
Originally Posted by
AntonioLao
The growth of plants seems to follow the Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, etc. On the other hand, binary branching is 1, 2, 4, 8, 16, 32, 64, etc. The Fibonacci sequence seems like an arithmetic sequence with no common difference while the binary sequence is a geometric sequence with common ratio of 2. The first regulates the growth of many living things. The second was responsible for the dreaded radioactive decay of heavy nuclei.
If a process of continued differences is applied to the Fibonacci sequence it is possible to derive alternating negative integers such that the sequence now appears as 0, 1, -1, 2, -3, 5, -8, 13, -21, 34, -55, 89, etc. This expanded sequence could be used to explain the asymmetry of baryon and anti-baryon number in cosmology.