  We have recently presented evidence that in configurations dominating the
regularized pure-glue QCD path integral, the topological charge density
constructed from overlap Dirac operator organizes into an ordered space-time
structure. It was pointed out that, among other properties, this structure
exhibits two important features: it is low-dimensional and geometrically
global, i.e. consisting of connected sign-coherent regions with local
dimensions 1<= d < 4, and spreading over arbitrarily large space--time
distances. Here we show that the space-time structure that is responsible for
the origin of topological susceptibility indeed exhibits global behavior. In
particular, we show numerically that topological fluctuations are not saturated
by localized concentrations of most intense topological charge density. To the
contrary, the susceptibility saturates only after the space-time regions with
most intense fields are included, such that geometrically global structure is
already formed. We demonstrate this result both at the fundamental level (full
topological density) and at low energy (effective density). The drastic
mismatch between the point of fluctuation saturation (~ 50% of space-time at
low energy) and that of global structure formation (<4% of space-time at low
energy) indicates that the ordered space-time structure in topological charge
is inherently global and that topological charge fluctuations in QCD cannot be
understood in terms of individual localized pieces. Description in terms of
global brane-like objects should be sought instead.
