Digest
Bottom-up, radially resolved analytic framework for stellar dynamics in compact high-redshift systems (proto-globulars, nuclear clusters, and LRD-like nuclei), initialized from high-resolution cosmological simulations and validated against Monte Carlo predictions. Across wide cluster/BH parameter space, main-sequence stellar collisions are ubiquitous and naturally drive runaway growth into very massive stars. In systems with central black holes, inner radii are collision-destructive, rapidly converting stellar mass into dense gas that can feed the BH and yield LRD-like compact environments. The framework ties cluster structure to observable outcomes, outlining a cosmological route from dense clusters to early massive seeds.
Key figures to inspect
- Figure 1 — Use the schematic to locate where constructive vs destructive collisions operate for clusters with and without a central BH, and to trace how merger products migrate inward to assemble a VMS versus how inner destructive zones around BHs build a dense gas reservoir.
- Figure 2 — Read the flowchart to understand the model’s decision branches and which outcomes are realized for the explored parameters (grey branches absent; yellow branches only with inner destructive collisions), clarifying when systems evolve toward VMS growth versus BH-fed gas buildup.
- Figure 3 — Examine the radial collision counts and timescale crossings (t_coll vs t_MS, t_merge, t_relax) with/without a BH to identify the radii enabling runaway sequences and how a central BH steepens inner destructive-collision rates within ~pc scales.
- Figure 4 — Compare predicted maximum VMS mass versus half-mass density to prior fits/simulations, then inspect the implied BH–stellar mass relation (assuming full VMS→BH conversion) against dwarf AGN, JWST high‑z AGN, the Milky Way, and IMBH candidates to gauge seeding efficiency in dense clusters.