A movie that simulated with "physics engine" if "If the earth is a cube rather than a sphere" is released



Earth plannerWhatever you say, the fact that the earth is roundProof can also be done scientificallySo, it is no longer a doubtful fact. But if it were a cube rather than a sphere, what would it be like to happen? Let's simulate with various physics on various questionsChannel artificial intelligenceAre summarized in the following movies.

【Physics Engine】 If the Earth is a cube type 【Cube Earth】 - YouTube


Currently I understand that the earth is a spherical shape with a radius of 6400 km. However, the fact that the earth is a sphere itself has been cast from BC, and a scholar of Hellenistic eraEratosthenesIt is said that we measured the size of the earth for the first time in mankind using the fact that the earth is a sphere.


However, in ancient times, many people, except some scholarsThe earth is flatThere are a lot of people who think so, even in modern times.


So prepare a cube with the same density and volume as the Earth sphere. The length of one side is 10270 km. Of course the cube's earth is the same mass as the original earth because density and volume are equal.


I will set Tokyo to the center of that one aspect. I think that the earth rotates on an axis passing through Tokyo and perpendicular to the plane.


In the first place, it is thanks to the gravitation that we can live normally on the rotating Earth. And gravity will be the portion of universal gravity minus the centrifugal force caused by the rotation of the earth. Since the face touching the sphere is perpendicular to the radius of the sphere, we can feel gravity almost perpendicular to the ground wherever you are on the earth.


However, if it is a cube, the angle will change depending on the location, so if you try to calculate gravity, it will become complicated like the image below. Also, since universal gravitation is inversely proportional to the square of the distance to the center of gravity of the earth, the size of gravity also changes on cubes where the distance to the center is not constant, unlike spheres.


When I tried assigning this confusing formula to the physical engine, the direction of gravity is like the image below. All arrows are facing the center of the cube.


In Tokyo at the center of the face, the distance to the center of gravity is shorter than when it is a sphere, so the gravity increases slightly, but since the gravity is almost vertical to the ground, you can live as usual


However, on the side of the cube the distance to the center of gravity is definitely longer than when it is a sphere, so gravity will decrease.


Furthermore, since the gravity goes towards the center of the cube, the ground continues to be a flat surface, so for a person on the side it feels like a 45 degree slope.


As a result, the direction and magnitude of gravity change, causing a mysterious phenomenon that it slides down towards the center of the plane though it is a planar topography.


Also trying to pour the sea water on the earth into the cubic earth ...


Because water accumulates in the center of the face, a huge puddle will cover the center of the face.


As a result, Japan located at the center of the face will sink to the bottom of the ocean.


The next question to emerge is the problem of the atmosphere on the earth.


The Earth's atmosphere is maintained by gravity. Therefore, if it is a cube earth, it gathers at the center of the surface like seawater. However, since seawater is accumulated in the center, if it is assumed that the place where humans live is 1 to 0.7 atm, only the annular part around 10 km around it will be the place where humans can live.


Then, those who live in the part of the cube near the atmosphere where there is almost no air have to live on the steep slope near 45 degrees while wearing space suit. Moreover, the disparity of land on the earth will be bigger than now, and mankind might compete for a residential area of ​​10 km in width.


The movie finishes with a simple impression that "the earth is round and saved" in the end.

in Science,   Video, Posted by log1i_yk