In this lecture, Professor Mathur discusses how the postulate of small corrections can’t recover the missing information. He has in mind corrections that maintain Hawking's original assumption of a smooth horizon. In an alternative proposal called entanglement wedge reconstruction, physicists maintain the assumption of a smooth horizon but argue that in quantum gravity, one needs to redefine what constitutes the information in the radiation. Thus, particles that were inside the black hole in the traditional picture should be included in the definition of the radiation. Unlike fuzzballs, black holes in this proposal have spacetime interiors and event horizons, and it’s conjectured that information can be made to escape through wormholes.
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