We investigate the implication of trans-Planckian censorship conjecture(TCC)for the initial state of primordial perturbations.It is possible to set the state of perturbation modes in the infinite past as the Minkowski...We investigate the implication of trans-Planckian censorship conjecture(TCC)for the initial state of primordial perturbations.It is possible to set the state of perturbation modes in the infinite past as the Minkowski vacuum,only if the pre-inflationary era is past-complete.We calculate the evolution of the perturbation modes in such a pre-inflationary era and show that at the beginning of inflation the perturbation modes with wavelengths much shorter than the Hubble scale(but still larger than the Planck length scale)will behave as they are in the Bunch-Davis state.Therefore,a past-complete pre-inflationary evolution may automatically prepare the initial state required for the inflationary perturbations at the CMB window while obeying the TCC.展开更多
Since trans-Planckian considerations can be associated with the re-definition of the initial vacuum, we investigate further the influence of trans-Planckian physics on the spectra produced by the initial quasi-de Sit...Since trans-Planckian considerations can be associated with the re-definition of the initial vacuum, we investigate further the influence of trans-Planckian physics on the spectra produced by the initial quasi-de Sitter（d S） state during inflation. We use the asymptotic-d S mode to study the trans-Planckian correction of the power spectrum to the quasi-d S inflation. The obtained spectra consist of higher order corrections associated with the type of geometry and harmonic terms sensitive to the fluctuations of space-time（or gravitational waves） during inflation.As an important result, the amplitude of the power spectrum is dependent on the choice of c, i.e. the type of spacetime in the period of inflation. Also, the results are always valid for any asymptotic d S space-time and particularly coincide with the conventional results for d S and flat space-time.展开更多
基金suppoerted by the China Postdoctoral Science Foundation(Grant No.2019M650810)the National Natural Science Foundation of China(Grant No.11905224)+2 种基金supported by the National Natural Science Foundation of China(Grant Nos.11575188and11690021)supported by the University of Chinese Academy of Sciences。
文摘We investigate the implication of trans-Planckian censorship conjecture(TCC)for the initial state of primordial perturbations.It is possible to set the state of perturbation modes in the infinite past as the Minkowski vacuum,only if the pre-inflationary era is past-complete.We calculate the evolution of the perturbation modes in such a pre-inflationary era and show that at the beginning of inflation the perturbation modes with wavelengths much shorter than the Hubble scale(but still larger than the Planck length scale)will behave as they are in the Bunch-Davis state.Therefore,a past-complete pre-inflationary evolution may automatically prepare the initial state required for the inflationary perturbations at the CMB window while obeying the TCC.
基金supported by the Islamic Azad University,Qom Branch,Qom,Iran
文摘Since trans-Planckian considerations can be associated with the re-definition of the initial vacuum, we investigate further the influence of trans-Planckian physics on the spectra produced by the initial quasi-de Sitter（d S） state during inflation. We use the asymptotic-d S mode to study the trans-Planckian correction of the power spectrum to the quasi-d S inflation. The obtained spectra consist of higher order corrections associated with the type of geometry and harmonic terms sensitive to the fluctuations of space-time（or gravitational waves） during inflation.As an important result, the amplitude of the power spectrum is dependent on the choice of c, i.e. the type of spacetime in the period of inflation. Also, the results are always valid for any asymptotic d S space-time and particularly coincide with the conventional results for d S and flat space-time.
