2001/01/31 by J. C. Niemeyer, Renaud Parentani, R. Parentani · 10 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Dispersion (optics) #Dispersion relation #Galaxies: Formation, Evolution, Phenomena #Horizon #Inflation (cosmology) #Mathematics #Nonlinear system #Physics #Planck #Planck energy #Planck scale #Quantum #Quantum electrodynamics #Quantum gravity #Quantum mechanics #Scale (ratio) #Scale invariance #Spectral density #Statistical physics #Theoretical physics #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.64.101301
published as Phys.Rev. D64 (2001) 101301 · 4 pages; v.2: minor modifications, added references
arxiv created 2001/02/02 · openalex publication_date 2001/10/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We question the insensitivity of the predictions of inflationary models with respect to modifications of Planck energy physics. The modification we consider consists in replacing the usual dispersion relation by nonlinear ones. This way of addressing the problem has recently received attention and contradictory results were found. Our main result is to show that the adiabaticity of the mode propagation and the separation of two scales of interest, the Planck scale and the cosmological horizon scale, are sufficient conditions for the predictions to be unchanged. We then show that almost all models satisfy the first condition when the second is met. Therefore the introduction of a nonlinear dispersion is unlikely to have any discernable effects on the power spectrum of cosmological perturbations.