10–13 Mar 2020
University of Granada
Europe/Madrid timezone

Homogeneously Modified Special Relativity - a way to introduce LIV preserving isotropy

10 Mar 2020, 17:30
30m
Sala ENIAC, Edificio Mecenas, Faculty of Science (University of Granada)

Sala ENIAC, Edificio Mecenas, Faculty of Science

University of Granada

Facultad de Ciencias - Campus Fuentenueva C/ Profesor Adolfo Rancaño 18003 Granada

Speaker

Dr Marco Danilo Claudio Torri (INFN Milano)

Description

Lorentz Invariance (LI) is nowadays at the root of our understanding of nature. Even if there is no definitive evidence to sustain departures from LI, there are consistent points indicating that Lorentz Invariance Violation (LIV) can be a consequence of quantum gravity. In this talk we will focus our attention on a new theoretical model HMSR (Homogeneously Modified Special Relativity), developed by the Milano research group (Eur.Phys.J. C79 (2019) no.9, 808), that attempts to reconcile these different approaches to LIV studies. The new model is characterized by its peculiar geometrical approach that allows the preservation of the isotropy with respect to rotations and boosts. This model indeed introduces a pseudo-Finsler geometric structure of momentum space via kinematical modifications in the dispersion relations. Every massive particle is supposed to generate its own personal space-time and has its own metric, with a personal maximum attainable velocity. All the physical quantities are therefore generalized, acquiring an explicit dependence on the momentum. Moreover every particle lives in a modified curved personal space-time, therefore it is necessary to introduce a new mathematical formalism to conduct computations between physical quantities related to different interacting particles. It is possible to construct a generalized tetrad that presents an explicit dependence on the particle momentum. The elements of the tetrad can be used as projectors from the local curved space to a common support Minkowski space-time. The possibility to construct a modified form of the Lorentz group is an original feature of this model and this means that HMSR preserves covariance even if in an amended formulation. Moreover the curved momentum space introduces a deformation of the composition rule of momenta, as in DSR theories. Finally HMSR introduces a Standard Model extension that preserves isotropy, is CPT even and presents possible interesting phenomenological applications. These applications range from ultra high energy cosmic rays propagation and GZK cut-off (JHEAp 18 (2018) 5-14) to neutrino oscillations (Eur.Phys.J. C78 (2018) no.8, 667).

Presentation materials