There is an obvious question to be asked at this point. "Where
is the fifth dimension?" Kaluza's answer is clever, though suspiciously
hard to test. He said that the fifth dimension is too small to see.
The fifth dimension is contiguous with our four, but it is curled up, while
the others are extended. To understand curled-up dimensions, imagine an
ant living on a string (or a Linelander). For
all its life, it is only aware of two directions: forward and backward.
It lives in a one-dimensional universe. However, if you examine the string
very closely, you find that it has a circumference; an extra dimension,
curled up and wrapped back onto itself into a circle. If you could stretch
this dimension, that is, make the circumference very large, the ant would
be living on the two-dimensional surface of a cylinder. But when it's curled
up, it effectively is undetectable by the ant, though it may surve as a
medium for vibrations or other physical effects.