Do Dark Gravity Theories Predict Opera Superluminal Neutrinos and LENR   Phenomena?
  We investigate whether theories with two conjugate metrics g_{\mu \nu} and $\tilde{g}_{\mu \nu} = \eta_{\mu \rho} \eta_{\nu \lambda} g^{\rho \lambda}$ where $\eta_{\mu \rho}$ is supposed to be a background non dynamical and flat Minkowkian metric or an auxiliary field, actually predicted the occurrence of apparently superluminal propagations (from our metric side $g_{\mu \nu}$ point of view) such as the one recently reported by the Opera experiment. We find that indeed such theories could predict the order of magnitude of the superluminal velocity and even explain the apparent conflict with the SN1987 normal neutrino speeds provided the neutrinos are able to oscillate between the two conjugate metrics while propagating in a dense medium. We then explain the theoretical motivations and explore all possible phenomenological consequences of the field discontinuities naturally expected in some Dark Gravity theories. Since the Opera results was not confirmed, these discontinuities do not actually allow a propagation of neutrinos oscillating between the two conjugate metrics.   Two attempted crosslists (gr-qc, hep-th) for this article were rejected {\guillemotleft} upon a notice from Arxiv moderators, who determined the submission to be inappropriate for the gr-qc (General Relativity and Quantum Cosmology) and hep-th (High Energy Physics-Theory) subject classifications. {\guillemotright}So if you think that this article and theoretical works in the references deserve to be known by theorists (up to now, no other such kind of predictions of supraluminous effects with the correct order of magnitude came to my knowledge) please make it known. 
Fr\'ed\'eric Henry-Couannier
physics.gen-ph