Dimensional reduction in the sky

Amelino‐Camelia, Giovanni; Arzano, Michele; Gubitosi, Giulia; Magueijo, João

doi:10.1103/physrevd.87.123532

Cited by 130 publications

(247 citation statements)

References 47 publications

(80 reference statements)

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“…They in fact describe effects that are quite generically expected in quantum gravity research [3,4] (and in particular have been explicitly shown to characterize 3D quantum gravity [5,6]) without introducing preferred frames and so evading the strong constraints on Lorentz invariance violations. Modified dispersion relations could produce observable phenomenology in the context of astrophysics [7][8][9][10][11] and there is also increasing evidence that they could be relevant in the early Universe [12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%

Kinematics of particles with quantum-de Sitter-inspired symmetries

Barcaroli¹,

Gubitosi

2016

Phys. Rev. D

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We present the first detailed study of the kinematics of free relativistic particles whose symmetries are compatible with the ones described by a quantum deformation of the de Sitter algebra, known as q-de Sitter Hopf algebra. In such algebra, the quantum deformation parameter is a function of the Planck length l and the de Sitter radius H −1 , such that when the Planck length vanishes, the algebra reduces to the de Sitter algebra, while when the de Sitter radius is sent to infinity, one recovers the κ-Poincaré Hopf algebra. In the first limit, the picture is that of a particle with trivial momentum space geometry moving on de Sitter spacetime; in the second one, the picture is that of a particle with de Sitter momentum space geometry moving on Minkowski spacetime. When both the Planck length and the inverse of the de Sitter radius are nonzero, effects due to spacetime curvature and nontrivial momentum space geometry are both present and affect each other. The particles' motion is then described in a full phase-space picture. We find that redshift effects that are usually associated with spacetime curvature become energy dependent. Also, the energy dependence of the particles' travel times that is usually associated with momentum space nontrivial properties is modified in a curvature-dependent way.

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Section: Introductionmentioning

confidence: 99%

Kinematics of particles with quantum-de Sitter-inspired symmetries

Barcaroli¹,

Gubitosi

2016

Phys. Rev. D

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“…It is worth noticing that the method of introducing the effects of dimensional reduction applied here differs from the one considered in Ref. 8. In that reference, modified dispersion relation has been introduced at the level of timedependent speed of propagation.…”

Section: ∂ω(P) ∂Pmentioning

confidence: 99%

Phenomenology of causal dynamical triangulations

Mielczarek¹

2017

The Fourteenth Marcel Grossmann Meeting

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The four dimensional Causal Dynamical Triangulations (CDT) approach to quantum gravity is already more than ten years old theory with numerous unprecedented predictions such as non-trivial phase structure of gravitational field and dimensional running. Here, we discuss possible empirical consequences of CDT derived based on the two features of the approach mentioned above. A possibility of using both astrophysical and cosmological observations to test CDT is discussed. We show that scenarios which can be ruled out at the empirical level exist.

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“…Therefore, we can immediately conclude that this universe is singular. c It is intriguing to observe that the UV value of the equation of state parameter matches the one of a radiation fluid in two spacetime dimensions, which is also the value of the UV spectral dimension that can be deduced from the dispersion relation (11) 10 . …”

Section: First Examplementioning

confidence: 99%

Singularity avoidance in rainbow cosmology

Santos¹,

Amelino‐Camelia²,

Gubitosi³

2017

The Fourteenth Marcel Grossmann Meeting

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It has been recently claimed that the initial singularity might be avoided in the context of rainbow cosmology, where one attempts to account for quantum-gravitational corrections through an effective-theory description based on an energy-dependent ("rainbow") space-time metric. We analyse this picture in detail in an attempt to present a more rigorous description of the problem. In particular, we show that the implications of a rainbow metric for thermodynamics are more significant than previously appreciated. We show two particularly meaningful examples where the singularity is not avoided suggesting that, although the rainbow-metric scenario provides tantalizing hints of singularity avoidance, it is inconclusive since some key questions remain to be addressed just when the scale factor is very small, a regime which, as here argued, cannot be reliably described by an effective rainbow-metric picture.

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Dimensional reduction in the sky

Cited by 130 publications

References 47 publications

Kinematics of particles with quantum-de Sitter-inspired symmetries

Kinematics of particles with quantum-de Sitter-inspired symmetries

Phenomenology of causal dynamical triangulations

Singularity avoidance in rainbow cosmology

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