Question

From your point of view, an object falling toward a black hole will never cross the event horizon.

a) This statement makes sense. According to Einstein's theory, from your point of view, the object takes forever to cross the event horizon. You'll see how the object vanishes from view due to the huge gravitational red-shift of light.

b) This statement does not make sense. The event horizon is a mathematical boundary, not a physical one, so the object will cross it. No theory can forbid you to actually see the moment of crossing the event horizon by the object.

Answer 1

An object falling toward a black hole will appear to stop at the event horizon from an outside observer's perspective due to gravitational redshift. The object will eventually cross the event horizon and be pulled into the black hole.

Step-by-step explanation:

In the theory of general relativity, from an outside observer's perspective, an object falling toward a black hole will appear to stop at the event horizon and take an infinite amount of time to cross it. This is due to the immense gravitational redshift of light, where the light emitted by the object is stretched to longer wavelengths and becomes increasingly difficult to observe.

However, the statement that the object will never cross the event horizon does not make sense. The event horizon is a mathematical boundary that defines the point of no return for objects falling into a black hole. While an outside observer may not witness the object crossing the event horizon, it will eventually cross and succumb to the black hole's gravitational pull.