  A novel mechanism of baryogenesis is proposed on the basis of the phase
transition from the conformal invariant space-time to the Einstein space-time
in quantum gravity. Strong-coupling gravitational excitations with dynamical
mass about 10^17 GeV are generated at the transition. They eventually decay
into ordinary matters. As a realization of unparticle physics we show that the
low energy effective interactions between the gravitational potential
describing the excitation and the non-conserving matter currents by the axial
anomalies can explain matter asymmetry out of thermal equilibrium.
