I have a question relating to black holes. The equivalence principle in General Relativity says there is no way to devise an experiment to determine if I am in a craft accelerating due to thrust from "engines" of some g or in that same craft on the ground being accelerated by the same g due to gravity.
But wouldn't this break down inside of a black hole?
Imagine I fire a beam of light directly at a black hole. It would never been seen to come out on the other side, because it would become trapped in that black hole.
But if I fired that same beam of light normal to the path of my craft accelerating at the same g as that black hole, wouldn't the light be able to pass right through it?
The equivalence is "local only". Meaning that if you take a small volume of space, and measure first order effects, it is equivalent. But over larger volumes of space, there can be second order differences. An example of that is "curvature".
Once you get to experiments involving the geometry of a black hole, you're a long ways away from the local equivalence, and it is no surprise that you can tell that something massive is nearby.
> if I fired that same beam of light normal to the path of my craft accelerating at the same g as that black hole, wouldn't the light be able to pass right through it?
How would you detect the light "passing through" or not?
But wouldn't this break down inside of a black hole?
Imagine I fire a beam of light directly at a black hole. It would never been seen to come out on the other side, because it would become trapped in that black hole.
But if I fired that same beam of light normal to the path of my craft accelerating at the same g as that black hole, wouldn't the light be able to pass right through it?
So doesn't that break the equivalence principle?