Macquart Relation Fit to 124 Localized FRBs Validates the Calculated Cross-Section of Stimulated-Transfer Redshifts

Fast Radio Bursts (FRBs) interactions with electrons in the ionized plasma of the intergalactic medium (IGM) produce a pulse dispersion described by classical plasma physics. The dispersion measure (DM) increases with the electron column-density, which itself is a function of the redshift–distance Hubble-Lemaître Law. This DM–redshift relation, or Macquart relation, probes the electron number-density in the IGM. The Stimulated Transfer redshift (STz) is an effect that arises from a quantum interaction of light with electrons. STz is also a function of the electron column-density but produces a photon energy loss that is observed as a redshift. Because dispersion and STz both depend on the electron column-density, a relationship between them can be expressed as a function that is independent of the column-density but proportional to a redshift cross-section constant. We find that the calculated STz cross-section agrees with the Macquart relation derived from 124 localized FRBs to better 5% accuracy. Implications on the proportion of the cosmological redshift that is due to the STz effect are discussed.