2013/12/28 by Gianluca Mandanici, Mandanici, Gianluca
Physics and Astronomy · #Classical Physics (physics.class-ph) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc #physics.class-ph
paper · pdf · doi:10.48550/arxiv.1401.1398
8 pages
arxiv created 2013/12/28 · arxiv updated 2014/01/16
A map is discussed that connects, in 1+1 dimensions, Galilei's relativity to Einstein's special relativity. By means of this map it is possible to derive special-relativistic formulas from the corresponding Galilean ones. Beyond being interesting on its own, this map is also significant with respect to a recent debate on the extension of relativistic symmetries to the Planck scale (especially in the framework of the so-called doubly special relativity). The map in fact provides an explicit example of how can be misleading to interpret a mathematical correspondence between two relativity schemes as an argument in favor of their physical equivalence.