Abstract
It is plausible that quantum gravity effects may lead us to a description of Nature beyond the framework of special relativity. In this case, either the relativity principle is broken or it is maintained. These two scenarios (a violation or a deformation of special relativity) are very different, both conceptually and phenomenologically. We discuss some of their implications on the description of events for different observers and the notion of spacetime.
Highlights
Note that in the general case, the implementation of locality is compatible with an independent choice for a one-particle noncommutative spacetime and a modified composition law (MCL), while these two ingredients are related in the previous example
The phenomenology beyond special relativity (SR) is very different in the cases of absence of a relativity principle (LIV) and presence of a relativity principle (DSR)
The phenomenological analysis of time of flight is different for the Lorentz invariance violation (LIV) and DSR cases
Summary
Poincaré invariance is at the root of our modern theories of particle physics It is the symmetry of the classical spacetime of special relativity (SR), which is one of their basic ingredients. Effects coming from a quantum theory of gravity (such as the creation and evaporation of virtual black holes [2]) are expected to modify the classical spacetime picture, and, its symmetries In this case, Poincaré invariance would be an approximate symmetry of spacetime in the low-energy limit. (Note that it is possible to consider LIV with a MCL, which goes beyond the EFT framework In such a case, the MDR and the MCL would not be related by the compatibility relationship that the relativity principle establishes in DSR theories.)
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