Investigations of the possibility that some novel ``quantum" properties of spacetime might induce a modification dispersion relation focused at first on scenarios with Planckscale violations of Lorentz symmetry. More recently several studies have considered the possibility of a ``doubly special relativity", in which the modification of the dispersion relation emerges from a framework with both the Planck scale and the speedoflight scale as characteristic scales of a deformation of the Lorentz transformations. For the schemes with broken Lorentz symmetry at the Planck scale there is a large literature on the derivation of experimental limits. We provide here a corresponding analysis for the doublyspecialrelativity framework. We find that the analyses of photon stability, synchrotron radiation, and threshold conditions for particle production in collision processes, the three contexts which are considered as most promising for constraining the brokenLorentzsymmetry scenario, cannot provide significant constraints on doublyspecialrelativity parameter space. However, certain types of analyses of gammaray bursts are sensitive to the symmetry deformation. A key element of our study is an observation that removes a possible sign ambiguity for the doublyspecialrelativity framework. This result also allows us to characterize more sharply the differences between the doublyspecialrelativity framework and the framework of kPoincare Hopf algebras, two frameworks which are often confused with each other in the literature.
