An extended Dirac equation in noncommutative space-time

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.

9 pages Latex

References in corpus (1)

• The deformation-stability fundamental length and deviations from c

Cited by in corpus (2)

• Space-time: Commutative or noncommutative ?
• The geometry of noncommutative space-time