Electron Optical Depth
Here I compare the electron optical depth resulting from the Modified P19 UVB Rates to the observational measurement from Planck:
\[\tau_{e}\left(z_{r}\right)=\int_{0}^{z_{r}} n_{e} \sigma_{T}(1+z)^{-1}[c / H(z)] d z\]
Here I compare the electron optical depth resulting from the Modified P19 UVB Rates to the observational measurement from Planck:
\[\tau_{e}\left(z_{r}\right)=\int_{0}^{z_{r}} n_{e} \sigma_{T}(1+z)^{-1}[c / H(z)] d z\]