A Novel Way to Construct the Fibonacci Sequence and the Uni-Phi-cation of Mathematics and Physics
Pure and Applied Mathematics Journal
Volume 4, Issue 4, August 2015, Pages: 139-146
Received: May 4, 2015; Accepted: May 18, 2015; Published: Jun. 16, 2015
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Author
David F. Haight, Department of History and Philosophy, Plymouth State University, Plymouth, New Hampshire, USA
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Abstract
When the Fibonacci number sequence is based on the number seven and its multiples, the Fibonacci sequence self-reflexively reappears when differences are calculated between it and this new number-seven-based Fibonacci sequence. The same thing happens with Lucas numbers. Can this same procedure be applied to any two numbers at the beginning of a Fibonacci/Lucas-like sequence? The answer is in the negative. This special quality of the golden proportion casts light on the fine structure constant of hydrogen, which is the unique, lightest, and most pervasive element in nature, plus other constants in nature, all of which have a dimensionless number close to the golden proportion (Phi) of the Fibonacci sequence, and provides the basis for the binary computer code as well as a uni-Phi-ed theory of mathematics and physics.
Keywords
Fibonacci Sequence, Lucas Sequence, Golden Proportion, “Prime” Prime Number, Hydrogen Fine Structure, The Physical Constants, Binary Computer Code, A Uni-Phi-ed Theory of Mathematics
To cite this article
David F. Haight, A Novel Way to Construct the Fibonacci Sequence and the Uni-Phi-cation of Mathematics and Physics, Pure and Applied Mathematics Journal. Vol. 4, No. 4, 2015, pp. 139-146. doi: 10.11648/j.pamj.20150404.11
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