Quantizing speeds with the cosmological constant

Abstract

Considering the Barrett-Crane spin foam model for quantum gravity with (positive) cosmological constant, we show that speeds must be quantized and we investigate the physical implications of this effect such as the emergence of an effective deformed Poincare symmetry.

4 pages, revtex4, 3 figures

References in corpus (5)

• Generalized Lorentz invariance with an invariant energy scale
• Spin Foam Models for Quantum Gravity
• SU(2) Loop Quantum Gravity seen from Covariant Theory
• Projected Spin Networks for Lorentz connection: Linking Spin Foams and Loop Gravity
• Cosmological Deformation of Lorentzian Spin Foam Models

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• Doubly Special Relativity with a minimum speed and the search for a quantum gravity at low energies
• Doubly Special Relativity with a minimum speed and the Uncertainty Principle
• An explanation for the tiny value of the cosmological constant and the low vacuum energy density
• Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity
• On the electrodynamics of moving particles in a quasi flat spacetime with Lorentz violation and its cosmological implications
• Infinities as a measure of our ignorance