"Mike" <no.spam.@please.com> wrote in message
news:2nodb.2516$qJ6.2145840@monger.newsread.com...
If we assume a 10 dimensional space-time, 9 space, 1 time dimension, what
is
the dimensionality of the space-(time) enclosed inside a world-sheet of a
1D
closed string? Or in this case, since the string is closed, it is more of
a
world-tube. If we place caps on each end of the world-tube, at two
different
instances of time, how many dimensions does it enclose? Would that be 3D
or
10D? I'm having trouble visualizing this.
Thanks.
Normally, with the x-y plane perpendicular to the time dimension, it seems
obvious that the volume inside a cylindrical world-tube (with caps on each
end) is 3D. But when the plan perpendicular to time represents many more
dimensions, then I'm not quite sure how many dimensions are enclosed inside
a cylindrical world-sheet. Visually, it seems you only have only one more
dimension to get across to the other side of a world-sheet. But then again
you are traveling in a plan that represents many dimensions.
Any help?
.
