DISPERSION RELATIONS IN FINITE-BOOST DSR
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Date
2020-10-10
Authors
Jafari, Nosratollah
Good, Michael R.R.
Journal Title
Journal ISSN
Volume Title
Publisher
Elsevier
Abstract
We find finite-boost transformations DSR theories in first order of the Planck length , by solving differential equations for the modified generators. We obtain corresponding dispersion relations for these transformations, which help us classify the DSR theories via four types. The final type of our classification has the same special relativistic dispersion relation but the transformations are not Lorentz. In DSR theories, the velocity of photons is generally different from the ordinary speed c and possess time delay, however in this new DSR light has the same special relativistic speed with no delay. A special case demonstrates that any search for quantum gravity effects in observations which gives a special relativistic dispersion relation is consistent with DSR.
Description
Keywords
DSR, Research Subject Categories::TECHNOLOGY, Research Subject Categories::NATURAL SCIENCES, quantum gravity, Research Subject Categories::NATURAL SCIENCES::Physics, Type of access: Open Access
Citation
Jafari, N., & Good, M. R. R. (2020). Dispersion relations in finite-boost DSR. Physics Letters B, 809, 135735. https://doi.org/10.1016/j.physletb.2020.135735