Isekai Taneuma

"He was the son of a notary.A notary is a job of certifying contracts between a state and an individual, not an official.When it comes to promises made by the state and individuals, it's mostly land deals.Therefore, the notary was required to have knowledge of geometry for surveying the land.

I studied mathematics after my father took it from me when I was a child, but it was about geometry.A bastard was not a notary, but he was taught geometry to measure the area of the land....

By the way, Guillaume. What do you know about the sum of the inner corners of a triangle?If you don't know, ask Scarsaha. "

Guillaume's expression was smooth.

"I know that, too. It's 180 degrees."

"Dear Left, this is generally the case.However, in some cases this may not be the case.For example, suppose that from now on, the pigeon leaves the garden and draws a triangle on the ground... what if the sum of the inner corners is not actually 180 degrees?

"I don't care what they say... is that what this is all about?

"Hmm. The triangle on the ground is not exactly the sum of the inner corners of 180 degrees.Because the earth is round. "

Let's start with the country on the equator.Kenya in East Africa is a country directly below the equator, near latitude 0 ° N and longitude 34 ° E.Continuing east from there, the Indonesian island of Sumatra lies near latitude 0 ° N and longitude 98 ° E.

Now, let's say Taro and Hanako are here.

Taro thought about traveling from Kenya to the Arctic via Sumatra Island.From Kenya to Sumatra Island, if Taro is heading east on the equator, how many times should he change his direction there?The answer is 90 degrees, right angle.

Instead, Hanako wanted to travel from Sumatra Island to the Arctic via Kenya.Now, how many times should Hanako-san, who has been heading west from Sumatra Island, turn around in Kenya?Needless to say, if you turn 90 degrees to the right, you should be heading north.

They then proceeded straight north and eventually rendezvoused at the North Pole.Then the trajectory through them should draw a triangle... how much is the sum of these inner corners?

They bent at right angles on the equator, so you can see they're already over 180 degrees at this point.They were supposed to move parallel towards the same north.But they met in the North Pole.What a triangle they drew, the sum of the inner corners, was 244 degrees.

"As you can see, the triangle drawn on the sphere is not the sum of the inner angles of 180 degrees; 180 degrees is only about the complete plane where the space is not distorted.You might think that whatever is natural or brought up such an exception, but there is no complete plane in the real world, so the exception is actually that the sum of the inner corners is 180 degrees.

That said, you don't normally have to think about that.The triangle depicted by Kui in the garden may not exactly sum to 180 degrees, but it is a trivial error that cannot be detected unless it is a very precise machine.So, normally you can think of it as 180 degrees... but given the size of the planet, you can't ignore it.

The universe is distorted everywhere, and there are many places where Euclidean geometry does not work.If the travelers on the planet mistook the planet for flat and turned around relying on the triangle on the map, they wouldn't have met at the North Pole.

Because the earth is round... in other words, because the space was distorted, it doesn't get to another place independently of the person's will.

And this event, "If the space is distorted, it will bend against the will of the person," was thought to be the identity of gravity. "

Einstein is a genius of the 20th century who was not told.

In conclusion, when there is an object with some mass, the space around it is distorted.The distortion increases proportionally to the mass, but the force is very small, so that almost no spatial distortion occurs, for example, with a mass as large as a human.

However, the size of the earth makes it impossible to ignore the boulder, and the mass of the sun makes the distortion of space even bend the light.Indeed, it has already been observed that the gravitational lens phenomenon distorts the space around the sun.This universe is really crooked everywhere.

But why is the distortion of that space the identity of gravity?I don't think so.Because we cannot recognize the distortion of that space.

Let's try to simplify things a little bit.

If the three-dimensional space is distorted, the two-dimensional space is also distorted. We can't intuitively understand the distortion of the three-dimensional space, but if the two-dimensional space is distorted, we can normally see it with our eyes.I want you to remember the residents of Flatland.

Flatlands are flat worlds spread out everywhere, with vertical and horizontal spreads but no thickness (or height).If you think about the drawing paper and the cloth pulled by the pin, it will be roughly the same as the image.

What do you mean this flatland is distorted?Distortion is the same as rounding the paper like a poster with a circle, so that the flat paper has a thickness like a barrel.In other words, it is synonymous with turning in a three-dimensional direction.

Alternatively, if an iron ball is placed on a pinned cloth, the area around the iron ball becomes dented by gravity.I wonder if many people have seen the earth in the middle, not the iron sphere.This is considered a distortion of two-dimensional space.

Flatland residents live in this distorted world, but they can't notice the distortion because they're stuck to the cloth and can't jump out of it.

Now, in this distorted flatland, two-dimensional people passed by the Earth.He tries to pass straight through the side, but his circumference is distorted in three dimensions, so he will bend along the distortion.

It's the same as when Taro and Hanako headed for the North Pole.They took a right angle on the equator and were supposed to move parallel to each other, but met at the North Pole.In the same way, two-dimensional people bend along three-dimensional distortions regardless of their will.

Then something strange happens.

We, the three-dimensional person, are watching Flatland from above, so we can recognize that the two-dimensional person bent due to the distortion of space.However, from a two-dimensional perspective, you can't recognize any distortion of space, so it feels as if you were pulled by a strange force.

I don't know why, but when I pass by something heavy, it pulls me there.

That's what gravity is.

"Feeling gravity means that the space is distorted in the direction of four dimensions.However, they don't notice the distortion of space, so they don't feel pulled by some kind of force... If they can jump out of three-dimensional space and see their world from four-dimensional space, gravity changes to the distortion of space.

"Seeing" a four-dimensional direction means turning the distortion of this space into a cognitive distortion.They can't recognize it, but if they feel gravity, it's always distorted in the four-dimensional direction.Don't be so conscious.Then your modern magic (qualia) will change dramatically..... "

Even the heat of wisdom... Guillaume looked bright red, put his hand on his forehead, and said in a state of trouble.

"... Leo. I know what you're talking about, but I don't know exactly what to do or what to do.What am I supposed to do after all?You want me to meditate?

Then Leonardo agreed to what he said.

"If you say so, yes.Close your eyes and stay still and feel the weight of your body, realizing that it is due to distortion of space.Their bodies are tied in three dimensions, but they also touch the four dimensional space at the same time.As you repeat that, at one point the switch in your brain switches and something changes and becomes visible.

It's the same thing to say that you feel the fifth particle (Fifth Element) coming from a four-dimensional direction.When they exercise their magic, the fifth particle comes from the other side of the distortion in space.Until now, you've only thought of it as a magical force, but from now on, let's exercise it consciously along with the distortion of space to see where it comes from and how it works on your brain.

For example, you are temporarily showing something with a mass called a pistol.It takes a lot of energy, so when you use magic, there must be a huge amount of energy flow around you.

And I can't feel it because it's not about the world in which they live, it's about the surplus world that jumped out of this three-dimensional space.But it is undoubtedly the Lord who is causing it, so he will try to capture the scale of power somehow. "

Guillaume answered with a lack of confidence.

"... anyway, are you trying to be conscious?Remember what space is like when you use magic. "

Well, that's fine first.From now on, when exercising your magic, always be aware of what you have said.Reform your consciousness by remembering it often in your daily life.As I have said many times, you already know how to access high dimensions using modern magic.Otherwise, you can't make a pistol.Therefore, when you keep thinking and your perception of space changes, you will somehow understand how the world works so that your baby understands how to walk.At that time, your brain will know how to access the high-dimensional world of ideas. "

"... even if it can be used today and tomorrow, it seems like nothing will happen."

But this is the fastest way.

Leonardo concluded with a long explanation.