Teleparallel model for the neutrino

@article{Vassiliev2007TeleparallelMF,
  title={Teleparallel model for the neutrino},
  author={Dmitri Vassiliev},
  journal={Physical Review D},
  year={2007},
  volume={75},
  pages={025006}
}
  • D. Vassiliev
  • Published 4 April 2006
  • Mathematics
  • Physical Review D
The main result of the paper is a new representation for the Weyl Lagrangian (massless Dirac Lagrangian). As the dynamical variable we use the coframe, i.e. an orthonormal tetrad of covector fields. We write down a simple Lagrangian--wedge product of axial torsion with a lightlike element of the coframe--and show that variation of the resulting action with respect to the coframe produces the Weyl equation. The advantage of our approach is that it does not require the use of spinors, Pauli… 

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TLDR
The Chern-Simons Lagrangian would rotate the plane of polarization of radiation from distant galaxies, an effect which is not observed, and the magnitude of the vector is 1.7 times the Hubble constant.