A lot of Fugue draws from Buddhism, including the idea of reincarnation (saṃsāra). In general the idea of loops and cycles are interesting, and we are frequently trying to break out of them: cycles of violence or suffering, for example. Often the breakage of these loops entail more loops, or turnings, as with "revolution." The role of reincarnation in Fugue is something more akin to class, race, and so on: categories that we are "born" into and that perpetuate inequities, like the children of wealthy parents being far more likely to be "succeed" in adulthood. These categories are also used to rationalize these inequities, like if you're born into lower or oppressed classes it must be deserved, a punishment for some personal failing in a past life.