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S. Hamieh and H. Abbas, “Two Dimensional Representation of the Dirac Equation in Non Associative Algebra,” arXiv:1104.3416, 2011.

has been cited by the following article:

• TITLE: On the Extended Lorentz Transformation Model and Its Application to Superluminal Neutrinos

  AUTHORS: Salah D. Hamieh

  KEYWORDS: Natural Asset; Financial Value; Neural Network

  JOURNAL NAME: Journal of Modern Physics, Vol.3 No.9, September 25, 2012

  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.