On the invariance of the relative rest in doubly special relativityReport as inadecuate



 On the invariance of the relative rest in doubly special relativity


On the invariance of the relative rest in doubly special relativity - Download this document for free, or read online. Document in PDF available to download.

Download or read this book online for free in PDF: On the invariance of the relative rest in doubly special relativity
In the framework of the most-studied doubly special relativity models the use of the naive formula $v=dE-dp$ has been argued to lead to inconsistencies connected to different rules of transformation, under boosts, of particles with the same energy but with different masses. In this paper we show that, at least in 1+1 dimensions, doubly special relativity can be formulated in such a way that the formula $v=dE-dp$ is fully consistent with the invariance of the relative rest, easily fitting to the relativity principle. It is also argued that, always in 1+1d, is not necessary to renounce to the usual commutative Minkowski space-time endowed with energy-independent boost transformations. The compatibility of the approach with superluminal propagation, with linear addition rule for energy, and possible extensions to 3+1 dimensions are also discussed.



Author: Gianluca Mandanici

Source: https://archive.org/







Related documents