Fibonacci Sequence: Back to Basics

Back to Basics




The Linear Algebra View of the Fibonacci Sequence | by Andrew Chamberlain, Ph.D. | Medium - https://medium.com/@andrew.chamberlain/the-linear-algebra-view-of-the-fibonacci-sequence-4e81f78935a3 Sent from my Galaxy

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Links blogged: The Fractal Nature of Consciousness, Intuition and Neural Networks

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  The above picture shows the neural network structure of galaxies Inspiration: https://quran.com/55/6 Meaning: The stars and the trees bow down ˹in submission˺ and   https://www.quran.com/41/53 Meaning: We will show them Our signs in the horizons and within themselves until it becomes clear to them that it is the truth. Is it not sufficient that your Lord is a Witness over all things?     Dark Energy Survey - Large Scale Structure: https://www.darkenergysurvey.org/supporting-science/large-scale-structure/   The Strange Similarity of Neuron and Galaxy Networks: https://nautil.us/issue/50/emergence/the-strange-similarity-of-neuron-and-galaxy-networks Not strange at all if one understands the idea of conjugacy which is structurally exhibited within and outside each of us: As within, so without. As above, so below.  The principle of conjugacy is to allow for beauty to exhibit itself. The Fractal Nature of Consciousness and Intuition - https://www.resear...
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Science fulfills Aesthetics: To what extent can science explain what and why we don't know information about an area still to be understood by science?

Science exists for beauty. Science exists to fulfill the purpose of beauty that a certain consciousness - God - wishes to express. Science fulfills mathematical requirements that expresses beauty. As a case in point, the DNA bases - A,C,G,T - serves to fulfill the beautiful helical structure that we observe. Why are there DNA that does not code for proteins? Over 90 percent of human genome does not code for protein. Answer to this question is because DNA like the rest of the cosmos is for display purposes. “Less than 9.5 percent of human DNA is functional, according to Oxford University researchers. This overturns the mainstream theory that 80 percent of the human genome is of some biological importance.” Aesthetics, not function take precedence in the cosmos. The structure that the realm of nature exhibits fulfills the purpose of beauty. The materials in the cosmos serves to fulfill a conscious display of beauty. References: https://www.rt.com/news/175844-human-genome-junk-dna/ https:...
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Is there randomness and chaos in our world at a fundamental level, or is it still just the degree of our ignorance?

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 From a birds’ eye point of view, which is the view from a mathematical - philosophical - point of view, chaos is absolutely deterministic while at lower level points of view, or physical point of view, chaos appears haphazard. The above shows a point that has “escaped” from the Mandelbrot set. The position of the point gives the appearance of escape although it deterministically occurred at iteration number 1019. This can be described as a deterministic escape. We do have mathematical theories on chaos that can describe chaos as a deterministic phenomenon. The study is called dynamical system. The equations of dynamical systems are non-linear and many are impossible to solve. What this means is that the domain of manifestations will appear haphazard. Here’s a simple exercise: Play the pinball machine. Are the motions of a pinball machine deterministic? https://plays.org/game/pinball/ More about that here: https://www.researchgate.net/publication/267386121_THE_PINBALL_MACHINE_AS_HY...
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