General > RANT
Continuance of the INfinity Proposal
Numsgil:
--- Quote from: gymsum ---yeah I didnt think it helped my situation, but it was interesting. But I think it was full of turd jam to be honest. I dont see how I can draw imaginary lines and call them real dimensions.
--- End quote ---
Well actually you can. That's what I was trying to say in my last post. Dimension is just a word that means something you can measure that is orthogonal to whatever other dimensions you've defined. Meaning if I have two dimensions: x, y, I can change x without necessarily changing y. So distance and time work, but distance measured in meters and distance measured in feet don't, since if I change my distance in meters I have to change my distance in feet as well, so they aren't orthogonal.
Spatial dimensions is different, and is what most people mean when they say dimensions. Spatial dimensions have special properties which are defined by topology, a unit of mathematics that studies abstract geometry (very abstract).
So that youtube video is technically correct in that you can construct 10 dimensions exactly as it indicates you can. Whether those dimensions correspond to reality or not is another question. I think most of them at least could be considered spatial dimensions as well, but I can't say for certain when he goes to his higher dimensions. I think it was trying to hint that these were the 10 dimensions of string theory, which is patently incorrect. But since it never really said it (I admit I mostly browsed it, so maybe it did?) I won't fault it for that.
gymsum:
--- Quote from: Numsgil ---
--- Quote from: gymsum ---yeah I didnt think it helped my situation, but it was interesting. But I think it was full of turd jam to be honest. I dont see how I can draw imaginary lines and call them real dimensions.
--- End quote ---
Well actually you can. That's what I was trying to say in my last post. Dimension is just a word that means something you can measure that is orthogonal to whatever other dimensions you've defined. Meaning if I have two dimensions: x, y, I can change x without necessarily changing y. So distance and time work, but distance measured in meters and distance measured in feet don't, since if I change my distance in meters I have to change my distance in feet as well, so they aren't orthogonal.
Spatial dimensions is different, and is what most people mean when they say dimensions. Spatial dimensions have special properties which are defined by topology, a unit of mathematics that studies abstract geometry (very abstract).
So that youtube video is technically correct in that you can construct 10 dimensions exactly as it indicates you can. Whether those dimensions correspond to reality or not is another question. I think most of them at least could be considered spatial dimensions as well, but I can't say for certain when he goes to his higher dimensions. I think it was trying to hint that these were the 10 dimensions of string theory, which is patently incorrect. But since it never really said it (I admit I mostly browsed it, so maybe it did?) I won't fault it for that.
--- End quote ---
Well it gave me headache when they tried to explin all the 3rd dimension were two collapsed points.
Numsgil:
He had to do that because otherwise he couldn't draw all of his dimensions on a 2D video. The way he did it isn't quite right, it should collapse a square to a line, instead of a line to a point, since a point is not a 1 dimensional object but a 0 dimensional object...
abyaly:
Dimensions in physics are almost certainly vector space dimensions, rather than topology dimensions. Topology is just wierd (but in a good way). Calling topology geometry seems a bit of a stretch.
Numsgil:
Ultimately that's what topology is, though. It's geometry, but abstracted away from reality to just its core. That's where the terms like "ball" come from.
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