Gauge Wheel of SuperfluidHe4

The assumption is explored that the equilibrium order parameter of a superfluid rotates with a rotating container. Since rotations and changes of phase are then intimately related in inhomogeneous configurations, effects like the ${}_{}{}^3{}_{}{}^{}\mathrm{He}$-$A$ "gauge wheel" of Liu and Cross should arise in any superfluid. Such effects may be difficult to observe, but it is shown that their existence in superfluid ${}_{}{}^4{}_{}{}^{}\mathrm{He}$ is directly implied by nothing more than the conventional equations of two-fluid hydrodynamics.