dimensions

All posts tagged dimensions

More hyperspace

Published April 2, 2013 by isabellai8

So I read a bit more last night and I found something that I definitely had to stop and think about.  Famous mathematician Goerg Bernhard Riemann imagined a race of flatworms living on a piece of paper.  Their entire world is two dimensional.  But he questioned what would happen if someone crumpled the paper they lived on.  The worms would get crumpled with the paper, and still see their world as two dimensional.  However, if they tried to walk in a straight line, they would find themselves pushed by some unseen ‘force’- the folds in the paper.

Riemann suggests that things like gravity and other unseen ‘forces’ in our world could really be ‘crumples’ in other dimensions.

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Hyperspace

Published April 1, 2013 by isabellai8

Realizing I would never be able to successfully learn physics in such a short period of time, I put down my Physics of Superheros book and picked up Hyperspace by Michio Kaku.  I am only a few pages into chapter two, but I have already learned a lot.  Apparently when we look at the laws of physics and geometry with five or more dimensions, they become simpler.  There are even ways to mathematically calculate things in more than three dimensions, even though our human minds cannot picture such an item.

Take the Pythagorean theorem.  A cornerstone of basic geometry.  We can apply this to a cube, by stating that a b and c represent three adjacent sides of a cube.  a^2 + b^2 + c^2 = d^2 where d is the diagonal of the cube.

Now let’s give the cube N dimensions and z is the length of the diagonal. a^2 + b^2 + c^2 + d^2 … = z^2

So we can mathematically find the length of a five dimensional cube, even though we cannot picture it.

I’m definitely going to have to move slowly through this book, but I think I’m going in the direction I want to.

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