Density Profiles and Survival of Primordial Black Hole Halos and Clusters

If primordial black holes are born clustered, or cluster early, the objects that later observations meet are not isolated holes but groups: small clusters with their own internal dynamics, density profiles, and life expectancies. Whether such structures survive to the present day decides which version of the abundance bounds applies, the smooth version or the clustered version, and it decides the character of any direct encounter, from lensing signatures to merger environments. The headline computed values are: surviving configs = 0/9; core over ceiling = 4.99e-70. The study is a computation from stated assumptions, not a measurement, and the deposited script reproduces every number quoted.