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On the Extended Lorentz Transformation Model and Its Application to Superluminal Neutrinos
Department of Physics, Lebanese University, Faculty of Sciences (I), Hadath, Beirut, Lebanon
- 1 Department of Physics, Lebanese University, Faculty of Sciences (I), Hadath, Beirut, Lebanon
Journal of Modern Physics·Volume 03 (2012)·Pages 1021–1026·Published 24 September 2012·DOI10.4236/jmp.2012.39134
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Abstract
In this paper, we consider the apparent superluminal speed of neutrinos in their travel from CERN to Gran Susso, as measured by the OPERA experiment, within the framework of the Extended Lorentz Transformation Model. The model is based on a natural extension of Lorentz transformation by wick rotation. Scalar and Dirac’s fields are considered and invariance under the new lorentz group is discussed. Moreover, an extension of quantum mechanics to accommodate new particles is considered using the newly proposed Generalized-C quantum mechanics. A two dimensional representation of the new Dirac’s equation is therefore formulated and its solution is calculated.
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