Black hole physics in globally hyperbolic space-times

It is suspected that the quantum evolution equations describing the micro-world as we know it are of a special kind that allows transformations to a special set of basis states in Hilbert space, such that, in this basis, the evolution is given by elements of the permutation group. This would restore an ontological interpretation. It is shown how, at low energies per particle degree of freedom, almost any quantum system allows for such a transformation. This contradicts Bell’s theorem, and we emphasise why some of the assumptions made by Bell to prove his theorem cannot hold for the models studied here. We speculate how an approach of this kind may become helpful in isolating the most likely version of the Standard Model, combined with General Relativity. A link is suggested with black hole physics.

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A quantum Rosetta Stone for the information paradox

International Journal of Modern Physics D ◽

10.1142/s0218271814420139 ◽

2014 ◽

Vol 23 (12) ◽

pp. 1442013 ◽

Cited By ~ 1

Author(s):

Leopoldo A. Pando Zayas

Keyword(s):

Field Theory ◽

Black Hole ◽

Quantum Chaos ◽

Black Hole Physics ◽

Information Loss ◽

Information Paradox ◽

Information Loss Paradox ◽

Conformal Field ◽

Classical Chaos ◽

Rosetta Stone

The black hole information loss paradox epitomizes the contradictions between general relativity and quantum field theory. The AdS/conformal field theory (CFT) correspondence provides an implicit answer for the information loss paradox in black hole physics by equating a gravity theory with an explicitly unitary field theory. Gravitational collapse in asymptotically AdS spacetimes is generically turbulent. Given that the mechanism to read out the information about correlations functions in the field theory side is plagued by deterministic classical chaos, we argue that quantum chaos might provide the true Rosetta Stone for answering the information paradox in the context of the AdS/CFT correspondence.

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A Century of Black Hole Physics: From Classical Geometry to Hawking Radiation and the Firewall Controversy

Evolution of Black Holes in Anti-de Sitter Spacetime and the Firewall Controversy - Springer Theses ◽

10.1007/978-3-662-48270-4_1 ◽

2016 ◽

pp. 1-35

Author(s):

Yen Chin Ong

Keyword(s):

Black Hole ◽

Hawking Radiation ◽

Black Hole Physics ◽

Classical Geometry

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Ten shades of black

International Journal of Modern Physics D ◽

10.1142/s0218271815440071 ◽

2015 ◽

Vol 24 (12) ◽

pp. 1544007 ◽

Cited By ~ 2

Author(s):

Shahar Hod

Keyword(s):

Black Holes ◽

Black Hole ◽

Radiation Spectrum ◽

Black Hole Physics ◽

Black Body ◽

Black Hole Radiation ◽

Dimensional Spacetime ◽

Opposite Behavior ◽

Curvature Potential ◽

Energy Dependent

The holographic principle has taught us that, as far as their entropy content is concerned, black holes in (3 + 1)-dimensional curved spacetimes behave as ordinary thermodynamic systems in flat (2 + 1)-dimensional spacetimes. In this paper, we point out that the opposite behavior can also be observed in black-hole physics. To show this we study the quantum Hawking evaporation of near-extremal Reissner–Nordström (RN) black holes. We first point out that the black-hole radiation spectrum departs from the familiar radiation spectrum of genuine (3 + 1)-dimensional perfect black-body emitters. In particular, the would be black-body thermal spectrum is distorted by the curvature potential which surrounds the black-hole and effectively blocks the emission of low-energy quanta. Taking into account the energy-dependent gray-body factors which quantify the imprint of passage of the emitted radiation quanta through the black-hole curvature potential, we reveal that the (3 + 1)-dimensional black holes effectively behave as perfect black-body emitters in a flat (9 + 1)-dimensional spacetime.

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Black‐hole physics

Physics Today ◽

10.1063/1.2889973 ◽

1981 ◽

Vol 34 (1) ◽

pp. 69-70

Author(s):

Michael H. Brill ◽

Winfield W. Salisbury ◽

Jacob D. Bekenstein

Keyword(s):

Black Hole ◽

Black Hole Physics

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HOMOTOPY OF POSETS, NET-COHOMOLOGY AND SUPERSELECTION SECTORS IN GLOBALLY HYPERBOLIC SPACE-TIMES

Reviews in Mathematical Physics ◽

10.1142/s0129055x05002480 ◽

2005 ◽

Vol 17 (09) ◽

pp. 1021-1070 ◽

Cited By ~ 19

Author(s):

GIUSEPPE RUZZI

Keyword(s):

Hyperbolic Space ◽

Space Time ◽

Fundamental Groups ◽

Mathematical Framework ◽

Permutation Symmetry ◽

Index Set ◽

Globally Hyperbolic ◽

Underlying Space ◽

Local Observables ◽

Suitable Change

We study sharply localized sectors, known as sectors of DHR-type, of a net of local observables, in arbitrary globally hyperbolic space-times with dimension ≥ 3. We show that these sectors define, as it happens in Minkowski space, a C*-category in which the charge structure manifests itself by the existence of a tensor product, a permutation symmetry and a conjugation. The mathematical framework is that of the net-cohomology of posets according to J. E. Roberts. The net of local observables is indexed by a poset formed by a basis for the topology of the space-time ordered under inclusion. The category of sectors, is equivalent to the category of 1-cocycles of the poset with values in the net. We succeed in analyzing the structure of this category because we show how topological properties of the space-time are encoded in the poset used as index set: the first homotopy group of a poset is introduced and it is shown that the fundamental group of the poset and one of the underlying space-time are isomorphic; any 1-cocycle defines a unitary representation of these fundamental groups. Another important result is the invariance of the net-cohomology under a suitable change of index set of the net.

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