2000/06/30 by J. Kowalski-Glikman, Jerzy Kowalski-Glikman · 74 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Black Holes and Theoretical Physics #Dispersion (optics) #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Poincaré conjecture #Pure mathematics #Quantum #Quantum mechanics #Theoretical physics #astro-ph #hep-th
paper · pdf · doi:10.1016/s0370-2693(01)00027-2
published in Physics Letters B 499(1-2), 1-8 (Elsevier BV) · revised version to be published in Phys. Lett. B
arxiv created 2000/11/13 · openalex publication_date 2001/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
Following the procedure proposed recently by Martin and Brandenberger we investigate the spectrum of the cosmological perturbations in the case when the ``trans-Plackian'' dispersion relations are motivated by the quantum κ-Poincaré algebra. We find that depending on the choice of initial conditions of the perturbations, the spectrum either differs from the flat one for for instantaneous Minkowski vacuum or, in the case of initial conditions minimizing energy density, leads to the observed scale-invariant Harrison-Zel'dovich spectrum in the Friedmann epoch.