Hypernumbers and the Magic Square
This brief commentary on the Magic Square and its application to the
hypernumbers is drawn from Musaios' two chapters in Consciousness and
Reality, "Consciousness and Science" (chapter 8) and "Working with
the Hypernumber Idea" (chapter 26).
That Musaios considered hypernumbers would play a crucial role in
the evolution of humanity can be seen from his remarks at the end of
chapter 8:
"The contemplation and use of hypernumber forms and properties will
prove and already has proved both by self-experience and teaching to be a
most
efficacious and irreplaceable method of evolving into conscious
access the powers and capabilities of our superconscious selves. And
that way man's
future lies."
Now Musaios discovered that there are seven kinds of hypernumber
that exist beyond the square root of minus one (also referred to as u2,)
which he called
u3,, u4,, u5, u6 , u7 , u8 and u9. Now these eight kinds of number
actually map upon the eight powers of the outer ring of the Magic Square
and thus also
correspond to the seven pleromic worlds of the central Q-universe
and the 7-D universe that lies beyond it (see appendix 1, Access).
The correspondences are as follows:
- U2 corresponds to the Mercury Square Power
- U3 corresponds to the Moon Square Power
- U4 corresponds to the Venus Square Power
- U5 corresponds to the Sun Square Power
- U6 corresponds to the Jupiter Square Power
- U7 corresponds to the Saturn Square Power
- U8 corresponds to the Mars Square Power
- U9 corresponds to the Uranus Square Power
Furthermore, it is clear from the description of these kinds of
numbers that the outer ring powers of the Magic Square work in four
mutually complementary
pairs,the first pair being that of the u2 and u6 or the Mercury and
Jupiter Square Powers.
The power of Mercury, astrologically speaking, is par excellence
that of communication and the ability to discern and communicate
relationships between facts
in a logical and rational way. The power of the Mercury square,
manifesting in this world as power of u2, extends this intelligence to a
superlative degree,
as Musaios describes in the subheading of his chapter on
Consciousness and Science, "Hypernumbers as Transforming Powers and
Operators":
"For long centuries men had believed there was only one kind of
number: that which distinguised sizes or magnitudes, whether of
collections, lengths, or angles
(orientations) as on a clock dial (or compass). Though it had been
encountered in medieval India and Renaissance Europe, the square root of
minus one
(a hypernumber) was not realized to be a perfectly existent and
useful alternative kind of number until the seventeenth and eighteenth
centuries. In the
nineteenth century a whole vast extension of the theory of functions
or number relationships was made possible through the square root of
minus one and is
called the theory of functions of a complex variable. Without it
electromagnetic wave theory and quantum theory could not be written."
"Thus the comparatively simple expedient of one new kind of number
more than doubled the entire mathematical power of all the previous
centuries, and became
intimately related to the new physical discoveries in electronics,
atomic theory and twentieth century chemistry. It can only be imagined
what the adjunction
of further new kinds of number will achieve, for the kinds of
num-ber comprise the core of mathematics itself, creating whole new
algebras and function spaces."
Thus the power of the square root of minus one as a mercurial
(connecting) power is clearly revealed in that it vastly extends the
kinds of relationships between
numbers, and also extends the linkages between the sciences of
mathematics with those of physics and chemistry.
Its complementary power, the Jupiter Square Power or u6 is described
by Musaios in chapter 26 as pertaining to ecology, feedback and the
stability of systems, as
well as the types of entropy, or energy loss, such systems
experience. As the deployment of hypernumber u2 in mathematics generated
powerful interdisciplinary
linkages to other sciences, the impact of human knowledge on the
natural world (atomic energy generation, electronics, and chemical
weapons for example) greatly
intensified. The application of this knowledge inevitably stirred up
the workings of the opposite power, u6, in response, thus generating
unprecedented feedbacks
into all kinds of systems, including ecological ones and
destabilizing the natural world. It is interesting to note in this
context that scientific and public
awareness of global climatic changes has increased tremendously
since November 2002, when the hypernumber powers began to act directly
upon the world through
the medium of the Magic Square Cycles. The positive side of this
development is, of course, that the gods are permitting the irrevocable
damage to the biosphere
to occur so that the evolutionary 'catapulting' of all forms of life
on the planet may be more quickly brought about.
The second pair of hypernumbers corresponds to the Moon Square Power
or u3 and the Saturn Square Power or u7. No description of the unique
consciousness altering
qualities of the hypernumber corresponding to the Moon Square Power
is given under the section heading "Hypernumbers and Cosmology",
although Musaios does state
elsewhere in chapter 26 that u3 as well as u2 "enters into the
concept of a fractional dimension, which is no more a broken dimension
than a half-formed baby is
a baby cut in half. The geometry of fractional dimensions involves,
we also found, very fascinating wave and frequency forms, and shows that
all geometries of
integer dimension possess a wave-like microstructure." However, the
hypernumber corresponding to the Saturn Square is described as "the
actualization of the
potential selfhood for evolutionary and metamorphic transformation",
which leads to the deduction that the Moon Square hypernumber, as the
inherent partner of
the Saturn power, must represent the inherent potential of the
selfhood for evolutionary and metamorphic transformation. In other
words, the hypernumber of the
Moon Square relates to the infinite, plastic and unformed potential
within each one of us that would permit us to transform into beings of
higher evolution if we
steadily apply ourselves to that goal. Thus it is the task of the
Saturn Square hypernumber, to solidify and make permanent the
consciousness changes we are
aspiring to, turning our ideals into stable and reliable
self-enhancing habit-patterns. This, of course, ultimately depends upon
on how dexterously or otherwise
we handle our karma and circumstances. Saturn is the inexorable
measurer - the one who cannot be deceived, who measures exactly the
extent of the actual
spiritual and internal growth that has occurred and thereby fixes
the new destiny pattern in place.
The third pair of hypernumbers correspond to the Venus Square Power
(u4) and the Mars Square Power (u8). Musaios describes the hypernumber
of the Venus Square as
"able to map the nature of attention focus and intensity relevant to
the nature of the selectivity, conditioning and cueing of attention,
and hence to the power
of suggestion, and the consequent altering of states and levels of
suggestion." In other words, the Venus Square hypernumber has the
ability to intensify
hypnosis so that very deep levels of consciousness in the subject
are affected in a benign and healing way. Its complementary power, the
Mars Square, which is
described as "the only hypernumber that can represent the
modification of time by affecting the amount of available energy, and
hence the duration needed to
achieve a given outcome." This means that the hypernumber of the
Mars Square generates the power to speed up events, and so change
destinies or potential outcomes. We can see how these two powers are
related and work together by imagining the case of a person who, under
hypnosis, releases a deep fear or trauma, and is thereby enabled to
react to a coming crisis in a more positive way than would otherwise
have been possible. Alternatively, this person might thereby be able to
release hitherto hidden talents and take up a new career that would
otherwise have been beyond their reach. In either case, the whole
pattern and outcome of a person's life may be changed.
The final pair of hypernumbers (u5 and u9) corresponds to the Sun
Square and Uranus Square Powers. Musaios describes the Sun Square
hypernumber as one that
"can map memory processes, including transconscious memory". It thus
bestows access to areas of one's memory that one possesses, yet which
one is not usually
aware of in a state of ordinary consciousness. The Uranus Square
hypernumber is described as "constant integration through time, which is
characteristic of
selfhood or individuality". We know that the seven other powers of
the outer ring of the Magic Square are integrated and unified during the
Uranus Square
session. They are integrated through time, which means becoming
accustomed to the experience of the seven powers working together,
instead of fighting against
each other as they normally do.
The Sun Square is the power complementary to the Uranus Square
because it is the realm of the transconscious mind, containing
everything we have ever learned,
not only in this life, but also the skills of prior incarnations.
The Sun Square power opens the way to recovering those memories and
skills, but it is only
during the Uranus Square power session that this knowledge is
permanently activated and recovered as a part of the selfhood and
identity. In ancient Greek
teachings on this Magic Square, the Uranus square was called
"aletheia" meaning that it countered the force of forgetfulness.
"Lethe", its opposite, was the
river of forgetfulness that the soul traverses after death on its
entry into the bardo.
We can also ask what kinds of number, if any, might be attached to
the central square power of the Magic Square, which corresponds to the
infinite Source of
All Life that lies above and beyond any specific manifestation.
There are in fact two such numbers, just as the central Square has two
cosmic powers embedded
within it: those of Neptune and Vulcan. As Musaios states in chapter
26, "Zero turns out to be u0 and u1 is the unit of ordinary numbers for
measurement in
the sensory world."
Now the power of Neptune at its ultimate cosmic level, clearly
corresponds to the realm of infinitesimals - or infinite potentialities,
which, by the nature of
the Source of All Life, are inexhaustible. But why does Vulcan, the
power of magic itself, map onto the power of apparently ordinary number?
It is because the
number system has the quality more than anything else in the
manifest world of "distinguishability" as Musaios expresses it. And
Vulcan is the cosmic power of
distinguishability par excellence, for it can detect and take
account of even the slightest distinctions and differences between
things, whereas Neptune fuses
everything into ultimate oneness or unity - in that all manifest
things originate from the Source of Life and draw their life-force or
sustenance from it.
Moreover, the two central powers of the Magic Square, Neptune or u0
and Vulcan or u1 are shown to be at the very heart of the question
Musaios poses for himself
in chapter 8 of Consciousness and Reality, namely "Can the deepest
truths be told?" He explains as follows:
"We are thus assured of two things: the impossibility
of communicating all that reality contains at any moment, but the
possibility of communicating this at some future moment, by which time
reality would again have
outstripped ability to communicate. Thus the goal of a completely
explicit science is fatuous because it simply misses the point of the
cosmos. The goal of
science should be to understand the basic principles of how our
presently perceived cosmos came into being, how it is maintained, how it
may be transformed, and
how we may transform ourselves out of it - and what the world would
then be like. There is no absolute ineffability, and there is likewise
no absolute
communicability at any given moment."
Under the subheading "The Place of Number" (chapter 8), Musaios
further explains the unrivaled power of number to extend
communicability:
"Number refers to distinguishability; and its operations to the
interaction properties of distinguishable things. Hence number can code
mind and sensorily
observed nature at the same time."
And the presence of the cosmic power Vulcan, or u1, within the
centre of the Magic Square, and hence always partially
unmanifest with its mysteries being likewise inexhaustible, is
explained by the comments of Musaios on the nature of number itself:
"Further, things not yet speakable of in and of themselves may still
be coded and the code discovered, used and discussed by those not yet
aware of its experiential reference and meaning. Number can code all
reality, whether experienced or not,
in such nonarbitrary fashion as to reveal objective insights into
the nature of that reality even before direct conscious experience with
it.
Thus things we do not and even cannot yet know may still be coded by
number. Knowing this, however, enables us to see the properties of
number more consciously as a
code of reality, and arrive at an experience of it much more quickly
than without the aid of that unique code� knowing that we have the code
of something not yet
known puts the unknown that much more within our grasp. Number is
thus the most powerful antidote to ineffability that man can use."
But there is still more to be gleaned from an understanding of the
deepest nature of number. For the phenomenon of number itself emanates
from a source of cosmic
intelligence far more exalted and benign than anything as yet
attained by humankind.
"Nothing encodes itself. Only intelligence encodes or decodes. Hence
some
intelligence has arranged the predictive agreement (between reality
and the number code) we call science. The coding of as yet unexperienced
reality in terms of
experienced forms, of which numbers are the most refined, is never
absent in reality. (If it were, the unity would be broken, the code
would not apply, experience
would become arbitrarily inconsistent and reality would
self-destruct.)"
It is awe inspiring to realize that the beings at the source of
cosmic intelligence, what we call the gods who govern the Lion Path,
have now released upon our
planet the immense noetic powers of the hypernumbers that lay hidden
within the Magic Square. Consequently, Musaios' words from the 1970s,
that
The contemplation and use of hypernumber forms and properties
will prove to be a most efficacious and irreplaceable method of evolving
into conscious
access the powers and capabilities of our superconscious selves
were deeply prophetic. We are now experiencing, in the two Magic Square
Cycles of the Lion Path,
the action of hypernumber powers on a hitherto unprecedented scale,
activating the entire realm of our biosphere and profoundly altering the
destinies of all living
beings upon earth.
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