An Identification of the Dirac Operator with the Parity Operator

Abstract

We provide a new derivation of the Dirac equation which promptly generalizes to higher spins. We apply this idea to spin-half Elko dark matter.

8 pages

References in corpus (8)

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• The Einstein-Cartan-Elko system
• The Einstein-Elko system -- Can dark matter drive inflation?
• Exotic Dark Spinor Fields
• Very special relativity as relativity of dark matter: the Elko connection
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• On a local mass dimension one Fermi field of spin one-half and the theoretical crevice that allows it

Cited by in corpus (39)

• The theory of local mass dimension one fermions of spin one half
• VSR symmetries in the DKP algebra: the interplay between Dirac and Elko spinor fields
• Evading Weinberg's no-go theorem to construct mass dimension one fermions: Constructing darkness
• On the bilinear covariants associated to mass dimension one spinors
• Mass dimension one fermions: Constructing darkness
• Elko and mass dimension one field of spin one half: causality and Fermi statistics
• A framework to a mass dimension one fermionic sigma model
• Mass dimension one fields with Wigner degeneracy: A theory of dark matter
• On a local mass dimension one Fermi field of spin one-half and the theoretical crevice that allows it
• Spin-half bosons with mass dimension three half: towards a resolution of the cosmological constant problem
• The connection between Dirac dynamic and parity symmetry
• Constraints on mapping the Lounesto's Classes
• Fermionic dark matter-photon quantum interaction: A mechanism for darkness
• Regular spinors and fermionic fields
• Spin-half mass dimension one fermions and their higher-spin generalizations
• Massive spin one-half one particle states for the mass dimension one fermions
• Non-standard Dirac adjoint spinor: The emergence of a new dual
• Symmetries and unitary interactions of mass dimension one fermionic dark matter
• On Wigner Degeneracy in Elko theory: Hermiticity and Dark Matter
• Spinorial discrete symmetries and adjoint structures
• Mass dimension one fermions and their gravitational interaction
• Some Remarks on dual helicity flag-dipole spinors
• Revisiting Takahashi's inversion theorem in discrete symmetry-based dual frameworks
• Sensitivity of accelerator-based neutrino experiments to neutrino-dark matter interaction: Elko as a viable dark matter candidate
• Flag-dipole spinors: On the dual structure derivation and $\mathcal{C}$, $\mathcal{P}$ and $\mathcal{T}$ symmetries
• An alternative approach concerning Elko spinors and the hidden unitarity
• Symmetries of Elko and massive vector fields
• Elko and Mass Dimension One Fermions: Editorial
• Singular spinors as expansion coefficients of local spin-half fermionic and bosonic fields: On the two-fold Wigner degeneracy
• Spinor Adjoints, Gauge Invariance and a new Road to Sterile Neutrinos
• Spin-half bosonic classification
• The Lagrangian for mass dimension one fermionic dark matter
• Exploiting new classes of mass-dimension one fermions
• Spinorial structures, discrete symmetries and some consequences
• General Spin Sums in Quantum Field Theory
• Unraveling the Physical Meaning Behind Elko's Dual structure
• Remarks on mass dimension one fermions: The underlying aspects, bilinear forms, Spinor Classification and RIM decomposition
• Hermitian formulation for mass dimension one fermions: Flat and curved space-times
• A Covariant Framework for Generalized Spinor Dual Structures