Doubly-Special Relativity is a new theory of special relativity first postulated in a paper by Giovanni Amelino-Camelia. In this theory, he postulates that in addition to the speed of light, a characteristic energy scale based on the Planck scale should remain invariant under relativistic transformations. There exist proposals that this theory may be related to loop quantum gravity.
One of the motivations for this work is the observation of high-energy cosmic rays that appear to violate the Greisen-Zatsepin-Kuzmin limit: the so-called GZK paradox.
Annotation for non-physicist readers: The theory is highly speculative as of first publishing in 2002. The author is respected by many and publishes in established journals, both on this and on related matters. The theory is built using a well-established approach in theoretical physics named invariance under transformation, which is colloquially (even in science) called relativistic. Nevertheless the theory is not considered a promising approach by a majority of members of the high-energy physics community.
External references
Giovanni Amelino-Camelia, "Doubly-Special Relativity: First Results and Key Open Problems." Int. J. Mod. Phys. D11 (2002) 1643. Online copy at http://arxiv.org/abs/gr-qc/0210063
Giovanni Amelino-Camelia, Doubly-Special Relativity.' http://lanl.arxiv.org/abs/gr-qc/0207049, a non-technical review
Doubly-special relativity, also deformed specialrelativity, is a new theory of specialrelativity first postulated in a paper by Giovanni Amelino-Camelia, though is at least implicit in a paper of Paul Merriam.
An alternate doubly-special relativity theory, inspired by that of Amelino-Camelia, was proposed later by João Magueijo and Lee Smolin.
Therefore supporters of doubly-special relativity may claim that while it is equivalent to ordinary relativity, the momentum and energy coordinates of doubly-special relativity are those that appear in the usual form of the standard model interactions.
Specialrelativity overthrows Newtonian notions of absolute space and time by stating that distance and time depend on the observer, and that time and space are perceived differently, depending on the observer.
Specialrelativity is mathematically self-consistent, and it is an organic part of all modern physical theories, most notably quantum field theory, string theory, and general relativity (in the limiting case of negligible gravitational fields).
Relativity in its Historical Context The discovery of specialrelativity was inevitable, given the momentous discoveries that preceded it.