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...this t(h)read has strayed a bit from lightning (and that was very
interesting) but I think your comments about Density are worth
thinking about.
That means that the something is any appropriate quantity and the
space is 3-dimensional or two-dimensional or one-dimensional (or
n-dimensional, if for example we want to refer to the density of
states in some kind of phase space).
Now, in physics, if we just say density, the quantity we are probably
referring to is mass and the space is 3-dimensional, so its a (volume)
mass density, the ratio of mass to density with SI units kg/m^3.
(By the way, I find the term "per [unit] volume" rather meaningless,
but that is another story.)