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In recent work we proposed a novel theory of dark matter (DM) superfluiditythat matches the successes of the LambdaCDM model on cosmological scales whilesimultaneously reproducing MOdified Newtonian Dynamics (MOND) phenomenology ongalactic scales. The agents responsible for mediating the MONDian force law aresuperfluid phonons that couple to ordinary (baryonic) matter. In this paper wepropose an alternative way for the MOND phenomenon to emerge from DMsuperfluidity. The central idea is to use higher-gradient corrections in thesuperfluid effective theory. These next-to-leading order terms involvegradients of the gravitational potential, and therefore effectively modify thegravitational force law. In the process we discover a novel mechanism forgenerating the non-relativistic MOND action, starting from a theory that isfully analytic in all field variables. The idea, inspired by the symmetronmechanism, uses the spontaneous breaking of a discrete symmetry. For largeacceleration, the symmetry is unbroken and the action reduces to Einsteingravity. For small acceleration, the symmetry is spontaneously broken and theaction reduces to MONDian gravity. Cosmologically, however, the universe isalways in the Einstein-gravity, symmetry-restoring phase. The expansion historyand linear growth of density perturbations are therefore indistinguishable fromLambdaCDM cosmology.

Another Path for the Emergence of Modified Galactic Dynamics from Dark Matter Superfluidity