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We argue that a natural explanation for a variety of robust galaxy scalingrelations comes from the perspective of pattern formation and self-organizationas a result of symmetry breaking. We propose a simple Lagrangian model thatcombines a conventional model for normal matter in a galaxy with a conventionalmodel for stripe pattern formation in systems that break continuous translationinvariance. We show that the energy stored in the pattern field acts as aneffective dark matter. Our theory reproduces the gross features of ellipticgalaxies as well as disk galaxies (HSB and LSB) including their detailedrotation curves, the radial acceleration relation (RAR), and the Freeman law.We investigate the stability of disk galaxies in the context of our model andobtain scaling relations for the central dispersion for elliptical galaxies. Anatural interpretation of our results is that (1) `dark matter' is potentiallya collective, emergent phenomenon and not necessarily an as yet undiscoveredparticle, and (2) MOND is an effective theory for the description of aself-organized complex system rather than a fundamental description of naturethat modifies Newton's second law.

Pattern dark matter and galaxy scaling relations