This is a false paradox. When analyzed correctly, there is only one reality in that the particle does not reach the event horizon, regardless of the coordinates used to make the measurements. That That is, when measured by any and every coordinate system, a black hole will evaporate from Hawking radiation before a particle can reach the event horizon. For example, as calculated using the Schwarzchild metric, whether measured in coordinate time or local (proper) time, a black hole will evaporate beforewhen a particle can reachis at a location outside the event horizon. This suggests it is physically impossible for anything to reach and cross an event horizon. AMy article provides a more complete explanation is here: Weller D. "Five fallacies used to link black holes to Einstein’s relativistic space-time." Progress in Physics, 2011, v. 1, 93.