The GEODE mass function and its astrophysical implication.

We consider the observational consequences of replacing all black holes (BHs) with a class of non-singular solutions that mimic BHs but with Dark Energy (DE) interiors; GEneric Objects of Dark Energy (GEODEs). We focus on the BH mass function and chirp-mass redshift distribution of mergers visible to gravitational wave observatories. We incorporate the GEODE blueshift into an initially Salpeter stellar remnant distribution, and model the binary population by evolving synthesized binary remnant distributions, published before LIGO's first measurements. We find that a GEODE produced between $20 < z < 40$, and observed at $z \sim 7$, will have its initial mass amplified by $18-134\times$. This can relieve tension between accretion-only growth models and the inferred masses of BHs in quasars at $z \gtrsim 6$. Moreover, we find that merger rates of GEODE binaries increase by a factor of $\sim$\phantom{}$2\times$ relative to classical BHs. The resulting GEODE mass function is consistent with the most recent LIGO constraints at $< 0.5\sigma$. In contrast, a Salpeter stellar distribution that evolves into classical remnants is in tension at $\gtrsim 2\sigma$. This agreement occurs without low-metallicity regions, abnormally large progenitor stars, novel binary formation channels, or primordial object formation at extreme rates. In particular, we find that solar metallicity progenitors, which produce $1.1-1.8\mathrm{M}_\odot$ remnants, overlap with many LIGO observations when evolved as GEODEs.