So, while billions and billions of snow particles were being moved (by me) in space, over a fair amount of time, I was thinking about Doubly Special Relativity. The link that FrenchX gave has a pretty nice write up, with lots of follow on links to the key concepts.***Here is an extract from the DSR Wiki link:"A different model, inspired by that of Amelino-Camelia, was proposed later by João Magueijo and Lee Smolin. It was quickly realized that there are indeed infinitely many deformations of special relativity that allow to achieve an invariance of the Planck energy, either as a maximum energy, as a maximal momentum, or both. It has been shown that theories are related to loop quantum gravity in 2+1 dimensions (two space, one time), and it has been conjectured that a relation also exists in 3+1 dimensions.The motivation to these proposals is mainly theoretical, based on the following observation: The Planck energy is expected to play a fundamental role in a theory of quantum gravity, setting the scale at which quantum gravity effects cannot be neglected and new phenomena might become important. If Special Relativity is to hold up exactly to this scale, different observers would observe quantum gravity effects at different scales, due to the Lorentz-FitzGerald contraction, in contradiction to the principle that all inertial observers should be able to describe phenomena by the same physical laws. This motivation has been criticized on the grounds that the result of a Lorentz-transformation does not itself constitute an observable.There is still no experimental evidence of any departure from special relativity, but rather this is highly constrained. It has been suggested that the observation of high-energy cosmic rays that appeared to violate the Greisen-Zatsepin-Kuzmin limit: the so-called Oh-My-God particles were an indication of the failure of special relativity at this energy scale. After experimental evidence shifted towards confirming the GZK limit where it is expected from the standard theory, proponents of DSR dropped the original prediction and now claim that such a modification of the GZK limit is *not* to be expected in DSR. The remaining prediction is now time delays in the arrival time of highly energetic photons from gamma ray bursts.The model suffers from several inconsistencies in formulation have yet to be resolved. Most notably it is difficult to recover the standard transformation behavior for macroscopic bodies, known as the soccer-ball-problem. The other conceptual difficulty is that DSR is a priori formulated in momentum space. There is yet no consistent formulation of the model in position space." and this is a good follow-on: Doubly-Special Relativity: Facts, Myths and Some Key Open IssuesGiovanni Amelino-Camelia Dipartimento di Fisica, Università di Roma ?La Sapienza? and Sez. Roma1 INFN, P.le A. Moro 2, 00185 Roma, Italy Received: 26 January 2010 / Accepted: 3 March 2010 / Published: 8 March 2010in Symmetry 2010, 2(1), 230-271; doi:10.3390/sym2010230
Last edited by trackstar
on January 31st, 2011, 11:00 pm, edited 1 time in total.