The object has physically fallen through the event horizon and long disintegrated but the imprint of its falling toward the event horizon is slowing down to the

The object has physically fallen through the event horizon and long disintegrated but the imprint of its falling toward the event horizon is slowing down to the outside observer. The falling object emits photons along the way which are what the observer sees. These photons of the falling object shining toward the observer have to travel greater and greater distance in the warped spacetime as the object getting near the event horizon so the photons appear to slow down. The spacetime is being "stretched" (warped) more as getting closer to the blackhole. The event horizon is at the point where the spacetime is "stretched more than" the distance the photons can travel to come out.