Chapter 11
The difference between a two dimensional and a topological circle http://www.learner.org/courses/mathilluminated/images/units/4/eknots.png has been noted since ancient times. Nevertheless, the two circles often get confused, especially since a circle may be viewed as a ‘simple’ circle and an ‘sophiscicated’ circle. Kirti Mukha belongs to the latter.
Kirti Mukha
©Eso A.B.
©
Right
next to the mysterious quantum jump (from particle to wave or the other way
around) proposed by the Heisenberg solution, is the ancient image of Kirti
Mukha https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEgpRUANeVDKnapC3EKppsbQdvWo7sV4wMt53jxs45avDU_W9l5E_Mj1hyphenhyphenr2usdYYQX3r_aNYFiXjcsqfWBw38h3lj7Q-mpBKG9QRW7yfgOGD7f7K9EsZk_8DBEZDDZE6HJHiWTH-Jd6Se8/s1600/KM1.jpg
as representing the mysterious topological
circle, which while remaining a circle, allows one to move from one side of the
circle to the other without falling off the cliff which theoretically is
presented by the edge of the circle.
The difference between a two dimensional and a topological circle http://www.learner.org/courses/mathilluminated/images/units/4/eknots.png has been noted since ancient times. Nevertheless, the two circles often get confused, especially since a circle may be viewed as a ‘simple’ circle and an ‘sophiscicated’ circle. Kirti Mukha belongs to the latter.
Most people today believe the simple or two dimensional
circle is the real circle. This is because grammar school teachers have not
been taught to acquaint children with the difference. This results in great confusion
and misunderstanding between cultures today and in ancient times. With the
circle perceived as having greater complexity in the East, it was projected there
with great ingenuity in art.
Because in the East the circle was perceived as a body—at
the very least as a body that had a face—rather
than being merely a stretched line, it manifested itself in the minds of the
artists and others who meditated on the nature of reality, as Kirti Mukha.
So, what is a Kirti Mukha?
There is a story that explains it in very simple terms.
Once upon a time there was a serpent. The serpent represented or stood for the
wrath of God. On one day the God became so angry at a creature that He send the
serpent after it—to either give him-her a poisonous bite or simply choke
him-her to death. Nevertheless, a few moments later, God changed His mind and
regretted that he had sent the serpent on its lethal mission. What was God to
do now? He transmitted to the serpent a mental message: “Desist from attacking
X, but turn your (mine) anger against yourself instead. Devour yourself to the
point where there is nothing more of you for you to devour.”
The serpent obeyed and devoured itself until it came to
its face and could devour itself no more. Thus, the serpent of the face became
known as Kirti Mukha or Face of Glory.
Interestingly, the story does not end here. The Face of
Glory was still possessed by great anger and the desire to put an end to
itself. But how was it to accomplish this? It became a pure mathematical
problem: How is a zero (0), that is to say a circle, to disappear?
It can do so by dividing itself in half. And how is a
circle to divide itself in half? It can do so by dividing itself into two
parenthesis ( ). It accomplishes this by growing out of its face, so to speak,
two great horns or tusks. When these are fully grown, each horn turns into a
monstrous giant with a ready spear in hand. The ancient Greeks had a
fairy-tale, in which two such giants, known as Otus and Ephialtes, twins born
of the Earth-Mother Artemis, when fully grown, conceived a sexual desire for
their mother and decided to seize her, when she was off guard.
One early fall day, when the two giants and their mother
had gone into the wood to pick mushrooms, the twins decided to do the rape.
They had come to a small clearing in the middle of the wood. Artemis was at the
centre of the clearing, while the twins were at the edge of the wood on the
left and right of her. This was it:
Otus and Ephialtes drew back their arms with the spears
ready to fly. The tips of the spears, polished shiny, glinted in the sun. The
Earth Mother caught the glint out of the corner of her eye. She understood in
an instant in what was happening, and in an instant she turned herself into a
roe and took a high leap into the air. The spears of the two giants missed
hitting her, but passed harmlessly through her legs, continued to travel, then
each hit the twin on the opposing end of the clearing.
Needless to say, both of the giants fell dead.
There are many variations of this story. One of the most
famous ones also comes from the Greeks. We may remember, that the Greek Adam
was called King Cadmus, maybe also the Red King http://www.winsornewton.com/resource-centre/product-articles/vermilion-cadmium-red
. Cadmus created himself warriors by breaking out the teeth of a great Serpent
that he had overcome. He sowed the teeth into two rows, and from the seeds
sprung two rows of fully armed men.
To put life into the men, Cadmus threw between them a
stone, which the men interpreted to have been thrown by the men in the opposite
row from them. An immediate fight between the two rows ensued. The fight ended
only when both rows of men had mutually destroyed each other.
Furthermore, this story has an echo in the grandson of
Cadmus, known to the Greeks King Oedipus. King Oedipus had twins by his mother,
Polyneicis and Eteokles. These sons, too, killed each other.
The topological circle, the one that is not for ever
closed, but from which there is an escape, may also be presented in non visual
ways.
One such way is embedded in our language, where we
continue to propagate the tooth of seed through a mental process known as pareidolia
or uninhibited associatio. While association of like and unlike is manifest in
many ways, one is through cognates.
Such cognates are for example, names, such as Yan, Ivan,
Ion, Don, Dion, Zhan, Gan, Gen, Gion, Hans, Han, Huat, etc. One such surprising
association of John maybe the name of the Indian saint, re Gandhi = Yandhi.
Unfortunately, with the arrival of ‘science’ and its
insistence on rigid proof that 1=1, pareidolia was dismissed as both
inconsequential and delusional.
Nevertheless, the more imaginative among scientists will
see how the representation of the topological circle is likely an early
representation of quantum mechanics, i.e., the ‘gap’ of quantum mechanics, is presented
not as a separation between an electron or particle in one instance and in another
instance as a wave, but by a twist acting as a separation or illusion of
separation.
The ‘simple’ vs the ‘topological twist’ is represented
also within the solar system, where the moon represents a simple circle
illuminated only on one side, whereas the Earth is like a topological a circle
rotating about the sun and illumined on both of its sides, which allows our
planet to escape the rigor mortis that grips the moon.
To repeat, the link that connects both sides of a circle
is a simple ‘twist’, and is represented by the virtual figure of the number 8.
It is not a mere accident that 8 is said to represent eternity. The simple
version of the circle dominated the Western perceptions and is seen as a
two-dimensional circle or serpent called a Ouroboros, http://en.wikipedia.org/wiki/Ouroboros. However, the
Ouroboros never becomes a face, but remains a closed circle, from which one
cannot escape.
Perhaps the reason has something to do with the repression
by neo-Christians of the arch-Christians, the so-called ‘heretics’, catars,
bogomils, et al, who were accused of ‘dualism’ or manichaeism http://en.wikipedia.org/wiki/Manichaeism
, of seeing God as both ‘good’ and ‘evil’, which was anathema to the Catholic
Church, which was charged by its sponsors, the wealthy castes of the West, to
never to depart from a positivist interpretation of reality. Thus, while the
West has so many ‘creative’ designers, all consumer products, over and above
the necessities, are boring junk.