  We introduce a pregeometry employing uniform spaces over the denumerable set
X of spacetime events. The discrete uniformity D_X over X is used to obtain a
pregeometric model of macroscopic spacetime neighborhoods. We then use a
uniformity base generated by a topological group structure over X to provide a
pregeometric model of microscopic spacetime neighborhoods. Accordingly, quantum
non-separability as it pertains to non-locality is understood pregeometrically
as a contrast between microscopic spacetime neighborhoods and macroscopic
spacetime neighborhoods. A nexus between this pregeometry and conventional
spacetime physics is implied per the metric induced by D_X. A metric over the
topological group Z2 x ... x Z2 is so generated. Implications for quantum
gravity are enumerated.
