  It is conjectured that inflation, taking account of quantum gravity, leads to
a discrete spectrum of cosmological perturbations, instead of the continuous
Gaussian spectrum predicted by standard field theory in an unquantized
background. Heuristic models of discrete spectra are discussed, based on an
inflaton mode with self gravity, a lattice of amplitude states, an entangled
ensemble of modes, and the holographic or covariant entropy bound. Estimates
are given for the discreteness observable in cosmic background anisotropy,
galaxy clustering, and gravitational wave backgrounds.
