We consider the ultralight pseudo Nambu-Goldstone boson appearing in t
he late-time cosmological phase transition theories as a major dark ma
tter candidate. Since it is almost massless, its nature is more waveli
ke than particlelike. We study quantum mechanically how they form a ga
lactic halo. Three predictions are made: (i) the mass profile rho simi
lar to r(-1.6); (ii) there are ripplelike fine structures in the rotat
ion curve; (iii) the rotation velocity multiplied by the ripple's wave
length is galaxy independent.