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You can visualize the 4th dimension. Just imagine 3d space moving through time. 5 is where is starts to be problematic. BTW the video is ok until 4:30. Then it
by jules 16y ago
You can visualize the 4th dimension. Just imagine 3d space moving through time. 5 is where is starts to be problematic.
BTW the video is ok until 4:30. Then it quickly degrades into nonsense, not just more complicated than needed.
- roundsquare 16y agoOkay... 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?