ABSTRACT
This chapter focuses on some of the ways that spatial curvature can manifest itself in discernible ways, and considers the use that Graham Nerlich makes of the tangible manifestations. Spaces that vary markedly in curvature also cast new light on Leibniz's static and kinematic shifts. The doubling in Euclidean space has no thing, thing consequences depends on specific symmetries unique to the structure of that space. It seems that the phenomenon of enantiomorphism yields precisely the same lessons as spatial curvature. If the material universe were moving through the three-dimensional analogue of a Flatland mountain range, the discernible geometry would vary over time in quite dramatic ways, and the patterns of variation would vary, depending on the speed and direction taken. The course of our earlier explorations of Newtonian dynamics, there are worlds where the relationist needs to distinguish between inertial and non-inertial paths.
