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https://phys.org/news/2022-03-scientists-stephen-hawking-black-hole.html Scientists may have solved Stephen Hawking's black hole paradox Researchers may have solved Professor Stephen Hawking's famous black hole paradox—a mystery that has puzzled scientists for almost half a century. According to two new studies, something called "quantum hair" is the answer to the problem. In the first paper, published in the journal Physical Review Letters, researchers demonstrated that black holes are more complex than originally thought and have gravitational fields that hold information about how they were formed. The researchers showed that matter collapsing into a black hole leaves a mark in its gravitational field—an imprint referred to as a "quantum hair." In a follow-up paper, published in a separate journal, Physics Letters B, Professor Xavier Calmet from the University of Sussex's School of Mathematical and Physical Sciences and Professor Stephen Hsu from Michigan State University said quantum hairs resolve Hawking's Black Hole Information Paradox. more at link................... the paper: https://www.sciencedirect.com/science/article/pii/S0370269322001290?via%3Dihub Quantum hair and black hole information: Abstract It has been shown that the quantum state of the graviton field outside a black hole horizon carries information about the internal state of the hole. We explain how this allows unitary evaporation: the final radiation state is a complex superposition which depends linearly on the initial black hole state. Under time reversal, the radiation state evolves back to the original black hole quantum state. Formulations of the information paradox on a fixed semiclassical geometry describe only a small subset of the evaporation Hilbert space, and do not exclude overall unitarity.

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