Testing Dispersion Relations of Quantum $\kappa$-Poincaré Algebra on Cosmological Ground

Abstract

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 $\kappa$-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.

revised version to be published in Phys. Lett. B

References in corpus (1)

• The quantum structure of spacetime at the Planck scale and quantum fields

Cited by in corpus (57)

• Analogue Gravity
• The Trans-Planckian Problem of Inflationary Cosmology
• Deformed Boost Transformations That Saturate at the Planck Scale
• Perturbation spectrum in inflation with cutoff
• Trans-Planckian dispersion and scale-invariance of inflationary perturbations
• Robustness of the inflationary perturbation spectrum to trans-Planckian physics
• De Sitter space as an arena for Doubly Special Relativity
• Relic Dark energy from Trans-Planckian Regime
• On Signatures of Short Distance Physics in the Cosmic Microwave Background
• Cosmological perturbations and short distance physics from Noncommutative Geometry
• Some Consequences of the Generalised Uncertainty Principle: Statistical Mechanical, Cosmological, and Varying Speed of Light
• Trans-Planckian Effects in Inflationary Cosmology and the Modified Uncertainty Principle
• Inflationary Cosmology as a Probe of Primordial Quantum Mechanics
• The stress-energy tensor for trans-Planckian cosmology
• The Corley-Jacobson dispersion relation and trans-Planckian inflation
• Constraining the energy-momentum dispersion relation with Planck-scale sensitivity using cold atoms
• Is there an imprint of Planck scale physics on inflationary cosmology?
• Minimum Length Cutoff in Inflation and Uniqueness of the Action
• Hopf-algebra description of noncommutative-spacetime symmetries
• Initial state of matter fields and trans-Planckian physics: Can CMB observations disentangle the two?
• Trans-Planckian Particle Creation in Cosmology and Ultra-High Energy Cosmic Rays
• Modified Dispersion Relations from Closed Strings in Toroidal Cosmology
• Trans-Planckian Physics and the Spectrum of Fluctuations in a Bouncing Universe
• Trans-Planckian footprints in inflationary cosmology
• Theoretical tools for CMB physics
• On the Tensor/Scalar Ratio in Inflation with UV Cutoff
• Casimir Effect confronts Cosmological Constant
• Scalar field cosmology modified by the Generalized Uncertainty Principle
• Vacuum Energy, the Cosmological Constant and Compact Extra Dimensions: Constraints from Casimir Effect Experiments
• Probing the quantum-gravity realm with slow atoms
• Interplay between curvature and Planck-scale effects in astrophysics and cosmology
• Trans-Planckian corrections to the primordial spectrum in the infra-red and the ultra-violet
• Planck-scale relativity from quantum $\kappa$-Poincaré algebra
• Mechanism for the suppression of quantum noise at large scales on expanding space
• Trapped Bose-Einstein condensates with Planck-scale induced deformation of the energy-momentum dispersion relation
• Superluminal dispersion relations and the Unruh effect
• Planck-scale effects on Bose-Einstein condensates
• Equation of State of the Transplanckian Dark Energy and the Coincidence Problem
• UV and IR quantum-spacetime effects for the Chandrasekhar model
• Inflationary gravitational waves in the effective field theory of modified gravity
• A momentum-space representation of Green's functions with modified dispersion on ultra-static space-time
• A momentum-space representation of Green's functions with modified dispersion relations on general backgrounds
• Kappa - Poincare dispersion relations and the black hole radiation
• Erratum: Statistical anisotropy in the inflationary universe
• Dynamics of Quintessence in Generalized Uncertainty Principle
• Planck-Scale Traces from the Interference Pattern of two Bose-Einstein Condensates
• Density fluctuations in $\kappa$-deformed inflationary universe
• Trans-Planckian Physics from a Nonlinear Dispersion Relation
• The Anapole Moment of the Deuteron with the Argonne v18 Nucleon-Nucleon Interaction Model
• Non-universal relativistic kinematics
• Modified dispersion relations, inflation and scale invariance
• Testing energy non-additivity in white dwarfs
• Wave Propagation and IR/UV Mixing in Noncommutative Spacetimes
• Polymer quantization in the Bogoliubov's regime for a homogeneous one-dimensional Bose-Einstein condensate
• From quantum deformations of relativistic symmetries to modified kinematics and dynamics
• 5D Differential Calculus and Noether Analysis of Translation Symmetries in kappa-Minkowski Noncommutative Spacetime
• Constraining the deformed dispersion relation with the hydrogen atom 1S-2S transition