  Long range interactions between dark vectorial temporal cavity solitons are
induced though the spontaneous symmetry breaking of orthogonally polarized
fields in ring resonators. Turing patterns of alternating polarizations form
between adjacent solitons, pushing them apart so that a random distribution of
solitons along the cavity length reaches equal equilibrium distances.
Enhancement of the frequency comb is achieved through the spontaneous formation
of regularly spaced soliton crystals, 'self-crystallization', with greater
power and spacing of the spectral lines for increasing soliton numbers.
