Science Mysteries

[i] The alchemists of the Middle Ages used    first and foremost as a general symbol representing the art of alchemy and secondly as a sign for combinations of ,water and , fire. Combined these two triangles formed the symbol for fire water, the essence or spiritus of wine: alcohol. It was also used as a sign for quintessence, the fifth element. Available at http://fusionanomaly.net/alchemy.html

Cymatic pattern mirrors water, honeycomb and alchemical portrayals of the cosmos:

Solomon’s Seal.  Hexagon geometry.  Solomon’s Seal C3.
(top row) 

Watermolecule 25x. [© Raul M. Gonzalez]
Cymatic 37,9Hz.[© Alexander Lauterwasser]
Snowcrystal 25x. [© Ted Kinsman]
(middle row)

Honeycomb.  Giant’s causeway.  
(bottom row)

‘Symbolism is the language of the Mysteries, [and] all Nature…to communicate…thoughts which transcend the limitations of language…those who can discover its lost keys may open with them a treasure house of philosophic, scientific, and religious truths.’ [Manly P.Hall, 2003]

Power invested symbols are primordial. The Sun's astrological symbol, a dot within a circle, is a primeval description of the Prima-Causa. The circle symbolizes eternity or primal-power; the dot (Bindu) pinpoints the emergence of that power.

The bindu, sacred point of origin and return

Cymatic pattern in powder

Ring Nebula. Helix Nebula. Cats eye nebula.
Nebula images from: http://hubblesite.org/gallery/album/nebula_collection/ 

Pythagoras [i] understood the elegant lawfulness of geometry consubstantiated [1] with sound as the foundation of a universe in sonic consonance. An underlying algorithm has been championed by many; from Pythagoras and Plato, to David Bohm, Carl Jung, neuroscientists and complexity theorists [ii].

[1] Consubstantiate To unite or become united in one common substance, nature, or essence.

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[i] Pythagoras, whose life in the seventh century BC marks the inception of Hermetic philosophy and numerological mysticism among the Greeks. He travelled the world while still in his thirties and forties, studying with every priesthood and esoteric college he could reach and procuring the texts of those he couldn't physically visit. When he finally settled down to start his own school, he credited the Hebrew Kabbalists and Hindu Brahmans for enlightening him about their number mysteries in which his own teachings about the whole numbers and Sacred Geometry were grounded.
Available at http://www.tarot.com/about-tarot/library/essays/history

Honeycomb - Pythagoreans perceived the hexagon as an expression of the spirit of Aphrodite, whose sacred number was six (the dual Triple Goddess), and worshipped bees as her sacred creatures who understood how to create perfect hexagons in their honeycomb. Seeking to understand the secrets of nature through geometry, the Pythagoreans meditated on the endless triangular lattice, all sixty degree angles, that results from extending the sides of all hexagons in the honeycomb diagram until their lines meet in the center of adjacent hexagons. It seemed to them a revelation of the underlying symmetry of the cosmos. Moreover, since honey and salt were the only commonly known preservatives at the time, both were symbols of ressurrection or reincarnation. The dead were often embalmed in honey, especially in the large pithoi or burial vases, where they were placed in fetal position for rebirth. Demeter was "the pure mother bee" who governed the cycles of life, as was the biblical Deborah whose name means "bee." Honey cakes formed like female genitals figured prominently in worship of the Goddess. The bee was usually looked upon as a symbol of the feminine potency of nature, because it created this magical, good tasting substance and stored it in hexagonal cells of geometric mystery. With so many ancient connections with the Goddess, it was inevitable that medieval hyms addressed the virgin Mary as a "nest of honey" and "dripping honeycomb."
Available at http://de.wikipedia.org/wiki/Benutzer_Diskussion:Auto-horst 
"... and the whole heaven to be a musical scale and a number... "[Aristotle's account of the Pythagoreans (Metaphysics A5, 985b23)
It seemed clear to the Pythagoreans that the distances between the planets would have the same ratios as produced harmonious sounds in a plucked string. To them, the solar system consisted of ten spheres revolving in circles about a central fire, each sphere giving off a sound the way a projectile makes a sound as it swished through the air; the closer spheres gave lower tones while the farther moved faster and gave higher pitched sounds. All combined into a beautiful harmony, the music of the spheres. Available at http://www.dartmouth.edu/~matc/math5.geometry/unit3/unit3.html 

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[ii] This is beautifully explained by Christina Brodie in her article…Geometry and Pattern in Nature 1: Exploring the shapes of diatom frustules with Johan Gielis' Superformula by Christina Brodie, UK Available at http://www.microscopy-uk.org.uk/mag/artapr04/cbdiatom2.html 
To view the effects of combining Supershapes, please see: http://astronomy.swin.edu.au/~pbourke/surfaces/supershape3d/#2d 
Paul Bourke's homepage: http://astronomy.swin.edu.au/~pbourke 
Brian Darnton's homepage: http://dorsetmicroscopy.blogspot.com/
Additionally, the following sites may prove of interest:
Johan Gielis' website: http://www.geniaal.be/# 
Weisstein, Eric W. "Superellipse." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Superellipse.html 

Platonic solids.
Kepler's Platonic solid Solar system, 
Mysterium Cosmographicum (1596).

Belgian Scientist Johan Gielis has created a Superformula interlinking shapes found in nature with a single mathematical equation. Previous equations have tended to "exist in isolation". Johan Gielis's Superformula generates a spectacular array of symmetrical organic forms, including diatoms, starfish and flowers. Computer technology allows the apparently endless shape-generating ability of this equation! The Superformula combines the equation for a circle (r², where r=radius) with that for a superellipse.
The Superformula generated shapes share interesting parallels with the mechanism of gene expression. The phenotype of an organism is a direct expression of its genotype, variables created by DNA nucleotides control the shape of an organism. The science of genetics assumes the evolution of organisms, and genes, from a common "ancestor" or ancestral gene, so too do Supershapes originate from the Superformula, where the simplest shape, in terms of mathematical description and form, is that of the circle. [Christina Brodie, 2004.] 
For more details http://astronomy.swin.edu.au/~pbourke/surfaces/superellipse  & http://astronomy.swin.edu.au/~pbourke/curves/supershape  

3-D supershapes at paul bourke's website
http://astronomy.swin.edu.au/~pbourke/surfaces/supershape3d/ 

Johann Gielis’s homepage
 http://www.geniaal.be/html/fs004technology.htm 

"…symbolism has… the virtue of containing within a few conventional lines the thought of the ages and the dreams of the race. It kindles our imagination and leads us into a realm of wordless thought…" [Lin Yutang]

JUNKIE PAGANS MAPPED THE UNIFIED FIELD 5000 YEARS AGO

Old Indian diagrams of Chakras and Yantra-Mandalas are strikingly similar to the geometry of sound. The Indians understood quantum physics; that the body and the Universe is a cloud of vibrating energy, and that the secret of health and happiness is to keep these layers of energy in tune.

Low frequency sounds produce circles as the frequency increases 
sound patterns are more intricate and complex.
With kind permission from Photo/copyright: Alexander Lauterwasser, homepage: www.wasserklangbilder.de 

Bindu is the Hindu description of the first energy; followed by Chakra and Yantra-Mandala pictures.

Diagrams of the Chakra system and the Hindu Mandala, known 
as Yantra echo cymatic structures. 

The earliest representation of Buddha was by his footprint, which seems to contain many interesting esoteric symbols that are redolent of cymatic pattern.

Once considered a primitive pagan religion, Hinduism displays a subtle prescience of quantum theory. Current science seems a palimpsest[1] of more confounding Vedic truths. Quantum Mechanics and the immense space within atomic structure confirm reality is holographic; if a marble represented a hydrogen nucleus, the electron orbiting it is two miles away; objects we consider solid are overwhelmingly nothingness [i], reality is an illusion [ii]. Matter is composed of negligible bits! Yet space is packed with a plethora of potential. I found this concept although scientifically logical, impossible to conceptualise until I read David Bohm’s vision of the holographic universe.

[1] Palimpsest (as in "manuscript") n. : a manuscript (usually written on papyrus or parchment) on which more than one text has been written with the earlier writing incompletely erased and still visible  

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[i] What is meant with non-inherent existence? Is this to say that the cup does not ultimately exist? - Not quite. - The cup exists, but like everything in this world, its existence depends on other phenomena. There is nothing in a cup that is inherent to that specific cup or to cups in general. Properties such as being hollow, spherical, cylindrical, or leak-proof are not intrinsic to cups. Other objects which are not cups have similar properties, as for example vases and glasses. The cup's properties and components are neither cups themselves nor do they imply cupness on their own. The material is not the cup. The shape is not the cup. The function is not the cup. Only all these aspects together make up the cup. Hence, we can say that for an object to be a cup we require a collection of specific conditions to exist. It depends on the combination of function, use, shape, base material, and the cup's other aspects. Only if all these conditions exist simultaneously does the mind impute cupness to the object. If one condition ceases to exist, for instance, if the cup's shape is altered by breaking it, the cup forfeits some or all of its cupness, because the object's function, its shape, as well as the imputation of cupness through perception is disrupted. The cup's existence thus depends on external circumstances. Its physical essence remains elusive.Those readers who are familiar with the theory of ideas of the Greek philosopher Plato will notice that this is pretty much the antithesis to Plato's idealism. Plato holds that there is an ideal essence of everything, e.g. cups, tables, houses, humans, and so on. Perhaps we can give Plato some credit by assuming that the essence of cups ultimately exists in the realm of mind. After all, it is the mind that perceives properties of an object and imputes cupness onto one object and tableness onto another. It is the mind that thinks "cup" and "table". Does it follow that the mind is responsible for the existence of these objects? - Apparently, the mind does not perceive cups and tables if there is no visual and tactile sensation. And, there cannot be visual and tactile sensation if there is no physical object. The perception thus depends on the presence of sensations, which in turn relies on the presence of the physical object. This is to say that the cup's essence is not in the mind. It is neither to be found in the physical object. Obviously, its essence is neither physical nor mental. It cannot be found in the world, not in the mind, and certainly not in any heavenly realm, as Plato imagined. We must conclude that the objects of perception have therefore no inherent existence.
If this is the case for a simple object, such as a cup, then it must also apply to compound things, such as cars, houses, machines, etc. A car, for example, needs a motor, wheels, axles, gears, and many other things to work. Perhaps we should consider the difference between man-made objects, such as cups, and natural phenomena, such as earth, plants, animals, and human beings. One may argue that lack of inherent existence of objects does not imply the same for natural phenomena and beings. In case of a human being, there is a body, a mind, a character, a history of actions, habits, behaviour, and other things we can draw upon to describe a person. We can even divide these characteristics further into more fundamental properties. For example, we can analyse the mind and see that there are sensations, cognition, feelings, ideas. Or, we can analyse the brain and find that there are neurons, axons, synapses, and neurotransmitters. However, none of these constituents describe the essence of the person, the mind, or the brain. Again, the essence remains elusive. Available at http://www.thebigview.com/buddhism/emptiness.html 

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[ii] George Berkeley discovered the “amazing truth… that nothing properly but… conscious things do exist”. In modern terms, George Berkeley’s doctrine of Immaterialism would support the notion that the Universe is a virtual reality. This notion can be found as far back as the ancient Greek philosopher Pyrrho of Elis (360?-275? BC) and in the eastern philosophical tradition, this notion that the external world is illusionary, mere ‘name and form’, is a dominant theme of the Hindu Upanishads dating back about 3,000 years BC. Available at http://www.spiritualgenome.com/berkeley.htm  

"One day it will have to be officially admitted that what we christened reality is an even greater illusion than the world of dreams". [Dali]

If you visualise quantum reality as a cloud of undulating glitter, each particle is a holographic film transparency, which contains all of the information needed to visualise the material world from that particular angle. This vision in combination with an understanding of how our senses [i] synthesise reality by only processing 20 conscious moments [ii] per second out of a possible 20,000, you can begin to understand how reality may not be how it so virulently appears. Hindu [iii] and Buddhist [iv] texts sit easily in the baffling arena of quantum thought. The illusiveness of material reality is the focus of the Upanishads[v]c.3, 000BCE.

[i] Not all the body parts receive the same attention of the brain. The relative importance is often represented by mapping over the length of the sensory or motor cortex. These cortical maps (Figure 22b) are not drawn to scale; instead they are variously distorted to reflect the amount the neural processing power devoted to different regions. This accounts for the grotesque appearance of the human body in the homunculus, which is a translation of the body's sensory map into the human form.

Available at http://universe-review.ca/R10-16-ANS.htm 

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 [ii]That reality is an illusion constructed by our limited and inaccurate senses is a theme beautifully considered by Marshall McLuhan in the Gutenberg Conspiracy. Penny Lee explains in a passage entitled 'The biological segmentation of reality', Penny Lee in "The Whorf Theory Complex" quotes Bertalanffy: 'from that great cake of reality, every living organism cuts a slice, which it can perceive and to which it can react owing to its psycho-physical organization, that is, the structure of its receptor and effector organs', and further: 'any organism so to speak, cuts out from the multiplicity of surrounding objects [and actions!] a small number of characteristics to which it reacts and whose ensemble forms its "ambient". All the rest is non-existent for that particular organism. Every animal is surrounded, as by a soap bubble, by its specific ambient, replenished by those characteristics, which are amenable to it. If, reconstructing an animal's ambient, we enter the soap bubble, the world is profoundly changed. Many characteristics disappear, others arise and a completely new world is found.' [iii] Einstein Meets the Vedas: Parallel Sayings in Science and SpiritualityComparing wisdom from scientists and great religious leaders. Edited by Thomas McFarlane
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