Particle-antiparticle duality from an extra timelike dimension
MARCOS R. A. ARCODÍA; MAURICIO BELLINI
EUROPEAN PHYSICAL JOURNAL C - PARTICLES AND FIELDS
Lugar: Berlin; Año: 2019 vol. 79 p. 796 - 796
It is a well known fact that the usual complex structure on the real CliffordAlgebra (CA) of Minkowski spacetime can be obtained by adding an extra time-like dimension, instead of the usual complexication of the algebra. In this article we explore the consequences of this approach and reinterpret known results in this new context. We observe that particles and antiparticles at rest can be interpreted as eigenstates of the generator of rotations in the plane formed by the two time-like coordinates. We also nd an effective nite scale for the extra dimension when no EM elds are present, whithout postulating compacity. In the case of non-vanishing EM elds, we nd a gauge condition to preserve such a scale.