This communication is a natural and nontrivial continuation of the 2005 work
of Ahluwalia and Grumiller on Elko. Here we report that Elko breaks Lorentz
symmetry in a rather subtle and unexpected way by containing a `hidden'
preferred direction. Along this preferred direction, a quantum field based on
Elko enjoys locality. In the form reported here, Elko offers a mass dimension
one fermionic dark matter with a quartic self-interaction and a preferred axis
of locality. The locality result crucially depends on a judicious choice of
phases.Comment: 14 pages (RevTex
We here provide further details on the construction and properties of mass
dimension one quantum fields based on Elko expansion coefficients. We show that
by a judicious choice of phases, the locality structure can be dramatically
improved. In the process we construct a fermionic dark matter candidate which
carries not only an unsuppressed quartic self interaction but also a preferred
axis. Both of these aspects are tentatively supported by the data on dark
matter.Comment: Published versio
We argue that quantum gravity theories that carry a Lie-algebraic modification of the Poincaré and Heisenberg algebras inevitably provide inhomogeneities that may serve as seeds for cosmological structure formation. Furthermore, in this class of theories one must expect a strong polarization and spin dependence of various quantum gravity effects.
Following the unexpected theoretical discovery of a mass dimension one fermionic quantum field of spin one half, we now present first results on two local versions. The Dirac and Majorana fields of the standard model of particle physics are supplemented by their natural counterparts in the dark matter sector. The possibility that a mass dimension transmuting symmetry may underlie a new standard model of particle physics is briefly suggested.
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