DSR-relativistic spacetime picture and the phenomenology of Planck-scale-modified time dilation

Abstract

The most active area of research in quantum-gravity phenomenology investigates the possibility of Planck-scale-modified dispersion relations, focusing mainly on two alternative scenarios: the "LIV" scenario, characterized by a specific mechanism of breakdown of relativistic symmetries, and the "DSR" scenario, which preserves overall relativistic invariance but with deformed laws of relativistic transformation. Two recent studies of modified dispersion relations, one relying on Finsler geometry and one based on heuristic reasoning, raised the possibility of potentially observable effects for time dilation and argued that this might apply also to the LIV and DSR scenarios. We observe that the description of Lorentz transformations in the LIV scenario is such that time dilation cannot be modified. The DSR scenario allows for modifications of time dilation, and establishing their magnitude required us to obtain novel results on the effects of finite DSR boosts in the spacetime sector, with results showing in particular that the modification of time dilation is too small for experimental testing.

V2 coincides with the one published in Physical Review D, vol. 112 106006. It includes a discussion on the generalization to other DSR models and two plots comparing the time dilation behaviour for the DSR, LIV, SR, and Finsler scenarios

References in corpus (13)

• Planck-scale modified dispersion relations and Finsler geometry
• Lorentz-violation-induced arrival delays of cosmological particles
• Realization of DSR-relativistic symmetries in Finsler geometries
• Speed of particles and a relativity of locality in $\kappa$-Minkowski quantum spacetime
• Relativistic kinematics beyond Special Relativity
• Reaching the Planck scale with muon lifetime measurements
• Deformed relativity symmetries and the local structure of spacetime
• Doubly Special Relativity and Finsler geometry
• Exploring Special Relative Locality with deSitter momentum-space
• Planck-scale-deformed relativistic symmetries and diffeomorphisms in momentum space
• Relativistic compatibility of the interacting $\kappa$-Poincaré model and implications for the relative locality framework
• Dispersion relations in finite-boost DSR
• Modified particle lifetimes as a signature of deformed relativity