I realise that this question has been asked many times on this forum, however, I have yet to come across a satisfying/understandable answer that takes into account gravitational time dilation. Premise: The speed of light inside a gravitational field is slowed down relative to a distant observer by gravitational time dilation as proven by the Shapiro delay experiment. Therefore the speed of any object is slowed down in a gravitational field as seen by a distant observer. The speed of an object/light is related to the strength of the gravitational field. Question: How can anything 'fall' through the event horizon of a black hole within the time span of the entire future of the universe if its speed asymptotically approaches zero as it approaches the event horizon. In the proper time of an object falling into a black hole, the object will cross the event horizon in a finite amount of time. For a distant observer, however, the time it takes is infinite. How does one reconcile this paradox? Let us also ignore the effect of redshift by presuposing that the distant observer has access to infinitely sensitive observational equipment. Logically I know I must be misunderstanding something fundamental as general relativity has been studied by very intelligent physicists for decades and this has not flagged up as an unresolvable paradox. Having said all of that, black holes clearly do grow as they come in different sizes. Somehow matter must pass through the event horizon. However, I don't think this necessarily disproves my reasoning. If the event horizon of a black hole is determined by the mass / energy within. Is it not the event horizon which grows to swallow/reestablish itself above the approaching object rather than the object travelling through the event horizon?