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In the region r < 2M, all the light cones have tilted over so that they lead inexorably inward.
Any observer in this region, geodesic or not, must move towards the singularity at r = 0 (the thick black line). There simply are no escape routes to larger (and safer) r.
What a remarkable thing! It's not like you could escape if you just had a more powerful rocket. The thing that traps one inside a black hole is *causality*.
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