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

Abstract

In recent work we proposed a novel theory of dark matter (DM) superfluidity that matches the successes of the LambdaCDM model on cosmological scales while simultaneously reproducing MOdified Newtonian Dynamics (MOND) phenomenology on galactic scales. The agents responsible for mediating the MONDian force law are superfluid phonons that couple to ordinary (baryonic) matter. In this paper we propose an alternative way for the MOND phenomenon to emerge from DM superfluidity. The central idea is to use higher-gradient corrections in the superfluid effective theory. These next-to-leading order terms involve gradients of the gravitational potential, and therefore effectively modify the gravitational force law. In the process we discover a novel mechanism for generating the non-relativistic MOND action, starting from a theory that is fully analytic in all field variables. The idea, inspired by the symmetron mechanism, uses the spontaneous breaking of a discrete symmetry. For large acceleration, the symmetry is unbroken and the action reduces to Einstein gravity. For small acceleration, the symmetry is spontaneously broken and the action reduces to MONDian gravity. Cosmologically, however, the universe is always in the Einstein-gravity, symmetry-restoring phase. The expansion history and linear growth of density perturbations are therefore indistinguishable from LambdaCDM cosmology.

23 pages, 2 figures. v2: typos corrected

References in corpus (16)

• Theory of ultracold Fermi gases
• General coordinate invariance and conformal invariance in nonrelativistic physics: Unitary Fermi gas
• Environmental Dependence of Masses and Coupling Constants
• Bose-Einstein condensation of dark matter solves the core/cusp problem
• Dwarf Spheroidals in MOND
• Gravitational polarization and the phenomenology of MOND
• Low-Energy Quantum Effective Action for Relativistic Superfluids
• Model of Dark Matter and Dark Energy Based on Gravitational Polarization
• An Alternative to Particle Dark Matter
• Are galaxies extending?
• Gravitational collapse of Bose-Einstein condensate dark matter halos
• Reconciling MOND and dark matter?
• A Universe Without Dark Energy: Cosmic Acceleration from Dark Matter-Baryon Interactions
• A census of the expected properties of classical Milky Way dwarfs in Milgromian dynamics
• Reinterpreting MOND: coupling of Einsteinian gravity and spin of cosmic neutrinos?
• A Dark Matter Superfluid

Cited by in corpus (30)

• Ultra-Light Dark Matter
• Dark matter heats up in dwarf galaxies
• Phenomenological consequences of superfluid dark matter with baryon-phonon coupling
• MOND vs. dark matter in light of historical parallels
• Galaxy Clusters in the Context of Superfluid Dark Matter
• Unified Superfluid Dark Sector
• Three problems about multi-scale modelling in cosmology
• Dynamical Friction in Superfluids
• Emergence of the mass discrepancy-acceleration relation from dark matter-baryon interactions
• A Universe Without Dark Energy: Cosmic Acceleration from Dark Matter-Baryon Interactions
• The Equation of State of Dark Matter Superfluids
• Gravitational wave as probe of superfluid dark matter
• Large Distance Modification of Newtonian Potential and Structure Formation in Universe
• Dark Matter Superfluidity
• Emergent long-range interactions in Bose-Einstein Condensates
• Constraints on self-interacting Bose-Einstein condensate dark matter using large-scale observables
• Dynamical friction in Bose-Einstein condensed self-interacting dark matter at finite temperatures, and the Fornax dwarf spheroidal
• Cosmological simulations of self-interacting Bose-Einstein condensate dark matter
• Dynamical History Of The Local Group In $\Lambda$CDM $\mathrm{II}$ $-$ Including External Perturbers In 3D
• Baryon-Interacting Dark Matter: heating dark matter and the emergence of galaxy scaling relations
• Lopsidedness of self-consistent galaxies by the external field effect of clusters
• Acausality in Superfluid Dark Matter and MOND-like Theories
• Testing Emergent Gravity with Optical, X-ray, and Weak Lensing Measurements in Massive, Relaxed Galaxy Clusters
• Causal Modifications of Gravity and Their Observational Bounds
• Growth of Linear Perturbations in a Universe with Superfluid Dark Matter
• Scale Invariance at low accelerations (aka MOND) and the dynamical anomalies in the Universe
• Collapse of spherical overdensities in superfluid models of dark matter
• The Modified Schrodinger Poisson Equation -- Quantum Polytropes
• The Dark Matter Enigma
• Dark Matter Realism: How Referential Semantics Restricts Realism in Contemporary Fundamental Physics