incompressibility enables dual views of measurement evolution vs state evolution
Two ways to view how a measurement changes as the phase space evolves with time:
- We stay in the old, pre-evolution, coordinate system, so the measurement operator doesn't change, but the state (distribution) has changed
- We move to a new coordinate system defined by the phase space evolution, so the measurement operator has now changed, while the state has not (this is the part that relies on incompressibility!)