Gaussian Delay Models for Light Broadenings and Redshifts

In astronomy light emission is characterized by a frequency ω0/2π, a redshift z (sometimes a blueshift), a FWHM (Full Width Half Maximum) and an EW (Equivalent Width). ω0 relates to the nature of the concerned atom or molecule, z allows to determine the speed and the distance of the body through the Hubble law, FWHM measures the wave spectral width, and EW defines a kind of SNR (Signal-to-Noise Ratio). In this paper, we show that Gaussian time delays on pure waves can theoretically explain the width of emission lines, any redshift and a floor noise which can be matched to any EW. c