I was just thinking of wave propagation so if the curvature of the ocean around the earth is too invariant then a crescent of metal such as niobium which has the best resonance of any metal to detect the path of a moving wave through a known curved medium.

This may indicate if there is a curvature associated with being in a galactic structure as such given that the spiral arms are not straight.

Given that time and space are curved and light propagates as a wave function as does sound I wondered if this helped?