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Information can be lost in Black Holes from "summary" of A Brief History of Time by Stephen W. Hawking

In the early 1970s, the concept of black holes began to pose a significant problem for physicists. According to classical physics, once something falls into a black hole, it can never escape. This raised a crucial question: what happens to the information about the object that fell into the black hole? One possibility was that the information was destroyed, never to be retrieved. This idea was troubling because it violated a fundamental principle of quantum mechanics: information is always conserved. In other words, the information about a system at one time should determine its state at any future time. To tackle this problem, physicists proposed the idea of "Hawking radiation." According to this concept, black holes are not truly black but emit a small amount of radiation due to quantum effects near the event horizon. Over time, this radiation causes the black hole to lose mass and ev...
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    A Brief History of Time

    Stephen W. Hawking

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