The irrotational motion of a compressible inviscid fluid

The irrotational motion of a compressible inviscid fluid is studied in the field of analogue gravity, where its metric is compared to that in general relativity, a fluid analogue of an evaporating black hole has been realized experimentally, and there are symmetries related to the standard model. Here we show the analogy also extends quantitatively to electromagnetic and quantum mechanical phenomena. We discuss a candidate model to account for the number and precision of these analogies.