Sun Jan 1 17:04:12 EST 2012
Density of discrete entities
There's something funny going on with the concept of density for a
finite amount of particles. How is the "blurring" regularization for
this to work usually handled?
I guess that moving to a statistical interpretation solves this
problem. The density is not a property of the particles, but one of
the probability distrubution that is used as a model of the particles.
I.e. model 10 particles by thinking of them as a (random) a sampling
from a PDF, then talk about the PDF instead.