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Fibonacci progression as a significant metaphor

Adaptive Hypercycle of Sustainable Psychosocial Self-organization (Part #6)

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A comprehensive visual introduction is available as a PPT (Nicole Doepkens, et al., The Fibonacci Numbers and The Golden Section).

Robert Paterson (Natural Scale: PHI and Our World, October 2006) makes the point that:

... our problem is one of metaphor or design. We have fallen in love with a mechanical metaphor that worked quite well in a more simple world. But we seem to have reached a level of complexity where an approach that demands mainly knowns cannot cope.... I think it is clear that mechanical models cannot scale and remain competent in a complex world. So what do we see in nature as a shape that does scale in complex surroundings?... Nature has perfected over 14 billion years the most effective design for relationships. Phi drives all the best relationships to be found anywhere in the universe. Linked into Phi are the Fibonnacci Numbers which express Phi as a curve.... If this is so -- then maybe PHI and Fibonacci will be at the heart of all organizational designs  for space for humans that wish to reach their full development potential.... It is my conjecture that PHI and Fibonacci will become the metaphor that will enable us to break free from the constraints of a mechanical metaphor and that it will become the core idea that will propel humanity forward and hopefully give us a chance of avoiding the fate of the dinosaurs.

As noted by Ronald L Holt, The Golden Mean Spiral and the Merkaba, Flower of Life Research, 2001):

This characteristic of the Fibonacci (always attempting to approximate the Golden Mean with greater accuracy) can be used as a metaphor for our human condition, which will help us gain deeper insights into the nature of spirituality. If the Golden Mean is used as a metaphor for spirit and the Fibonacci is used as a metaphor for physical incarnation (spirit incarnating into the physical and attempting to perfect itself to the ideal), then metaphorically, our physical incarnation begins as a Fibonacci life form.

One blogger offers a critical comment relating to the use of Fibonacci in economics (Cyclical Growth, Form and Fibonacci, The Psy-Fi Blog, 24 September 2009):

Back in the 1930's Ralph Nelson Elliot developed a technique for forecasting market price movements which he, at some point, decided was based on the Fibonacci sequence. The principle of the Elliot Wave is that collective human psychology drives moves from mass optimism to mass pessimism and then back again. In Elliot's reconstruction the ebb and flow of the markets is done in an eight step process, five up and three down, ranging over timescales from minutes to a grand supercycle of multiple centuries. According to Elliot the Fibonacci numbers simply appeared out of his theory, although there's no known underlying principle to explain this. It's just the way the world works, presumably...

Another blogger usefully raises the question Is the Fibonacci Progression another way of defeating the Hegelian dialectic? (27 May 2005), noting:

The Hegelian dialectic is an automatic response mechanism engendered by empowering the polarities around us. Thus the dialectic also is a perpetual polarity generating machine that feeds itself. False creationism, where division is the end result and all for the sake of "creating" more polarities. This indeed is most frightening.

It is frightening in that it is replacing a more natural way of dealing with needs and thoughts (Life) uniformly. Life on Earth, nature in general, provides a more natural progression to higher growth than the dialectic model. This natural model is known as the Fibonacci Progression. At the end of the day we are seeing the Hegelian Dialectic expanding into ever more territory previously immersed in Fibonacci progressive growth. The Dialectic seeks to enslave and dismantle the Fibonacci progressions.

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