  We aspire to fufill Majorana's original goal of bringing full symmetry
between the charged and fundamentally neutral particles. We present a
description of fundamentally neutral particles without any reliance on Dirac
spinors. We show that the extended set Majorana spinors (a) describe a Wigner
class of fermions in which the charge conjugation and the parity operators
commute, rather than anticommute, and (b) support two type of dispersion
relations, the usual E= pm sqrt{p^2+m^2}, and a new E=- 2m \pm sqrt{p^2+m^2}.
The latter may be preferred over the former on minimization of energy
requirement and offers a natural source for observed matter-antimatter
asymmetry in the universe. The ensuing physical interpretation requires
existence of a preferred frame which may be identified with the cosmic neutrino
background.
