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Is clock syncrhronization actually important to your question? It's not obvious to me why it's relevant to your problem, and it'd be a...
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I have a very naive question? How do we know with 100% certainty that the inside of a blackhole is s singularity? I mean nobody has...
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I think that the answer is in the Noether's theorem.
That question appears in the early stage after Einstein published the GR theory...