Tuesday, December 18, 2007

MANSIONS OF THE MIND

The concepts of dimensions and multi-verses always found a sweet spot in my brain.
This is something i found while going through old files on my PC.


A square is flat as it is a 2-D object. In a 3-D world, such as the one we live in, an analogous object would be the cube. In a science fiction short story by Robert Heinlein, And He Built A Crooked House - a mathematically inclined architect constructs a home shaped like a folded out 4-D cube or tesseract. The idea is to save on real estate costs since the extra rooms would be occupying space in the fourth dimension. This kind of a spaced out hypercube is something most of us can't imagine, leave alone visualize. And the 11 dimensions posited in the string story just give most people headaches at 11 different places just to think about it.
So now when we hear about an international team of mathematicians which have finally managed to map one of the largest and the most complicated structure in mathematics with a total of 248 dimensions, the eyes just roll back and the mouth opens to gasp in air!!! It just shows that the human brain which is primarily geared to deal with the more "ordinary" world out there, has a rather independent mind of its own which can learn to cope with extraordinary and out of this world concepts. Yet, funnily, just because some things are not easily comprehended doesn't mean we cant figure out any practical use for them. In parallel computing for example, tesseracts are used as the basis for a network topology to link multiple processors.
In other words, starting from sometime now, and increasingly so in the future, we will have to build artificial annexes to complement the housing nature has provided. Only then will we be able to truly understand the complex nature of reality.