatural share the same design: "As
Above, So Below." It creates a mystical revelation described as
ecstatic, blissful, joyful, transcendental.
Goethe's Faust opens with the mage contemplating the qabalistic,
geometric design of the Macrocosm:
What jubilation bursts out of this sight
Into my senses--now I feel it flowing,
Youthful, a sacred fountain of delight,
Through every nerve, my veins are glowing.
Was it a god that made these symbols be
That sooth my feverish unrest,
Filling with joy my anxious breast,
And with mysterious potency
Make nature's hidden powers around me, manifest?
Am I a god? Light grows this page--
In these pure lines my eye can see
Creative nature spread in front of me.
But now I grasp the meaning of the sage:
"The realm of spirits is not far away;
Your mind is closed, your heart is dead.
Rise student, bathe without dismay
In heaven's dawn your mortal head."
(He contemplates the symbol.)
All weaves itself into the whole,
Each living in the other's soul.
How heaven's powers climb up and descend.
Passing the golden pails from hand to hand!
Bliss-scented, they are winging
Through sky and earth--their singing
Is ringing through the world.
In Aion, psychologist Carl Jung reiterates the identity of psyche
and matter:
Psyche cannot be totally different from matter, for how otherwise
could it move matter? And matter cannot be alien to psyche, for how
else could matter produce psyche? Psyche and matter exist in the
same world, and each partakes of the other, otherwise any reciprocal
action would be impossible.
To know ourselves is to know the nature of cosmos. The yogis and
masters tell us that matter is mind or consciousness at its most
fundamental or gross level. From the dawn of history mankind has
employed sacred geometries for metaphysical orientation and creating
consciousness maps. Most maps of the psyche imply a "journey"
either to the heights or depths of experience. Long ago Heraclitus
alleged, and mystic artist William Blake agreed, that the way up and
the way down are one and the same.
Metaphysical models usually speak of an ascent to utopian heights or
"inner planes." Psychological models are usually concerned with
Page 10
descents into the subconscious depths and use subterranean imagery.
These depths were the familiar territory of shamans for millennia.
Both the occult and transpersonal psychology models include heights
and depths of human experience. Maslow introduced the concept of
"peak experiences" to psychology.
We may have the erroneous idea that peaks, or heights, or "highs"
are "good." This is mainly because we are enculturated to strive
upward.
This is only one of a myriad of states of consciousness, and it
belongs to manically over-achieving heroic ego. Negatively
directed, this same energy can produce an all-time high in a
sociopath or criminally insane personality, during a heinous act.
All that is "up" is not "good"; and, all that is "down" is not
"evil." This misapprehension is the root of the notion of a
spirit/matter duality, where all matter is inherently "evil". In
this belief system, "we exist: therefore we are sinful." Yet, our
heights and depths contain the first-hand experiential knowledge
that 'we are one.'
This old system of orientation and modeling the universe, with its
ascents and descents of the soul, was adequate for many years.
However, for the modern individual, with a consciousness that is not
earth-bound, the old hierarchical model is no longer the best
metaphor. Today we are not confined to the spectrum of reality
dictated solely by our finite senses.
We are directly aware of physical realities ranging from the sub-
atomic to the cosmic. Our perceptions are amplified with technology.
New ways of seeing lead to new philosophical perspectives. We can
align our mystical worldview with physical reality. The true nature
of physical reality remains a mystery. Even for physicists, it has
an elusive quality. No one really knows just what a quantum, a
photon, or an atom "really is" or what it is doing when we're not
looking at it.
Physics is another interpretation of reality. We have become aware
of a vast physical dimension without and an equally vast realm of
psyche within. They are available for exploration. And there are
ancient and modern technologies which aid us here. In terms of
modern orientation and consciousness models, an omnidirectional
system allows more degrees of freedom. This freedom is a
conceptual, imaginal, and physical reality.
Buckminster Fuller said that in whole systems the directions are
always out and in. "In and out are the relevant directions, not up
and down." Models or maps based on "in and out", rather than "up
and down", allow us to conceive of particular states or conditions.
As a metaphor, "in and out" is a typical characteristic of the phase
states of matter. It is either in or out of phase or
synchronization. During observation, matter is either in solid
physical existence (particle) or out of solid physical existence
(wave).
This wave-particle duality exists within us all. This uncertainty
surrounding substantive existence leads to paradox. We cannot grasp
one part of nature without another part slipping through our
Page 11
fingers. Photons, neutrons, and even atoms have no definite form
until they are measured. Wave-particle duality is a mystery.
However, this primal characteristic of atoms, and the energy
exchange in their cores, is the basis of our physical existence.
The emergence of stable matter requires the balancing of tendencies
toward implosion and explosion. This is the function of Vector
Equilibrium.
Physicist David Bohm modeled an "in and out" universe of implicate
(in) and explicate (out) order. Yogis focus on the in and out
breath during pranayama, and the experience connects them with
cosmic time. The psychological tendencies, introversion and
extroversion, express the polarity in ways of being. In cybernetics
there is input (I) and output (O), the direction of the signal
determining if it is I/O or O/I.
Vector Equilibrium is the most economical model using geometry to
express the ultimate union of the opposites. It creates the
paradoxical state that is neither in nor out, up nor down, neither
this nor that.
For Fuller, the balancing of the tension of the opposites was
achieved in his tensegrity sphere. It is stabilized dynamically to
neither explode nor collapse. This original "Buckyball" is a
tangible example of Vector Equilibrium.
According to Fuller, "matter" itself is a contained explosion, and
the Vector Equilibrium is its austere image. It is a system not a
structure. It underlies structure or formation of something from
apparent "nothingness."
Vector Equilibrium is the lattice or invisible framework, and its
blueprint is the cuboctahedron. Its explicit form can enfold on
itself until it compacts down into an octahedron, then a
tetrahedron, the prime geometrical form. This is accomplished by
doubling up on the vectors on the edges. This creates the
difference, for example, between carbon, diamond, and silicon atomic
structures. They are all face-centered cubic crystals.
Coincidentally these elements are symbolic icons in our culture.
They are the hallmarks of technology.
A simple way to visualize the Vector Equilibrium is through the
closest packing of spheres which underlies the geometry of crystal
formation.
Imagine a cluster of ping pong balls glued together, 12 around 1,
then building out further and further. If you imagine vectors
connecting the centers of each ball, IN THE THIRD LAYER you can find
the Vector Equilibrium.
The vectors that radiate out from the center are exactly equal to
the vectors that bond the faces. No other structure can make this
claim. This is the symmetry the Greeks missed, because it is an
energetic process, manifesting force, not a thing.
Vectors are not points in space traveling through time. Vectors map
energy events. Time determines a vector's length -- the time it
takes an energy event to happen. There must be time for wave
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functions to propagate. We know a musical note requires time to
exist, because a note is nothing in an instant.
Time is a duration. If we ask ourselves "a duration of what?", we
can only answer "...of nothing, or something." All "somethings" are
composed of matter, and the nature of matter is consciousness. So
time becomes a duration of consciousness. Energy is substance.
Substance is energy at the quantum level. Our substance is energy,
and consciousness is fully capable of quantum leaps.
Fuller's energy mapping uses energetic triangles, in which three
lines are not just lying there but are busy stabilizing the angles
opposite them. Fuller describes the dynamic domain of "reality" as
a broad spectrum of energy events, across a small portion of which
our senses can "tune."
Vector Equilibrium allows us to conceptually, metaphorically, and
spiritually bridge the abyss between the mystical and scientific
perspectives through sacred geometry. It is a key to the implicate
and explicate order.
(Add Drawing D)
THE MACROCOSMIC SNOWFLAKE
(Add Drawing E)
Synergetics Isometric of the Isotropic Vector Matrix: Note the
"twelve-around-one, closest-packed spheres."
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Jerry W. Decker.........Ron Barker...........Chuck Henderson
Vangard Sciences/KeelyNet
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