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One basic behavior of
matter---especially tenuous matter that can deform easily into its
embedding space--- is its characteristic of creating sharp, singular
spatial structure spontaneously. The vortex in a draining sink and a
crumpled sheet of paper are two examples. Often these structures are
fundamental consequences matter's essential nature---its local
connectivity and its inertia. What is the range of this
singularity-forming behavior, to what degree does it condense the
system's energy into the singularity, and what analogous singularities
might occur in spacetime?
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