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arXiv · 1502.00322

An extended Dirac equation in noncommutative space-time

R. Vilela Mendes
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Abstract

Stabilizing, by deformation, the algebra of relativistic quantum mechanics a non-commutative space-time geometry is obtained. The exterior algebra of this geometry leads to an extended massless Dirac equation which has both a massless and a large mass solution. The nature of the solutions is discussed, as well as the effects of coupling the two solutions.

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R. Vilela Mendes. 2015-02-01. An extended Dirac equation in noncommutative space-time. https://doi.org/10.1142/s0217732316500899

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