Question about Symmetry

Question about Symmetry

Postby Ashutoshmjain » Sun Jul 05, 2009 7:31 pm

Hi Rob (and other scholars).

This is my first post to this forum. First of all , thanks a ton for this wonderful work. This has made such a complex subject little easier for a naive reader like me.

I have a question that is been on my mind ever since I started following "Imagining tenth dimension" . Pl pardon my little knowledge as I don't have much background in physics. Here is the question...

The first three dimensions are very symmetric in the sense we can fold any of these into another but I am unable to imagine if that is true for 4th dimension onwards.

To elaborate , we can fold length across width. Length and width (together) can be folded in third dimension say depth. All three can be folded in 4th (time).. The beauty of first three dimensions is they are interchangeable but this doesn't seems to be true for 4th dimension onwards .. am I right ?

If yes, then, the concept of "HIGHER" dimension starts from 4th dimension onwards. First three are at the same level. Can it be attributed to the fact that we humans are 3 dimensional creatures ?

I just wanted to confirm this . This has no bearing on the overall model. Just one of those things that keeps on coming back to my head and somehow I can't resolve it by myself

:(
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Postby Rob Bryanton » Mon Jul 06, 2009 12:05 am

Welcome to the forum, Ashutoshmjain.

Please check out a blog entry and video of mine called Why Stop at Ten Dimensions?
http://imaginingthetenthdimension.blogs ... ve-22.html
http://www.youtube.com/watch?v=Gbz-CefzT-g

In it, I talk about how each every dimension enfolds its own version of inifinity and is therefore symmetric. You're right, from our perspective it seems that we can manipulate the first three dimensions in ways that the rest cannot be manipulated, but I have to also agree with you that this has more to do with the fact that we're three dimensional creatures than it does with the "lower" dimensions having additional attributes: I have to keep returning to the idea that the extra dimensions as portrayed by physicists are spatial dimensions, and I believe that means there are certain kinds of logic that we can apply to those dimensions just as we do with the first three dimensions we're so intimately familiar with.

Thanks for writing!

Rob
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