Abstract
The paper concerns the fundamental constants of physics. The fine structure constant is inferred first with the help of a generalized Fibonacci sequence. Next this generalized sequence is also implemented in order to show the interconnection between various fundamental constants. The analysis of an extended definition of Fibonacci sequence reveals that the fundamental constants take the meaning of archetypal templates that model the physical appearance of the observable Universe. Once more appears in this conceptual frame the natural and serendipitous link between quantum and relativistic theories.
Highlights
IntroductionThe standard definition of Fibonacci sequence is
The standard definition of Fibonacci sequence isF = 1,1, 2,3,5,8,13, (1.1)quoted in the following as F = F (1.1) to emphasize the first two terms of the sequence
The analysis of an extended definition of Fibonacci sequence reveals that the fundamental constants take the meaning of archetypal templates that model the physical appearance of the observable Universe
Summary
The standard definition of Fibonacci sequence is. The first two numbers are crucial in determining all terms of the sequence, being by definition each term sum of the two preceding ones. This sequence was originally aimed to calculate the reproduction rate of rabbits under appropriate fertility hypotheses: the first two terms are required equal to one to signify the first couple of rabbits. If each couple becomes fertile at the end of the first month and gives birth to a new couple when the second month is completed, the meaning of each term of the sequence is the number of fertile couples per month.
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