{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,1]],"date-time":"2026-06-01T23:53:17Z","timestamp":1780357997636,"version":"3.54.1"},"reference-count":110,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2010,3,8]],"date-time":"2010-03-08T00:00:00Z","timestamp":1268006400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>I report, emphasizing some key open issues and some aspects that are particularly relevant for phenomenology, on the status of the development of \u201cdoubly-special\u201d relativistic (\u201cDSR\u201d) theories with both an observer-independent high-velocity scale and an observer-independent small-length\/large-momentum scale, possibly relevant for the Planck-scale\/quantum-gravity realm. I also give a true\/false characterization of the structure of these theories. In particular, I discuss a DSR scenario without modification of the energy-momentum dispersion relation and without the \u049b-Poincar\u00e9 Hopf algebra, a scenario with deformed Poincar\u00e9 symmetries which is not a DSR scenario, some scenarios with both an invariant length scale and an invariant velocity scale which are not DSR scenarios, and a DSR scenario in which it is easy to verify that some observable relativistic (but non-special-relativistic) features are insensitive to possible nonlinear redefinitions of symmetry generators.<\/jats:p>","DOI":"10.3390\/sym2010230","type":"journal-article","created":{"date-parts":[[2010,3,8]],"date-time":"2010-03-08T11:22:08Z","timestamp":1268047328000},"page":"230-271","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":197,"title":["Doubly-Special Relativity: Facts, Myths and Some Key Open Issues"],"prefix":"10.3390","volume":"2","author":[{"given":"Giovanni","family":"Amelino-Camelia","sequence":"first","affiliation":[{"name":"Dipartimento di Fisica, Universit\u00e0 di Roma \u201cLa Sapienza\u201d and Sez. Roma1 INFN, P.le A. Moro 2, 00185 Roma, Italy"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2010,3,8]]},"reference":[{"key":"ref_1","first-page":"35","article-title":"Relativity in space-times with short-distance structure governed by an observer-independent (Planckian) length scale","volume":"D11","year":"2002","journal-title":"Int. J. Mod. Phys."},{"key":"ref_2","first-page":"255","article-title":"Testable scenario for Relativity with minimum length","volume":"B510","year":"2001","journal-title":"Phys. Lett."},{"key":"ref_3","first-page":"391","article-title":"Observer independent quantum of mass","volume":"A286","year":"2001","journal-title":"Phys. Lett."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"133","DOI":"10.1016\/S0370-2693(01)01264-3","article-title":"Deformed boost transformations that saturate at the Planck scale","volume":"B522","author":"Bruno","year":"2001","journal-title":"Phys. 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