Quantum Fibonacci

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89...

Looks familiar? This is a number sequence we'd probably seen in high school maths textbooks, without any idea what it means. This is a Fibonacci sequence, a sequence of number where each term is the sum of the two terms before it. For example, the seventh term, 8, is the sum of the fifth and sixth term, 3 and 5.

What most people didn't realized, though, and what most high school maths teacher got wrong, is that the Fibonacci sequence is actually a geometric progression, with a common ratio of 1.618, which is also known as the Golden Ratio. Try it yourself by expanding the sequence - the answer is true.

But what I find more intriguing is how 0, the first term, can turn into 1, the second term. Surely any number multiplied by zero equals nil, so what happened?

My "conjecture" answer is: quantum theory. Or rather, quantum evolution. To explain this, lets go back to the beginning of life, just as this transition from nil to one occurs in the beginning of the Fibonacci sequence. According to quantum theory, the first replicating protein molecule that forms from the polymerization of amino acids did not occur randomly. Just as a potential - life or not life, for the lack of description - can collapse either way, the environment acts a a measuring tool, which in turn, collapse the potential that allows life to form out of the primordial soup of amino acids.

Life started not only because the environment caused it to happen to the act of measuring, it's also because life is the better measuring tool for any potential. Life then evolved because the environment continues to measure It, even as Life measures Itself.

Similarly, won't that be the way nil became one? A collapse of potential because one is a better measuring tool than nil, then the Golden Ratio kicks in to expand the Fibonacci sequence into the infinite. Of course, you may disregard this as nothing but hogwash, and I accept that, because as I said, this is merely conjecture, not a proven theory.

Also, since the Fibonacci sequence has a common ratio, we can reverse the whole sequence by simply changing the Golden Ratio into a negative number, i.e. -1.618. A reminder that just as there are positives and negatives in maths and numbers, life itself may collapse one way or the other.

... -89, 55, -34, 21, -13, 8, -5, 3, -2, 1, -1, 0

Basics of Max Planck's Quantum Theory

Einstein's theory of relativity states that a substance has to be either a particle or a wave, but it is not generally known that Max Planck's quantum theory contradicts it, stating that a substance can be both particle and waves, once matter is broken down into subatomic levels. There are three basic principles in quantum theory, which are as follows:

First - Neutrons, protons and electrons all act as both particles and waves. They can be particles, moving in distinct pathways or orbits, or they can be waves, being more diffused. This ability to become either, to be suspended between both states, is known as a potential.


Second - Heisenberg Uncertainty Principle - Basically, nothing is certain until it is observed. Take a senior high school physics experiment for an example: if you get a double slit paper like below,
And fire a paintball gun at it, the bullets should spatter the surface behind the double slit paper in a pattern like this, which is the pattern a particle would make.
But, if you shine a torchlight through the slits, the light will diffract to show a pattern like this (Light is a form of electromagnetic wave).
Now, if you take an electron gun and fire it through the double slit to a phosphorescent surface, what you'd get is the pattern of the waves. Imagine, electrons traveling as waves. After this, if you place a clicker that beeps whenever it detects the passage of a electron, and switch on the electron gun again, the diffraction pattern immediately switches to that of the particles. It does not work in a larger world, but it does when it comes to subatomics.


Third - As shown in the Heisenberg experiment above, the way to collapse the potential to one side or the other is to measure it. The electrons, once measured by quantity passing through the double slits, immediately changed from waves to particles. And the act of observing and measuring is carried out by the environment.


The subatomic particles in the universe, in our body, even, are constantly under measurement from the environment - that's why we remain, well, us.