Trans-Planckian censorship, inflation, and dark matter

摘要: If the inflationary phase lasted longer than minimal period, length scales observed today originated from modes that were smaller Planck during inflation. It was recently argued this ``trans-Planckian problem'' can never arise in a consistent string theory framework, which places stringent constraint on energy scale of inflation, ${V}^{1/4}\ensuremath{\lesssim}1{0}^{9}\text{ }\text{ }\mathrm{GeV}$. In paper, we show requirement corresponds to very small Hubble ${H}_{\text{inf}}\ensuremath{\lesssim}1\text{ }\mathrm{GeV}$, and therefore has serious consequences scenarios dark matter density generated by amplification quantum fluctuations We also present class models both satisfy above limit for inflation are perfect agreement with observational data.