- #1
sgsawant
- 30
- 0
I wonder why it took me so long to ask this question. But it's better late than never.
Space has 3 dimensions. I have read numerous books where there are creatures who live in 1-D space, there're also hypothetical creatures who live in a 2-D space. But I don't remember reading a book where there are creatures who live in a 4-D space. In the numerous discussions I had with my friends, I remember (perhaps incorrectly) that we usually dropped the issue thinking that we being able to live in 3-D space can contemplate about 3-D spaces or lower; perhaps we can't contemplate about higher dimensioned spaces.
But what is so fundamentally difficult about higher dimensioned spaces? Mathematically there's no problem. Just create a 4X1 vector to represent a point in 4-D space and so on.
Maybe it's the inability to visualize that's making me queasy. But then there are some other things too. For instance, curl cannot be generalized to higher dimensioned space. Can you think of a computer game where 4-D spaces are used (visualization is not necessary, but the game should be truly 4-D in terms of SPACE)?
Somehow I think I am on the wrong track or I am asking the wrong questions. Please let me know if you have a better insight.
Regards,
-sgsawant
Space has 3 dimensions. I have read numerous books where there are creatures who live in 1-D space, there're also hypothetical creatures who live in a 2-D space. But I don't remember reading a book where there are creatures who live in a 4-D space. In the numerous discussions I had with my friends, I remember (perhaps incorrectly) that we usually dropped the issue thinking that we being able to live in 3-D space can contemplate about 3-D spaces or lower; perhaps we can't contemplate about higher dimensioned spaces.
But what is so fundamentally difficult about higher dimensioned spaces? Mathematically there's no problem. Just create a 4X1 vector to represent a point in 4-D space and so on.
Maybe it's the inability to visualize that's making me queasy. But then there are some other things too. For instance, curl cannot be generalized to higher dimensioned space. Can you think of a computer game where 4-D spaces are used (visualization is not necessary, but the game should be truly 4-D in terms of SPACE)?
Somehow I think I am on the wrong track or I am asking the wrong questions. Please let me know if you have a better insight.
Regards,
-sgsawant