JB Manchak (University of California, Irvine)
It has been argued that "it is a general feature of the description of physical systems by mathematics that only conclusions which are stable, in an appropriate sense, are of physical interest'' (Geroch, 1971, 70). Here, we consider the spacetime property of effective completeness (cf Manchak 2014) which rules out "local holes'' in spacetime (see Earman 1989). We show a strong sense in which effective completeness is not stable; an effectively complete spacetime can be arbitrarily "close" to spacetimes without this property.
