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Proof that Aleph Zero Equals Aleph One, Etc.

ABSTRACT: According to the current dogma, Aleph-0 is less than Aleph-1, but is there evidence to the contrary? Is it really true that ...

Saturday, June 18, 2016

Why Too Few Dimensions are as Bad as Too Many

Zero-dimensional particles and one dimensional strings present a problem: They have a finite amount of energy but take up a zero volume of space, so it’s theoretically possible to have an infinite number of these particles or strings in the smallest space you can imagine. That implies infinite energy or a lot more energy than you expect to measure.

One hydrogen atom could have an infinite amount of energy if it contains an infinite number of strings. Another hydrogen atom could contain less than an infinite amount of strings, but still have far more energy than you would expect. A third hydrogen atom has the amount of energy you expect. This is the kind of crazy universe we should have if there are things that are less than 3D. As I showed in a previous post, you have similar problems when you have more than three dimensions.

Perhaps our universe really is 3D plus time, since that arrangement avoids the absurdities mentioned above.

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