A comment on the paper"Deformed Boost Transformations that saturate at the Planck Scale"by N.B.Bruno,G.Amelino-Camelia, and J.Kowalski-Glikman
By N.B.Bruno, G.Amelino-Camelia, J.Kowalski-Glikman, Alex Granik. 2001
192 citations recorded by the source corpus.
An alternative (simplified) derivation of the dispersion relation and the expressions for the momentum-energy 4-vector $p_i,p_0$ given initially in [1] is provided. It has turned out that in a rather"pedestrian"manner one can obtain in one stroke not only the above relations but also the correct dispersion relation in $\omega-k_i$ space, consistent with the value of a velocity of a massless particle. This is achieved by considering the standard Lorentz algebra for $\omega-k_i$-space. A non-uniqueness of the choice of the time-derivative in the presence of the finite length scale is discussed. It is shown that such non-uniqueness does not affect the dispersion relation in $\omega-k_i$-space. albeit results in different dispersion relations in $p-p_0$-space depending on the choice of the definition of the time derivative.
View Paper: https://www.semanticscholar.org/paper/7eb91d6c676be327feb07fc310af67efeda67122
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Citations in the corpus
- Quantum-Spacetime Phenomenology (2008, methodology): “[58, 55, 349, 140, 386, 387, 354, 388, 352, 353, 350, 26, 200, 493, 465, 291, 314, 366] and references therein), but for the purposes of this review I shall limit my consideration of DSR ideas on phenomenology to a single one of the (many) relevant issues, which is an observation that concerns the c”
- Doubly special relativity and de Sitter space (2003, unknown): “Doubly Special Relativity was initially formulated [2], [3], [11], [12] as a theory of nonlinear realization of the Lorentz symmetry on the energy-momentum space.”
- Minimal Length Scale Scenarios for Quantum Gravity (2012, background): “Another example that has entered the literature under the name DSR1 [71] makes use of the bicrossproduct basis (209).”