Fantasy Maths War Part II

Notes before the story :

* 1. This story is more related to the korean comic Fantasy Maths War than the Chronos Myths. However, Chronos content will appear too.
* 2. Names of the characters are not spelled in rules of Chronosian, so read them in English.
* 3. It's very unlikely that this massive tale will properly end. So be warned of it.
* 4. My English is BAD, so don't be afraid to point out any mistakes in my stories, including grammar, spelling and word usage mistakes.

## Book 21 : A Mathematical Return

### Chapter I : The Imaginary Number

Six years have passed since the legendary journey of Jisu and his friends, and both middle-world and atlantis remains in peace. But no longer will this peacefull scenery continue, as on the gathering of the seven light warriors on the day, Lisa has recieved an anonymus letter, air-dropped by a bird from above. One cannot call it a harangue, nor a brief letter, as it simply wrote :

*LISA, WHY ARE YOU HOLDING ON TO THIS? YOU KNOW YOUR SECRET. SPEAK IT.*

The moment Lisa put it on the table, speculations start to appear.

"Forgive me for asking, but what secret are you holding on to?" asked Io.

"I have no secrets." murmured Lisa. "How can I have one... "

"It's alright if you don't want to tell us any secrets. But this is apparently a threatening letter. Have you been plunged into anything recently?" Io asked concernfully as she inspects the letter for anything suspicious. "There is a small ... signature on the back corner. It says, *From: 1 to the 4th root, neither 1 nor -1.”*

And that's how the ending of book 20 happened. And when mina brought Jisu back to Atlantis, Lisa told him the story.

"Sorry for the interruption." Said Jisu, "1 to the 4th root? neither 1 nor -1 ?"

"Right." Replied Lisa. "Any ideas?" (STOP PRETENDING THAT I'M NOT HERE !, SAID KAY WITH NOT MUCH HIGH A VOICE)

"None for the moment, but I feel like this is an oppertunity."

Jisu gazed at the new lands of monit. Cliffs had risen from the sea, and countless seabirds were either flying around or resting among this newly-created land. He wondered what journeys lay there for him to go on, what problems awaits him to solve. He had the feeling that an answer must be there, just across the not-so-wide channel, which gives everything sense.

"What are you thinking about?"

"I'm wishing for a new adventure. I seriously think that instead of sticking to this '4th root of 1' question in front of our eyes, shall we seek new knowledge beyond the horizon with our hearts." said Jisu trying to construct a fancy sentence.

“Certainly something Jisu would say. Always filled with 'inspirations' and 'philosophic statements'. All I was thinking is how Jisu hadn't returned the loan yet." said Kay.

"Must it take another six years for you to forget about the loan thing?"

And it made Kay speechless. Everyone else laughed.

Suddenly did the bird return, dropping another letter.

*LISA? I'M WATCHING YOU. MEET ME AT YOUR TEMPLE AT AKAAD.*

And so did Lisa go back to her temple, with Io and Jisu coming along, the two letters wrapped in her pocket.The temple seemed pretty normal at first sight, without any signs of intrusion or even anyone entering. But looking closely reveals what's different : text written on the outer walls.

*GREAT. HERE YOU ARE. COME IN.*

"Those walls aren't for grafitting!" said Lisa as she walked in, finding nothing but everyday stuff and emptiness in the room. As she was wondering if whoever's been sending her letters had gone because of waiting too long, she heard a sound. BOOM !

And all the three turned their eyes back, with two of them seeing a white cloak and an even-whiter cone-shaped hat in the air, with a pair of somewhat inconspicuous not-very-white gloves in front of the cloak, also floating. "Surprise! Did I shock you? " It was the voice of a girl.

"What's going on here?" Said Io as she stepped backwards.

"I don't know. " Wondered Jisu. "I'll stop using long words and terms cause I'm confused too. Alright?"

"But you said you wanted a new adventure!"

"I DID expect something new. NOT this."

"Sorry for the invisibility that surprised you." Said the girl in the cloak. "I don't have an actual name, but you can call me as i. See what I brought here : the knight of X, the elf from kauri, and ... whom I wrote the letter to. Perfectly meets my expectations."

"i ?"

"You'll figure that out later. For now, just remember that this is not a first-person, but rather a lower-cased one."

And the temple went silent for a moment before i broke it.

"You're a great combination of seven, I'd say, though only three of you have come today. “ i said with a serious tone. " You know? I respect you. Really. So, have you been thinking about what the 4th root of 1 is?"

"the square root of ... the square root of 1, which is 1 or -1. that means ... Does -1 have a square root anyways?" Asked Jisu looking for help around.

"What do you think?"

"I think .... we can keep the operation, and say ... √-1 ?"

"Or i. You're as smart as I thought you would be. But here's the real question. Where is i ?"

"What?" asked the three simultaneously.

"Every number you know is on a line, which we call the number axis. Now, where is i in this chart ?" i drew a line on a piece of paper she brought.

"It's ... somewhere outside of the axis." said Jisu nervously.

"Where exactly?"

It's not on the axis. It's not on the axis. What else do we know?

... Nothing.

"i can be ... anywhere."

"I can be anywhere. good answer. But maybe not good enough. What is the absolute value of i?"

If we multiply two numbers, the absolute value of the product would have been the product of the absolute values. Pretty straight forward. So if we multiply i and i we get -1 ... that means the absolute number is : " 1. "

"Where is i ?"

" ... Somewhere which's distance to the origin is 1. Maybe on a perpendicular line. "

"Great! You got it! Now, goodbye." laughed i in a wierd witch-like voice. Suddenly, her white outfits started to turn more and more soft and transparent. The three light warriors stepped backwards once more.

"I am i, I am negative i." said i as she left the room quietly, and was then nowhere to be found.

#### Maths after the chapter : why is i somewhat equivalent to -i ?

The defenition of i is : "i is the square root of -1. " . However, each number has two square roots. If the number itself is a positive real number (real number means a number with nothing to do with i) , the square roots will be one positive and one negative. Even if the number is not, the roots will still be opposite numbers of each other. Therefore, the defenition doesn't state whether it's i or -i. Therefore, they are equivalent. Every mathematical equation that works with i works with -i too. Please keep this in mind.

### Chapter II : Behind the Scenes

North of Atlantis, north of kauri, even north of anywhere that was or will be explored, lies maeanif, the garden of manifold, or as some say, the world of nothingness. But it wasn't truly empty, for that a purple dressed girl was walking between the trees and the halls. She had been considered dead by Atlantis for a thousand years, yet she did not care : the manifold faces a wider world.

A wider world, where numbers do not matter, where cores of elements lie, where cluvki, linpoybio and the traveler was, where she is respected as a protagonist or mascot, depending on one's opinion, of the "Chronos myths".

She had two friends to talk with in the manifold : one being Infiniti, one being Disodaeli. Or as ones of Atlantis call them, Paira and Dionis. They are considered as gods by ones below, but they are not from their own point of view, for that the world is under the rule of Caelai Aut anyways.

Her name, was Chronos de Brad, or as her friends called her long ago, Chris.

Unlike the two other gods always dealing with whatever happens in the manifold, she had nothing in specific to do, which made her a bit absent in the wars of the 14th age. But now she wanted something more interesting and more dramatic to happen, or she feels as if the children of manifold were unpleased. They wanted stories, as they said, neither everything in it's perfect position nor the world in completely randomness, but good stories to happen. So when everything was in peace and a thousand years passed since the first war, Chronos awoke Sunya, and gave him the name of Asura, so that he could restart the war.

Then she found i in an island named monit. Chris asked i to "take care of" the going of the war, make fluctuations in it, in the name of the god of stories. Everything went fine at first, but as Mina found her way into the manifold by being the light of transcension, Chris was surprised and thought if the story went too far. She locked i and Mina in the depths of the manifold garden, where they escaped afterwards. Everything after this is well-known, maybe except for a few things.

Six years later, Chronos asked i for more stories. "The readers are unsatisfied. For us being part of the story, it is nessecary to create more or we will be forgotten." That is her logic.

She was quite determined to make something out.

That's why i came.

"We'd go on a trip." she thought. "to ... somewhere, past lands and seas, to ... somewhere, with something of interest. Why not to Monit or Insu? Both great places to be. It will most certainly make a good story, if not a new legend, and surely will it literally broaden the horizons for the Atlantisians.”

So a trip it was.

On the other hand, there was Paira and Dionis, or as in Chronosian, Infiniti and Disodaeli.

The least to say, Maeanif is a strange world, and Dionis was a strange god. Unlike how Paira hides behind the scenes and takes care of Maeanif, Dionis does things 100% randomly, without a meaningful purpose. However, she has the cwameiep and the ability to summon it with her umbrella, making her a somewhat stronger existence than her sister Paira.

Long ago, during the 14th age, after the battle 1006 years ago, she was considered too chaotic and was slain by Paira “for good”. Yet because true gods do not die, Dionis was given a chance of rebirth by Caelai Aut.

But what's above, though probably well-known, was not all of the tale. Stories are to be continued...

"Great. Atlantis is going crazy again." said Caelai Aut as she looked through the paper reports sent to her office in Niheli. "A place with no element cores at all having battles commence thrice. How abnormal. Has Chronos been paying attention to her hometown already?"

"I think i's going to start a journey instead of a battle." answered Natsida.

"But things like this always turn out to turn into battles, especially when it has something to do with Chronos. I can't help feeling as if the geo core will be used. The core is so tied with mathematics, like, 900 years ago."

"I know your point, How the core is at Ouro Tower of monit and stuff like that. But I believe i would not have made things this far."

"We'll see." replied Caelai, "Before another battle-of-the-14th-age starts or it doesn't."

"Why not summon Chronomiae? She knows everything."

"She wouldn't answer."