The Fibonacci sequence is a series of numbers where a number is found by adding up the two numbers before it. Starting with 0 and 1, the sequence goes 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so forth. Written as a rule, the expression is xn = xn-1 + xn-2.
scientific publication 'nature' issue 454(pages 362-363) http://www.nature.com/nature/journal/v464/n7287/full/464362a.html The golden ratio — an exact 'magic' number often claimed to be observed when taking ratios of distances in ancient and modern architecture, sculpture and painting — has been spotted in a magnetic compound.
According to Albert Einstein's formula E = mc2, when several particles form a collective bound state, the mass (m) of the system is reduced from the sum of the constituent masses by the binding energy (E) of the ensemble divided by the square of the speed of light (c). For the strong forces, which hold together protons and neutrons in nuclei, and quarks in protons and neutrons, the ratio of the system's mass to the sum of the constituent masses can be significantly reduced from 1.
even in the quantum world this rule has been observed(science daily). The universe is not random.
Golden ratio discovered in quantum world: Hidden symmetry observed for the first time in solid state matter. Summary: Researchers have for the first time observed a nano scale symmetry hidden in solid state matter. They have measured the signatures of a symmetry showing the same attributes as the golden ratio famous from art and architecture. https://www.sciencedaily.com/releases/2010/01/100107143909.htm
“This most beautiful system of the sun, planets and comets, could only proceed from the counsel and dominion of an intelligent and powerful Being.” Isaac Newton, The Principia: Mathematical Principles of Natural Philosophy
“This most beautiful system of the sun, planets and comets, could only proceed from the counsel and dominion of an intelligent and powerful Being.” Isaac Newton, The Principia: Mathematical Principles of Natural Philosophy