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Quantum Phase Transitions and the Breakdown of Classical General Relativity

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arxiv gr-qc/0012094 v1 pith:PSFJDFRD submitted 2000-12-25 gr-qc cond-mat

classification gr-qccond-mat
keywords classicalgeneralhorizonquantumrelativityblackeventhole
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It is proposed that the event horizon of a black hole is a quantum phase transition of the vacuum of space-time analogous to the liquid-vapor critical point of a bose fluid. The equations of classical general relativity remain valid arbitrarily close to the horizon yet fail there through the divergence of a characteristic coherence length. The integrity of global time, required for conventional quantum mechanics to be defined, is maintained. The metric inside the event horizon is different from that predicted by classical general relativity and may be de Sitter space. The deviations from classical behavior lead to distinct spectroscopic and bolometric signatures that can, in principle, be observed at large distances from the black hole.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. One Membrane to Love them all: Tidal deformations of compact objects from the membrane paradigm

    gr-qc 2025-06 conditional novelty 7.0 of 10

    The tidal deformability of any compact object in vacuum general relativity can be encoded in the bulk and shear viscosity of a fictitious membrane, with explicit formulas for the electric and magnetic Love numbers.

  2. Entropy dynamics in gravitational collapse: From Minkowski breaking to de Sitter thermodynamics

    gr-qc 2026-07 conditional novelty 4.0 of 10

    The sign of the Hubble parameter unifies OCK entropy release and Volovik de Sitter thermodynamics as complementary pictures of entropy flow in collapse, without a classical bridge between them.

  3. Black hole mimickers as relativistic stars calculated from the Tolman-Oppenheimer-Volkoff equations

    gr-qc 2025-04 conditional novelty 4.0 of 10

    A horizonless gravastar with a mock horizon emerges from the Tolman-Oppenheimer-Volkoff equations if matter at high pressure transitions to a negative energy-density state.

  4. Towards a Non-singular Paradigm of Black Hole Physics

    gr-qc 2025-01 unverdicted novelty 1.0 of 10

    This is a review built around a week-long workshop, synthesizing the state and open problems of regular black holes and black hole mimickers as alternatives to singular black holes.

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