Regarding the
Vorpal Blade hater's
writeup, the following should be pointed out about the
value of
pi: The
constant pi refers to the
ratio between certain geometric aspects of a
circle in
Euclidian space! But as we know, real
space is
noneuclidian. This is
Bad News for any claims regarding the invariance of, say, the ratio of a
blood vessel's
cross section to its
radius (assuming the radius controls the
pressure in this manner). Since this cross-section lives in a noneuclidian geometry, it is subject to change according to the
local curvature tensor (or even just
curvature, if you just want to do this in
3 dimensions). In other words, it is not constant!
We may therefore conclude that standing near a black hole might not be such a Good Idea. In the past, I placed a few warning signs near them, but somehow they all vanished.
THOSE THINGS ARE DANGEROUS! YOU HAVE BEEN WARNED!