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if something happened to the black hole at the center of our galaxy, could we know about that problem before it affected us?

We know that light and even gravitational waves propagate at the speed of light.

So if something catastrophic happened to the black hole at the center of our galaxy (about 26,000 lightyears away), would there be any way for us to have advance knowledge of it before we could observe it with telescopes or before we could measure the gravitational changes?

Ludicrous example: say the black hole at the center of the galaxy disappeared 25,999 years ago. Is there a way we would have known about it by now, or do we just have to wait out another year to see if we're all screwed?

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