Abstract
The constraint of trans-Planckian censorship conjecture on brane inflation model is considered. The conjectures put an upper bound on the main parameter including temperature, inflation time, potential, and the tensor-to-scalar ratio parameter $r$. It is determined that the resulting constraint could be more stronger than what we have for the standard inflationary models. The constraint in general depends on the brane tension and it is concluded that the conjecture also confined the value of brane tension in order to have consistency for the model. Confining the brane tension turns into a determining value for the five-dimensional Planck mass.
Highlights
Understanding the origin of the initial condition of the universe is one of the main purposes of the cosmology
The trans-Planckian censorship conjecture (TCC) imposes a constraint on the model which includes spacetime expansion, like inflation, and it implies no limit on the cosmological evolution of standard big-bang cosmology where the fluctuations never cross the horizon
The recently proposed trans-Planckian censorship conjecture seems to impose a strong constraint on standard inflation
Summary
Understanding the origin of the initial condition of the universe is one of the main purposes of the cosmology. Based on string theory, which is known as the best candidate for quantum gravity, every effective-field theory should possess some features and meet some conjecture. Standing on the same logic as the last paragraph, the trans-Planckian censorship conjecture (TCC) has been proposed by Bedroya and Vafa [60] stating that no quantum fluctuation with a wavelength shorter than the Planck length is allowed to cross the Hubble horizon, freezes and become classical. The TCC imposes a constraint on the model which includes spacetime expansion, like inflation, and it implies no limit on the cosmological evolution of standard big-bang cosmology where the fluctuations never cross the horizon. The TCC imposes a stronger constraint on the parameter of brane inflation than the standard inflation
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