Mass dimension one fermions: Constructing darkness

Let $\Theta$ be the Wigner time reversal operator for spin half and let $\phi$ a Weyl spinor. Then, left-transforming $\phi$, construct $\zeta_\lambda \Theta \phi^\ast$ yields right-transforming If instead, is spinor, then $\zeta _\rho results in spinor ($\zeta_{\lambda,\rho}$ are phase factors). This allows us to introduce two sets of four-component spinors. Setting $\zeta_\lambda$ $\zeta_\rho$ $\pm i$ render all eight spinors as eigenspinor charge conjugation operator~$\mathcal{C}$ (called ELKO). quantum fields. A calculation vacuum expectation value time-ordered product fields their adjoints reveals mass dimension one. Both local canonical sense field theory. Interestingly, one fermionic other bosonic. The introduced matter Standard Model carry an intrinsic mismatch. As such, they provide natural darkness new with respect doublets. statistics locality controlled by set phases. These explicitly given. Then we observe that $p_\mu p^\mu = m^2$, Dirac took simplest square root $4\times 4$ identity matrix $I$ (in $I \times m^2 $, while introducing $\gamma_\mu p^\mu$ left hand side dispersion relation), such he implicitly ignored remaining fifteen. When examine roots, obtain additional bosonic dark candidates half. We point out early nineteen seventies, had suspected existence bosons, same space his fermions. Abstract truncated.