The Dispersion Measure–Distance Relation in a Bounced Cosmology

This paper computes the intergalactic dispersion measure as a function of redshift in a bounced cosmology, integrating the electron column with and without the bounce correction to the expansion rate, and compares the difference with the astrophysical uncertainties that govern the observed relation between dispersion and distance for localised fast radio bursts. The headline results are as follows. Intergalactic dispersion measure at redshift 0.5: 441 pc cm-3; Intergalactic dispersion measure at redshift 1: 901 pc cm-3; Intergalactic dispersion measure at redshift 2: 1.76e+03 pc cm-3; Intergalactic dispersion measure at redshift 3: 2.51e+03 pc cm-3; Fractional change from the bounce correction at redshift 1: 1.11e-84; Dispersion scatter equivalent at redshift 1 from a 20 percent host uncertainty: 180 pc cm-3. All values are computed from the stated assumptions and published inputs; the study is simulated and computed, not measured.