## Fibonacci

KnowledgePosted by Hanne Thu, October 04, 2018 17:57:32Text from "Rediscovering Duality" by Richard Merrick

The golden ratio, represented by the Greek letter Phi, is approximately equal to 1.61803. Like Pi, it is an irrational and infinite number - however, Phi actually plays a very special role within a standing wave of energy. Around Phi spirals a special set of proportions called the Fibonacci series. These proportions are produced by adding preceding pairs of numbers, such as {1, 1, 2, 3, 5, 8, 13, 21, etc.}, then taking the ratio between adjacent pairs, {1:1, 2:1, 3:2, 5:3, 8:5, 13:8, 21:13, etc.}. The more this sequence is extended, the closer it gets to the value of Phi, though never reaching it. Known by the Indian Brachmanes in 450 BC as Maatraameru, the Fibonacci series was believed to be a way to reach for God without actually looking him in the face. They found these proportions everywhere in Nature - wherever coherent periodic activity emerged - in the growth patterns of plants and animals, mineral structures and the orbital patterns of planets.

Amazingly, it is
little known today that the central function of the golden ratio and Fibonacci
series in Nature is to suppress destructive resonance and provide order. For
instance, the near-Phi (and inverse) dimensions of 1.62 X 1 X 0.62 are used in
rectangular speaker enclosures and music halls to cancel, or damp, unwanted
sound wave reflection. In fact, any fractional sound frequency inside the
Fibonacci “vortex of silence” converging to Phi will be damped, which is why a
near value like 1.62 does the job. We find Phi’s “perfect damping” central to
Hermetic wisdom and its “sacred geometry” dating back to the Egyptians. This is
nowhere more evident than in the Great Pyramid whose dimensions are based on
Phi-damping proportions sqrt(Phi) X 1 X Phi, otherwise known as the Egyptian
triangle. The Egyptians were well aware that the infinite background underlying
harmonic structure was the golden ratio and so used Phi as a launch pad for
King Khufu’s after life.

Inside all standing waves, whether in sound, light, electromagnetic energy or
matter, there are always two such Phi-damping frequency locations per wave
cycle. Around these locations a little space is carved out by Fibonacci ratios,
canceling all fractional vibrations and providing the needed space for whole
number harmonics to oscillate without collision. A standing wave will simply
cease to exist without this policing action.

In this way, Fibonacci damping is really an anti-harmonic force between
harmonic structures. It is the reason electrons orbit their nucleus in whole
number proportions. It is the reason that spacing of planets in our solar
system conforms to a mean proportion of Phi. It is the reason a musical octave
divides best into 12 steps and why we are able to anticipate the directional
energy flow in music harmony. But most importantly, it is the reason the
carbon-12 atom, as the most stable element and standard measure of atomic
weight, is found abundantly in all life.

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