No Passing Zone: Falling Into an Evaporating Black Hole

Abstract

This analysis extends our previous work which demonstrated that horizon crossing is not physically realizable in static black hole spacetimes using an inelastic rope thought experiment. Here we examine evaporating black holes using the ingoing Vaidya metric. By analyzing geodesic evolution and tracking e(tau) = r(tau) - 2M(v(tau)) for infalling particles, we show that the shrinking horizon generically outruns all timelike infall. For a Hawking-like evaporation profile, we derive the geodesic equations and demonstrate that d_e/d_tau > 0 throughout the evaporation process. This result suggests that event horizon formation is dynamically precluded under semi-classical evaporation.