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Posted by Ivan on November 14, 2002 03:37:01 UTC

Hypothesis: An n-dimension universe can expand infinitely in an n+1 dimension compact thing by curling.

Proof: Take any limited 2D-like object such as this CD that I have in front of me now. A 1-dimensional line with no width can expand infinitely on this limited 2D CD by curling. Now if a 1D being says: “This infinitely expanding universe we live in is actually compactified”, some of the other 1D beings may say: “not according to science”.

I would like to share some of my rough thoughts on why “compactified” might not be the best way to describe those extra dimensions:

We only see the extra so-called compactified dimensions through the Plank-length. However, we see them at Plank-length throughout the entire vast universe.

Here is what I mean. Maybe it is like a very opaque window screen with tiny Plank-length size holes. We don’t see what is beyond the screen from a distance. If we get closer and closer to the Plank length, we take a picture though one Plank-length hole and see a compact view. Thus we conclude that the dimensions outside the screen are compact. What if we were to take pictures through all the holes in the screen one-by-one and assemble them?

Suddenly, the view doesn’t seem so compact anymore.

Again, this is just brainstorming, so don’t burn me at the stake if I am way off :)

By the way, I really enjoyed what I read so far from your article “Coherent Rudimental Drumming.”



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