A Projective Interpretation of Some Doubly Special Relativity Theories

Abstract

A class of projective actions of the orthogonal group on the projective space is being studied. It is shown that the Fock--Lorentz, and Magueijo--Smolin transformations known as Doubly Special Relativity are such transformations. The formalism easily lead to new type transformations.

References in corpus (4)

• Doubly Special Relativity and Finsler geometry
• Doubly-Special Relativity: Facts, Myths and Some Key Open Issues
• Doubly Special Relativity: A New Relativity or Not?
• Five-Dimensional Mechanics as the Starting Point for the Magueijo-Smolin Doubly Special Relativity

Cited by in corpus (4)

• Dispersion relations in finite-boost DSR
• Variational problem for Hamiltonian system on so(k, m) Lie-Poisson manifold and dynamics of semiclassical spin
• Thermal properties of Klein-Gordon Oscillator in the Context of Amelino-Camelia and Magueijo-Smolin Doubly Special Relativity (DSR) frameworks
• Is there a map between Galilean relativity and special relativity?