One theory of the universe is that it has 10 dimensions; 3 along each visible axis, and the tenth being time. How appropriate that we're on the Tenth Doctor :)
The theory is that the extra ones are rolled up inside (possibly outside) the visible ones.
Extrapolate the idea that a 2-dimensional being wouldn't understand how walking in a straight line round a ball could bring them back to the starting place. Then blowing up a straight line (traditionally one-dimensional) could leave it looking a bit like a pencil - you could walk around its circumference (one extra dimension) or along the length, round the point, back along the underneath & round the blunt end (the other extra dimension). It still *looks* one-dimensional to us, becasue we're 3-D beings, but the extra ones are there inside anyway.
Brian Green expains it better in "The Elegant Universe". I can accept it the same way I can accept quantum duality and wasabi filling in chocolate cake (they shouldn't work, but they do).
Would I be right in thinking that this theory is needed to make the physics work - i.e. make predictions? But is not needed in order to accomplish tasks such as navigating to the bus stop and eating chocolate?
Unless the bus stop and chocolate are on the scale of Planck's constant (see nmg), then probably not. But if you *do* find yourslef walking in teeny weeny spirals, you'll know why :)
In string theory, and its offspring M-theory, it is assumed that there are as many as eleven dimensions, but that some of these are 'rolled up' smaller than the Planck length and cannot be observed.
A common analogy for this is to consider a piece of garden hose. From a distance, it appears to have only a single dimension, its length. Close up, there is another closed dimension, namely its circumference.
no subject
Date: 2006-01-18 01:58 pm (UTC)no subject
Date: 2006-01-18 02:07 pm (UTC)Extrapolate the idea that a 2-dimensional being wouldn't understand how walking in a straight line round a ball could bring them back to the starting place. Then blowing up a straight line (traditionally one-dimensional) could leave it looking a bit like a pencil - you could walk around its circumference (one extra dimension) or along the length, round the point, back along the underneath & round the blunt end (the other extra dimension). It still *looks* one-dimensional to us, becasue we're 3-D beings, but the extra ones are there inside anyway.
Brian Green expains it better in "The Elegant Universe". I can accept it the same way I can accept quantum duality and wasabi filling in chocolate cake (they shouldn't work, but they do).
la la la
Date: 2006-01-18 02:21 pm (UTC)Re: la la la
Date: 2006-01-18 02:48 pm (UTC)no subject
Date: 2006-01-18 02:15 pm (UTC)A common analogy for this is to consider a piece of garden hose. From a distance, it appears to have only a single dimension, its length. Close up, there is another closed dimension, namely its circumference.