Galaxy Phase-Space and Field-Level Cosmology: The Strength of Semi-Analytic Models. - Natalí S. M. de Santi; Francisco Villaescusa-Navarro; Pablo Araya-Araya; Gabriella De Lucia; Fabio Fontanot; Lucia A. Perez; Manuel Arnés-Curto; Violeta Gonzalez-Perez; Ángel Chandro-Gómez; Rachel S. Somerville; Tiago Castro (CoRR, 2025)