Trans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle

摘要: Abstract There are good indications that fundamental physics gives rise to a modified space–momentum uncertainty relation implies the existence of minimum length scale. We implement this idea in scalar field theory describes density perturbations flat Robertson–Walker space–time. This leads non-linear time-dependent dispersion encodes effects Planck scale inflationary epoch. Unruh type relations naturally emerge approach, while unbounded ones excluded by principle. also find red-shift induced modifications theory, due reduction degrees freedom at high energies, tend dampen fluctuations trans-Planckian momenta. In specific example considered, feature helps determine initial state fluctuations, leading power spectrum.