One of the most famous manifolds is the Mobius strip that helps us understand the possible structure of our universe and furthermore reality. A manifold is an abstract mathematical space in which every point has a neighborhood which resembles Euclidean space, but in which the global structure may be more complicated. In discussing manifolds, the idea of dimension  is important. For example, lines are one-dimensional, and planes two-dimensional.

In a one-dimensional manifold (or one-manifold), every point has a neighborhood that looks like a segment of a line. Examples of one-manifolds include a line, a circle, and two separate circles. In a two-manifold, every point has a neighborhood that looks like a disk. Examples include a plane, the surface of a sphere, and the surface of a torus.

Manifolds are important objects in mathematics and physics because they allow more complicated structures to be expressed and understood in terms of the relatively well-understood properties of simpler spaces.

Today music is considered a peripheral aspect of everyday life, meant to provide pleasure for our ears or just create a nice atmosphere in the background. Concepts that combine music with the divine may sound trivial to modern people but that was not the case in the ancient years: back then music was tightly related to God, religion and science and fulfilled a series of functions as a part of ceremonies, rituals, war campaigns etc. In ancient Greece specifically, music was viewed as an inseparable part of cosmos in which people could find clues about their inner self or the world that surrounded them. The Greek astronomer, philosopher, mathematician and mystic, Pythagoras, was the first to notice that all music can be translated to numbers and mathematical ratios, the same that rule the universe . One of his most famous theories was the theory of ‘The Music of the Spheres’ that supported the idea of living in a music universe where ‘the whole heaven is a musical scale’ ). Pythagoras and his followers (Pythagoreans) speculated that the planets (spheres) produce sound due to their enormous size and movement, and tried to calculate their distances and speed. They found that these distances resemble the musical scales and concluded that the movements of celestial bodies produce sound and harmony, similar to the one of the plucked strings of a lyre. This sound according to Aristotle is not audible as it is present in our ears from the first day we are born, therefore it is indistinguishable from its contrary silence .

The concept of a universe governed by music laws as described by ‘The Music of the Spheres’ was highly influential for later philosophers. Plato in plenty of his works supports the relation between music and the universe’s harmony ; the Neo-Platonist philosophers Plotinus, Proclus, Porphyrious emphasize the connection of muses (=musiki, greek) and the spheres ; the theologian Saint Augustine in his book ‘de Musica’ presents musical harmony as a simile for the harmony of human soul with the universe ; Martianus Capella in ‘de Nuptiis Philologiae and Mercurii’ depicts universe as a result of the music produced by the muses turning the spheres etc. Johannes Kepler (1571-1630), the German astronomer, also embraced ‘The Music of the Spheres’ and attempted to explain the proportions of cosmos in terms of music after a detailed research about the causes underlying world’s construction in his book ‘Harmonices Mundi’ .

It should be noted that Pythagoras who was credited with the idea was influenced by his journeys to Egypt, Middle-East and Italy, where he studied astronomy and maths and was introduced to Hinduism and the teachings of Gautama the Buddha. The Indians, long ago before Pythagoras, believed that music was related to non-physical dimensions of existence. Sound was an earthly reflection of a divine vibratory activity that originated beyond the conventional world and this activity was the basis of all matter and energy in cosmos. Hinduism knows this activity as OM and divides it in several Cosmic Tones, thus several frequencies (inaudible to our ears) that cause every substance of the perceived world to vibrate. To be more precise, Hinduism teaches that this vibratory activity, sound, does not only cause the vibration of all matter but it is itself the matter that constitutes cosmos.

By examining Pythagoras’s ‘The Music of the Spheres’ and the Indian teachings mentioned before we can find severe similarities: they both talk about a universe governed by the laws of sound where appears harmony and order. It is the main characteristic of sound, the vibrations (cyclic patterns) that cause things to be perceivable and it is the harmony behind these patterns that creates order out of what is seemingly chaotic, although human sensations are inadequate to hear this. In other words, as Pythagoras said, cosmos is a vast lyre that someone plucked its strings and the vibrations are still producing harmonics and after effects.

This ancient way of understanding the cosmos could be considered just a vague speculation as it was not based on academic research and definitely not founded upon advanced scientific observation and experimentation. But hundreds years after Pythagoras, Johannes Kepler, living in an era when he had access to a variety of observation instruments (such as the telescope) and scientific thought was much more developed, came more or less to the same conclusions(although there are several and severe objections to his findings). Moreover, modern physicists nowadays start to believe that all matter is energy pulsating. The idea that an object can be divided infinite times until we reach the tiniest piece of matter is rejected and scientists in an attempt to explain the seemingly strange findings in the quantum physics’ field, have come up with the String Theory. The latter, as its name implies, resembles ‘The Music of the Spheres’, and replaces the point-like particles of standard physics with strings that pulsate in specific resonant frequencies, particle-like energy that is being excited like the strings of a guitar. Here is a description from the official String Theory website:

‘’Think of a guitar string that has been tuned by stretching the string under tension across the guitar. Depending on how the string is plucked and how much tension is in the string, different musical notes will be created by the string. These musical notes could be said to be excitation modes of that guitar string under tension.
In a similar manner, in string theory, the elementary particles we observe in particle accelerators could be thought of as the "musical notes" or excitation modes of elementary string.’’

And here is another excerpt of the same site:

‘’Pythagoras could be called the first known string theorist. Pythagoras, an excellent lyre player, figured out the first known string physics -- the harmonic relationship. Pythagoras realized that vibrating Lyre strings of equal tensions but different lengths would produce harmonious notes (i.e. middle C and high C) if the ratio of the lengths of the two strings were a whole number.’’

There are signs. Are they fake?
The universe is undressed in front of us. The codes are half broken and when they are broken they will be no longer codes.
In the end of all are numbers.
"he tried to enter the secrets of cosmos and break the barriers that surrounded him: the black holes, the stopping of time, the giant gravity, the possible journey through wormholes. But when he managed it, he understood. There is no meaning; there is no end when you overcome such boarders."
"She already knew it. She had discovered them all and was in the end of her bizarre black journey: she was just a character in a game, a role. Somewhere in a distant planet, approaching earth year 107829 Naturnalius and Scathor, sons of Gathern were playing a game in their extra modern personal computer. Naturnalius had chosen her body structure. He had preferred to make her blond spare tall and beautiful.Scathor was the one that had chosen her mental abilities. She was highly intelligent though naive and dark thoughts invaded her mind from time to time."|
The magic word is one.
But none knows it.
“I know, sister Mary”

Haris (!-?:)

Sworn to the morning star we innovate and expand the frontiers of aural experiences. Conceived through quantum jumps and solar storms we travel to an unknown but yet always familiar destination guided by the aura of star gods who dwell amongst the planets and star systems. Raised in a fretful planet,disapointed and fed up again we turn to our mother CHAOS the terminus ad quem of all,in the state of lifeless matter in which lies absolute freedom.Pure consciousness without the drawbacks of the mortal shell.

Bizarre Transcendence
?

Semen Astrorum