2015/12/10 by Giulia Gubitosi, João Magueijo, Joao Magueijo · 6 citations
Physics and Astronomy · #Bispectrum #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Doubly special relativity #Four-force #General relativity #Invariant (physics) #Lorentz covariance #Lorentz transformation #Mathematical physics #Measure (data warehouse) #Noncommutative and Quantum Gravity Theories #One-way speed of light #Physics #Quantum #Quantum fluctuation #Quantum mechanics #Scale invariance #Spacetime #Spectral density #Test theories of special relativity #Theoretical physics #gr-qc
paper · pdf · doi:10.1088/0264-9381/33/11/115021
published in Classical and Quantum Gravity 33(11), 115021 (IOP Publishing)
arxiv created 2015/12/10 · openalex publication_date 2016/05/11 · arxiv updated 2016/05/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We revisit one of the earliest proposals for deformed dispersion relations in the light of recent results on dynamical dimensional reduction and production of cosmological fluctuations. Depending on the specification of the measure of integration and the addition rule in momentum space the model may be completed so as to merely deform Lorentz invariance, or so as to introduce a preferred frame. Models which violate Lorentz invariance have a negative UV asymptotic dimension and a very red spectrum of quantum vacuum fluctuations. Instead, models which preserve frame independence can exhibit running to a UV dimension of two, and a scale-invariant spectrum of fluctuations. The bispectrum of the fluctuations is another point of divergence between the two casings proposed here for the original model.