The Luminosity Cutoff of the Fast Radio Burst Population

This paper computes the isotropic energies and peak luminosities that a fluence-limited fast radio burst survey probes as a function of redshift, scales the brightest catalogue-class events from the survey threshold, and assesses whether the population's observed upper end represents a physical cutoff or a selection effect. The headline results are as follows. Isotropic energy of a threshold burst at redshift 0.5: 1.37e+40 erg; Isotropic energy of a threshold burst at redshift 1: 5.54e+40 erg; Peak luminosity of a threshold burst at redshift 1 for a 1 ms duration: 5.54e+43 erg s-1; Energy ratio between redshift 1 and redshift 0.5 thresholds: 4.05; Isotropic energy of the brightest catalogue-class burst at 100 times threshold fluence at redshift 1: 5.54e+42 erg; Rest-frame energy density of a redshift 1 threshold burst in a 1 km emission volume: 1.32e+24 J m-3. All values are computed from the stated assumptions and published inputs; the study is simulated and computed, not measured.