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Dvali, Gia; Kaikov, Oleg and Valbuena Bermudez, Juan Sebastian (2022): How special are black holes? Correspondence with objects saturating unitarity bounds in generic theories. In: Physical Review D, Vol. 105, No. 5 [PDF, 2MB]

Abstract

Black holes are considered to be exceptional due to their time evolution and information processing. However, it was proposed recently that these properties are generic for objects, the so-called saturons, that attain the maximal entropy permitted by unitarity. In the present paper, we verify this connection within a renormalizable SU(N) invariant theory. We show that the spectrum of the theory contains a tower of bubbles representing bound states of SU(N) Goldstones. Despite the absence of gravity, a saturated bound state exhibits a striking correspondence with a black hole: Its entropy is given by the Bekenstein-Hawking formula;semiclassically, the bubble evaporates at a thermal rate with a temperature equal to its inverse radius;the information retrieval time is equal to Page's time. The correspondence goes through a trans-theoretic entity of the Poincare Goldstone. The black hole-saturon correspondence has important implications for black hole physics, both fundamental and observational.

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