Viability of an electron-neutrino negative-energy-density dark matter model

Determine whether an inhomogeneous sea of electron neutrinos modeled by the internal spacetime metrics—where electron neutrinos produce negative energy density for radii r ≥ r0 while possessing positive gravitational mass—can serve as a viable dark matter model by assessing whether their negative energy density effectively acts as additional gravitation under astrophysical conditions.

Background

Within the internal spacetime framework developed in the paper, the energy densities of pointal configurations are analyzed. For r ≥ r0, down and up quarks yield positive energy densities, the electron yields zero energy density, and the electron neutrino yields negative energy density, while each configuration has positive gravitational mass.

Based on this, the authors speculate that an inhomogeneous sea of electron neutrinos, due to their negative energy density and weak interactions, could mimic additional gravitation and potentially explain dark matter. They explicitly note that determining viability requires further investigation.