Currently, I'm studying biology. I haven't had anything to do with dimensions and time for many years now, but I'll recall what I can and contribute my theories.
Somewhere along the line, I heard that there may be a 4th...matter? I forget its term. Anyways, it consisted of three at first, them being solids, liquids, and gases. I heard a theory of the fourth being time, which seems as though it couldn't be the next dimension if its also a component in the lines of solids, liquids and gases... (Someone let me know what those are called please, its driving me mad.)
Also, I have been thinking. Maybe we can set up a new relationship between the dimensions. I guess I'll start it off, but others correct me if I'm wrong.
Draw a line on a piece of paper. Notice two things. One, the line exists on the paper (2D). Two, the paper exists on a desk (3D). Notice how the line would *possibly?* not exist if it didn't have those other dimensions to rely on. (This is my theory, though it is possible it could work in reverse, by saying that 3D relies on 2D planes, and 2D planes rely on single dimensional lines.)
Going from my first case, ill sketch it.
--- needs [] to exist, [] needs [ ]=[] to exist, [ ]=[] needs x to exist
--- is a line, [] is a plane, [ ]=[] is a 3D figure. But what is x? Whatever it is, in my theory's case, it would involve something that all other dimensions would rely on. Once again, if this were in reverse, then x would be the one to rely on the line from the first dimension which makes up everything else.
Either way, someone with more experience in this field should be able to clear up which cycle works better. Then it would be like a Venn Diagram where each circle would fit perfectly into the one around it.
While this doesn't specify what the fourth dimension and beyond would be, it opens a path as to what it would have to contain to be possible.
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