It is well known that matter falling into a black hole will reach light speed on the event horizon and then(not so well known) go faster than light inside. But they won't tell you that.
Since time stops at the event horizon the motion of falling matter has reached light speed there. Time stopping and matter reaching light speed go hand in hand. And if there is even stronger gravity on the other side of the event horizon it would then propel matter faster than light.
Either way General Relativity is in contradiction to Special Relativity. The law of motion provided by SR says that matter cannot reach light speed let alone go faster. But black hole physics demands both.
Light entering the surface of a black hole will gain infinite energy by blueshift. This is a nonsense prediction. Also light emitted outward at the surface will be red shifted infinitely. Outward light would have zero energy. It has an infinite Einstein shift.
Zero and infinite energy light predicted at the event horizon of a black hole proves black hole theory to fail. Those are nonsense predictions.
I don't think there are black holes by light of their failure theoretically.
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