GWTC-4.0: Population Properties of Merging Compact Binaries - Abac, A G; Abouelfettouh, I; Acernese, F; Ackley, K; Adamcewicz, C; Adhicary, S; Adhikari, D; Adhikari, N; Adhikari, R X; Adkins, V K; Afroz, S; Afroz, S; et al. (ASTROPHYSICAL JOURNAL LETTERS, 2026)