Determine the causal mechanism of feedback-dependent topological differences

Determine whether the feedback-dependent differences in galaxy topology arise from gas heating, changes in satellite orbits and survival, halo-centric redistribution, altered galaxy formation histories, or a combination of these processes.

Background

The study identifies feedback-dependent differences in the spatial distributions of satellites and quenched galaxies, particularly in massive halos and at intra-halo, circum-halo, and inter-halo scales. Persistence diagrams and Wasserstein distances establish that these differences are associated primarily with shifts in the birth and death scales of loop-like configurations, but the measurements are geometric and population-level rather than dynamical or causal.

The authors explicitly state that the topological analysis cannot distinguish among several possible physical explanations, including heating of gas, changes in satellite orbital evolution and survival, redistribution within halos, and altered galaxy-formation histories. Resolving this issue would require additional physical diagnostics and likely evolutionary or phase-space analyses.