According to gravitational time dilation, how slow is time supposed to pass in the center of a black hole?
Thought experiment time.
Let’s say I was wearing a watch, and had a clock on my back. And let’s say I walked towards a black hole while you watched.
As I got closer and closer to the center, time would start to move slower for me compared to you.
Looking at the clock on my back, you would see it slow down. It would take minutes before you saw a single tick.
Then hours. Then days. As I walk past the event horizon, you would see time for me stop. The clock would no longer tick, and I would be frozen in time.
Am I frozen then? Doomed to sit motionless on the event horizon, never to leave and never to enter the black hole?
Well no. Because time is relative; theory of relativity, remember?
So I’m looking at my watch as I walk to the black hole. As I get closer, I see the watch continue to go at the normal rate.
It doesn’t slow down, one second feels like one second. I look at the clock on my back, and it’s going the same rate as my watch, nothing has changed.
I get closer and closer to the event horizon, but nothing changes.
Because in my bit of space, time is functioning the same way it would anywhere else. It is only slower when we take it relative to somewhere else.
When I hit the event horizon? Well, in any real world set up even with the strongest thing in the universe everything would become a singularity.
But let’s say I survive, what would I see beyond the event horizon?
That we don’t know.
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