A random thought of higher dimensional geometry and Doraemon

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Mehrab4226
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A random thought of higher dimensional geometry and Doraemon

Unread post by Mehrab4226 » Wed Jan 27, 2021 1:34 am

Doraemon has a pocket that is 4 dimensional.
While I was randomly thinking, I saw that,
A 1D line is made up of infinite 0D points.
A 2D area is made up of infinite 1D lines.
A 3D volume is made up of infinite 2D areas.
So shouldn't a 4D figure be made with infinite 3D volumes? If this is true then Doraemon's pocket(which is 4 dimensional) can keep the entire observable universe, can't it? If that's true then wow :o
Last edited by Mehrab4226 on Wed Jan 27, 2021 10:29 pm, edited 1 time in total.
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
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Anindya Biswas
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Re: A random thought of higher dimensional geometry and Doraemon

Unread post by Anindya Biswas » Wed Jan 27, 2021 4:18 pm

Yeah, we are living in a Doraemon's pocket! If there exists another pocket, then there should be a parallel universe there. We have to make a hole in this pocket to go to the other one! :D
"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."
John von Neumann

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Mehrab4226
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Re: A random thought of higher dimensional geometry and Doraemon

Unread post by Mehrab4226 » Wed Jan 27, 2021 10:33 pm

Anindya Biswas wrote:
Wed Jan 27, 2021 4:18 pm
Yeah, we are living in a Doraemon's pocket! If there exists another pocket, then there should be a parallel universe there. We have to make a hole in this pocket to go to the other one! :D
But to make a hole we need a border, right? But can we reach the border though? I think even with science fiction technology it is impossible to reach a point that is at distance say $k$, where $k \to \infty$.
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré

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Mehrab4226
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Re: A random thought of higher dimensional geometry and Doraemon

Unread post by Mehrab4226 » Thu Jan 28, 2021 12:21 am

But wait! Having a border would mean it has a finite volume, wouldn't it? But this contradicts that Doraemon's pocket is 4 dimensional. 4th Dimension is hard to imagine :?
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré

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Anindya Biswas
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Re: A random thought of higher dimensional geometry and Doraemon

Unread post by Anindya Biswas » Thu Jan 28, 2021 4:41 pm

Mehrab4226 wrote:
Wed Jan 27, 2021 10:33 pm
Anindya Biswas wrote:
Wed Jan 27, 2021 4:18 pm
Yeah, we are living in a Doraemon's pocket! If there exists another pocket, then there should be a parallel universe there. We have to make a hole in this pocket to go to the other one! :D
But to make a hole we need a border, right? But can we reach the border though? I think even with science fiction technology it is impossible to reach a point that is at distance say $k$, where $k \to \infty$.
I don't think we need a border to make a wormhole. Just like when we can make a hole on a 2D surface, we can also imagine a hole in a 3D universe.
"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."
John von Neumann

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Mehrab4226
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Re: A random thought of higher dimensional geometry and Doraemon

Unread post by Mehrab4226 » Thu Jan 28, 2021 7:17 pm

It may be true, that we can make a hole in 3D. But imagining it is totally not an easy task! or at least not easy for me. :(
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré

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