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.

Introspection

I'm the kinda guy who reflects on things most of the time. That's 'cause most of the time, I had no one to talk to. So I talk to myself. My mother says its abnormal, but I think its okay if you only do so around people you know very well (and whom knows you well enough, too).

Anything that crosses your mind deserves introspection, I can tell you that. I believe that thoughts don't flit through your mind without reason, that synapses don't fired in our brains in a certain sequence randomly. Therefore, your thoughts - and even your dreams - are definitely worth pondering over.

Through it, people can learn to see things more differently. Its not for better or for worse, just... different. Some may learn to be better at looking into the minutiae, some may become more adept at spotting the overall trend. Its a bit like observing a forest - some can see the patterns taken by the veins of leaves on each tree, whilst others can spot the distribution of species across the landscape.

One more thing about introspection is that I can ditch every restraint upon myself and actually accept views and thoughts with what logic I had. Plainly speaking, I debate with my alter personality or ego, then embrace the outcome even if it contrasts strongly with my previous views and opinions. The reason for that, I suppose, is that I could shed my pride and accept my own criticisms with grace - something I might not have done willingly if the change of mind is brought about by another person.

I have only one gripe about thinking to myself, though - it happens too fast and too randomly. Not for nothing do they say that thoughts "flit". So sometimes, you'd need a pen and paper, or some other means to record it down, then analyze and interpret it later.

Be as it may, introspection helped me a lot throughout my short life thus far. It never fails me, never cease to surprise me.

Elder

Oh, how I loved him.
He has everything I could wish for in myself - attractive looks, charming personality, good physique. But I don't love him because of that. I love him because he's him.

Oh, how I hated him.
His arrogance, his laziness, his bullshit. He thinks he's a demigod, one who doesn't even have to care about his godly parents, not to mentioned the "petty mortals". He thinks he doesn't need to give a damn about his family, refuses to share any responsibilities, and knows only to point the finger of blame at others instead of sharing the guilt or help make things right. The only thing he wants is to have things done his way

Oh, how I hated that I loved him.

Who?

My brother. My darling, younger, spoilt brat brother.

The Traveller

I could scarcely believe my eyes as I opened them. As I got up from the bed I was lying on, I had to rub them to make sure I was not hallucinating. I wasn't.

I am standing in what looked like the first floor of a log cabin. The walls, the floor, and the ceiling were all made of strong hardwood. From a window beside the cot I can make out the outline of trees, as well as hear the song of the birds, but there is too little light for me to see more clearly. It must be near dawn, I thought.

The next thing I noticed about are my clothes. They're not the usual T-shirt-and-jeans I'm used to. In their place was a green tunic, a dark red vest over it, black pants held by a wide belt, the leggings tucked snugly into a pair of felted high boots.

But it still doesn't explain how I got here. As I screw up my eyes in concentration, I began to remember exactly what happened before I woke up in this strange place...

* * * *

"Yup, we'll definitely be late for English lesson."

I made that remark to Him Soon, my classmate, as we headed back to the classroom after finishing an experiment in the lab during Biology. He simply shrugged, as if saying that it cannot be helped. Outside, it was getting dark - flashes of lightning indicated that it would be raining soon. As we got near a group of classmates strolling and chatting in front of us, Him Soon veered left out of the shaded corridor to cut a path to another one opposite the canteen. I followed suit, but did not go further than five steps before something happened to me.

I looked upwards, just in time to see a lightning bolt zigzagging its path down - towards me. I glanced at Him Soon, now several paces away and barely noticing anything wrong afoot, then stared transfixed at the lightning as it drove straight towards my chest. It felt like being hammered with a wrecking ball. I hardly registered the boom of thunder before everything went black.

* * * *

So I was struck unconscious by the lightning, but that still doesn't explain how I'd end up here, I thought while examining my body for any signs of injuries. Not a scar remained, even those acquired from incidents in the past. When I touched my face, it felt smooth, not pimply. And I'm not wearing glasses either, even though I see clearly, which is weird for a guy who's 1000-plus degree myopic. The only mark on my body appears to be the red stains on the fingers of my right hand that I got for dipping them in eosin solution during the biology experiment.

Sudden footsteps alerted me to the presence of another guy in this cabin. It came up from the small flight of steps opposite the corner where I was. Mentally bracing myself, I awaited the unknown person to come up to me.

Up came someone wearing a brown, heavily-cowled robe, with its hood up. He faced me, silent, as if scrutinising me. Without warning, he threw back his hood. Underneath, his face was that of a Buddhist monk, Eastern in appearance, with a bald scalp, long eyebrows, and a thin scar that runs down the cleft of his left chin.

"Welcome back, Traveller," he spoke.

Traveller. As that very word reverberated around my head, memories that were long locked away flooded my mind. At first, the staggering amount of recollections nearly had me down on my knees, comprehending only brief snatches of it - facing off a red wyrm, wielding a bone scimitar that bursts into flames, talking to a band of warrior-women - however, gradually I began to make sense of those seemingly alien reminiscences, but which were actually my own. The instant I understood everything, I opened my eyes again, this time with a new certainty.

I am a Traveller, a walker of planes, an explorer of worlds. With the arrogance of deities, I am one of them whom alter realms and create places as they are now because of our actions. Some of us prefer order - others had an affinity for chaos. There are no rules that could bind us, yet we are held more tightly in chains than they who know nothing of our existence. None, except one of our own, can know our true identity. No one, I realised as I gazed back at Raijin, the monk who initiated and introduced me as Traveller several lifetimes ago.

"They'll be saddened by your departure. I'm sorry to bring you in this way, but certain matters of urgency require your ways to be put into use again."

"I wish to at least offer them comfort," I said.

"...Very well,"

* * * *

Extending my mind using psionics, I touched the minds of everyone I loved, anyone who grieved my 'passing'. My parents were especially anguished, and it pained me to feel the keening of their hearts and yet being unable to tell them in person that I'm okay.

Instead, through an empathy link, I had only offered them solace, reassurance that things would end up alright if they would move on. Withdrawing from their minds, I prayed - though to whom, I know not - that they would continue their lives with acceptance.

* * * *

Returning to the cabin, Raijin's temporary residence in Orb, I found nobody left in side, but stowed away in a chest right in the middle of a room were the possessions of all my identities. After putting them on - separately - the bottom of the chest reveals my next destination. Inscribed on it was a rose with one leaf and its blossom between the two horns of a crescent moon. A ghost of a smile tugged at the corner of my lips as I consider the company that I would find there.

House of June, I thought, here I come.