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## Main Question or Discussion Point

I've read that string theory requires 11 dimensions, our 3 spatial dimensions, time, and then 7 more dimensions that only exist at sub-nuclear distances. They are described as tightly wound up dimensions, much smaller than a proton.

I don't understand this picture. Mathematically, we can pinpoint any location, no matter how small, using the same 3 Cartesian coordinates. So how does the fact that they are very small mean that they are "extra" dimensions?

I've read that space is quantized at very low distances. Are these new dimensions smaller than one quantized unit? Is that why they exist, regardless of Cartesian mathematics? The math is not relevant at such small distances in the physical world?

I'm confused.

I don't understand this picture. Mathematically, we can pinpoint any location, no matter how small, using the same 3 Cartesian coordinates. So how does the fact that they are very small mean that they are "extra" dimensions?

I've read that space is quantized at very low distances. Are these new dimensions smaller than one quantized unit? Is that why they exist, regardless of Cartesian mathematics? The math is not relevant at such small distances in the physical world?

I'm confused.