# Trans-Planckian problem of inflationary cosmology

@article{Martin2001TransPlanckianPO, title={Trans-Planckian problem of inflationary cosmology}, author={J{\'e}r{\^o}me Martin and R. Brandenberger}, journal={Physical Review D}, year={2001}, volume={63}, pages={123501-123517} }

In most current models of inflation based on a weakly self-coupled scalar matter field minimally coupled to gravity, the period of inflation lasts so long that, at the beginning of the inflationary period, the physical wavelengths of comoving scales which correspond to the present large-scale structure of the Universe were smaller than the Planck length. Thus, the usual computations of the spectrum of fluctuations in these models involve extrapolating low-energy physics (both in the matter and… Expand

#### 534 Citations

Trans-Planckian Physics and Inflationary Cosmology

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- 2002

Due to the quasi-exponential red-shifting which occurs during an inflationary period in the very early Universe, wavelengths which at the present time correspond to cosmological lengths are in… Expand

Trans-Planckian problem in the healthy extension of Horava-Lifshitz gravity

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- 2012

Planck scale physics may influence the evolution of cosmological fluctuations in the early stages of cosmological evolution. Because of the quasi-exponential redshifting, which occurs during an… Expand

Is there an imprint of Planck-scale physics on inflationary cosmology?

- Physics
- 2003

We study the effects of the trans-Planckian dispersion relation on the spectrum of the primordial density perturbations during inflation. In contrast to the earlier analyses, we do not assume any… Expand

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

- Physics
- 2003

Abstract There are good indications that fundamental physics gives rise to a modified space–momentum uncertainty relation that implies the existence of a minimum length scale. We implement this idea… Expand

The Trans-Planckian Problem for Inflationary Cosmology Revisited

- Physics
- 2009

We consider an inflationary universe model in which the phase of accelerated expansion was preceded by a non-singular bounce and a period of contraction which involves a phase of deceleration. We… Expand

Trans-Planckian Effects on Scalar Field in Conformal Inflation

- Physics
- 2017

The possible effects of trans-Planckian physics on the scalar field in conformal inflation are investigated in the lattice Schrödinger picture. For the massless conformally coupled scalar field… Expand

Cosmological perturbations without inflation

- Physics
- 2017

A particularly attractive feature of inflation is that quantum fluctuations in the inflaton field may have seeded inhomogeneities in the cosmic microwave background (CMB) and the formation of… Expand

Statistical anisotropy in the inflationary universe

- Physics
- 2009

During cosmological inflation, quasiclassical perturbations are permanently generated on super-Hubble spatial scales, their power spectrum being determined by the fundamental principles of quantum… Expand

Gauge-invariant perturbation theory for trans-Planckian inflation

- Physics
- 2005

The possibility that the scale-invariant inflationary spectrum may be modified due to the hidden assumptions about the Planck scale physics--dubbed as trans-Planckian inflation--has received… Expand

Trans-Planckian Issues for Inflationary Cosmology

- Physics
- 2013

The accelerated expansion of space during the cosmological inflation period leads to trans-Planckian issues which need to be addressed. Most importantly, the physical wavelength of fluctuations which… Expand