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Fibonacci Sequence In Theoretical Physics


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I believe the Fibonacci Sequence is ubiquitous in nature due to natural selection of growth pattern efficiency.

The Fibonacci Sequence has very practical survival utility; It affords maximum use of space for collection of sunlight and petal and seed placement.

a) it forms a perfectly balanced structure in vertical growth. Almost all vertical growing organisms utilize the FS . Branch growth in trees follow almost always the FS.

http://www.eniscuola.net/wp-content/uploads/2016/07/fillotassi_en.jpg

b) it is the most efficient distribution format in plant petal growth and seed distribution. Daisies almost always have FS sequential petal growth. Pine cone seeds are arranged in FS.  Sunflowers seed are arranged in FS sequences.

Flowers

The Fibonacci sequence can be seen in two different places in flowers. The most visible place is the petals of a flower. Several flowers have petals that are numbers of the fibonacci sequence. Lilies have 3 petals, buttercups have 5 petals, and daisies have 34 petals, for example. Scientists have theorized that petals that fit the Fibonacci sequence absorb more sunlight, among other uses.

02538662bfa34d49989b54ce0ffa33f4.jpg

Fibonacci sequence as seen in pine cones

http://www.eniscuola.net/en/2016/06/27/the-numbers-of-nature-the-fibonacci-sequence/

Sunflower seeds

https://interestingengineering.com/mother-natures-favorite-number-sequence-the-fibonacci

Edited by write4u
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I also believe the Fibonacci Sequence offers the perfect self-referential mathematical information processing function, a form of quasi intelligent mathematical information processing. Consciousness is not required for functionality. These are fundamental and simple mathematical guiding equations for most growth functions, similar to a pure exponential growth function. i.e. 2, 4, 8, 16, 32, 64, .....etc.

There are several similar regular patterns like the Fibonacci Sequence, such as  2, 2, 4, 6, 10, 16, 26 ........etc.....and 1, 3, 4, 7, 11, 18.......etc.  

I am confident these regular self-referential patterns evolve over time via natural selection, dependent on the mathematical growth pattern allowed by environmental conditions. They are part of the tendency for symmetry in nature.

https://scholarworks.smith.edu/cgi/viewcontent.cgi?article=1029&context=mth_facpubs

 

Edited by write4u
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