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Okay... no. This is the problem. The 4th dimension is not time. We can represent time as the 4th dimension in a system if we want to, but you can have systems
by roundsquare 16y ago
Okay... no.
This is the problem. The 4th dimension is not time. We can represent time as the 4th dimension in a system if we want to, but you can have systems where the 4th dimension is not time.
A good example is when people create a matrix representing links in webpages. If you limit your universe to online 100 webpages and their interconnections, you can get a vector for each webpage. The vector is a point in 100 dimension space. The 4th dimension is not "time" but "if the 4th website on the list links to me."
- jules 16y agoOK, then I should have worded it like this: I can visualize a 4 dimensional vector space over the reals. Even if the 4th dimension in your particular setting is not time, I can still visualize it as such. Also, visualizing an n dimensional vector is not very interesting. A vector indicates a point, and a point looks the same in any number of dimensions.
- roundsquare 16y agoSure, I suppose visualizing a point is not very interesting. I'm talking about visualizing 4 dimensional space. Can you close your eyes and imagine 4 mutually orthogonal lines?