Information Inheritance Effect: Accretion of Relic White Hole Remnants by Young Black Holes and the Lifetime Anomaly

Within the framework of Loop Quantum Gravity (LQG), black holes at the end of Hawking evaporation avoid the classical curvature singularity and transition into long-lived Planck-mass white hole remnants, which are considered promising candidates for cold dark matter. In this paper, we investigate the astrophysical scenario of gravitational capture (accretion) of these relic remnants by young macroscopic black holes. Using Sagittarius A* as a benchmark, we show that direct relativistic collisionless capture over 1 Gyr yields at least N ~ 1.14 x 10^39 absorbed remnants. We demonstrate that the merging of internal geometries leads to an information inheritance effect, substantially extending the final remnant lifetime and accelerating the onset of the quantum memory burden effect.