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BTW The Extra Dimensions Don't Have To Be "culed Up"

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Posted by Paul R. Martin on November 19, 2001 03:04:17 UTC

Hi again,

I forgot to mention that I see no reason why extra spatial dimensions need to be "curled up tightly" in order for them to be undetectable. The relationship between a space and an embedded manifold achieves that without the necessity of "curling" them up.

If anyone thinks otherwise, I would dearly, and desperately love to hear their arguments. I have searched in vain for any such arguments and I have only heard two:

1. The tacit assumption that we should be able to "see" extra dimensions if they exist. I think my previous post explains why not.

2. If extra spatial dimensions exist then inverse square laws would become inverse cube, or higher, laws. This is not necessary if our 3D space is a manifold. The topological characteristics of a manifold are independent of any higher dimensional space in which they are embedded.

If you, or anyone else, has any disagreement with these arguments, or if you have any other reasons why we should expect to be able to detect additional dimensions if they exist, please, please post them here.

Warm regards,

Paul

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