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  • The Black Hole Information Paradox: A Fifty-Year Journey

    The Black Hole Information Paradox by Akil, Ali; Bambi, Cosimo;

    A Fifty-Year Journey

    Series: Springer Series in Astrophysics and Cosmology;

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      • Publisher's listprice EUR 192.59
      • The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.

        81 292 Ft (77 421 Ft + 5% VAT)
      • Discount 12% (cc. 9 755 Ft off)
      • Discounted price 71 537 Ft (68 130 Ft + 5% VAT)

    81 292 Ft

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    Product details:

    • Publisher Springer Nature Singapore
    • Date of Publication 24 September 2025
    • Number of Volumes 1 pieces, Book

    • ISBN 9789819661695
    • Binding Hardback
    • No. of pages716 pages
    • Size 235x155 mm
    • Language English
    • Illustrations VIII, 716 p. 144 illus., 88 illus. in color. Illustrations, black & white
    • 700

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    Long description:

    This book reviews a few different derivations of the Hawking radiation, most main solutions to the paradox proposed in the literature, and some analog laboratory experiments. A black hole is an object whose gravity is so strong that nothing, not even light, can escape its grasp. However, applying quantum field theory on a black hole background, Stephen Hawking showed that black holes are not completely black. In fact, they seem to emit a form of radiation that was named the Hawking radiation. The Hawking radiation appears to be thermal and in a quantum state that is independent of the initial state that formed the black hole; instead, it solely depends on the black hole's total mass, spin, and electric charge. A problem arises when we consider an initial system that collapses, forms a black hole, and eventually the black hole evaporates completely through Hawking radiation. Since Hawking radiation depends solely on the black hole's total mass, spin, and electric charge, it implies that numerous distinct initial states could all lead to the same final state. Consequently, the intricate details of the initial state seem to be lost, which contradicts the unitarity of evolution of closed systems, a fundamental principle of quantum mechanics. The unitarity principle implies that closed systems evolve in a reversible manner, such that, knowing a system’s final state, and the way it evolved, one can always determine its initial state. The many-to-one evolution of the black hole initial state to radiation evolution is in a clear contradiction with this principle. This is the black hole information paradox. The black hole information paradox was found in the 1970s by Stephen Hawking. Over the past 50 years, it has attracted a lot of interest in the theoretical physics community and is still an active research field. Chapters are written by leading experts in the field.

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    Table of Contents:

    1. Deriving the paradox: original derivation of Hawking radiation.- 2. Alternative Derivations of Hawking Radiation.- 3. Is the information loss problem a paradox?.- 4. Alternative theory for the quantum black hole
    and the temperature of its quantum radiation.- 5. Paradox No More: How Stimulated Emission of Radiation Preserves Information Absorbed by Black Holes.

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