- 6,272
- 4,052
I always did not understand this part. If it is Low 1-C, then why so, because it does not prove significant size needed, it just proves higher dimensionality. A 1D line segment with length of 1 cm contains uncountably infinite 0D points (because there are uncountably infinite numbers between 0 and 2, even between 0 and 10^-10^-10^-10^-10^-10 there are still uncountably infinite numbers. Both are the same size in cardinality, mathematically, even the same size as set of all real numbers), a 2D 2 cm^2 square contains uncountably infinite line segments, and so on. This means that uncountably infinite points does not mean infinite line segment: it can be whatever finite length, even teeny-tiny. Therefore, uncountably infinite n-dimensional objects does not make up an infinitely-sized (n+1)dimensional construct by default: the (n+1)d dimensional construct's extra-dimension can be however small. The uncountable aspect only suggests a raise in cardinality/dimensionality. Therefore, via this principle, it would mean uncountably infinite universes would not result in infinitely-sized 5D structure; it would instead have uncountably infinitely-sized time axis, as well as the values of depth, width, and length of the universes it is made up of (which is usually either observable or infinite), but the 5th dimension can be whatever size. The 5th dimension can indeed be however small.