Aspects of Quantum Chaos Inside Black Holes

Addazi, Andrea

doi:10.1007/978-3-319-94256-8_12

Cited by 4 publications

(6 citation statements)

References 14 publications

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“…In the semiclassical regime, the partition function of a black hole can be related to an infinite sum of partition functions of conical singularities. Another side of this conjecture has been then proved in this paper, since we suggested that the presence of conical singularities can be related to the chaotization of infalling information [35,36,37,38]. This proposal then finds within this context a paradigmatic example.…”

Section: Conclusion and Remarksmentioning

confidence: 64%

“…It is also worth to note that in Refs. [35,36,37,38] a relation between conical singularities and chaotization of infalling information was pointed out. Indeed, the chaotization phenomenon can be recast from the prospective of the eikonal scattering, confirming the conjecture of Refs.…”

Section: )mentioning

confidence: 99%

“…Indeed, the chaotization phenomenon can be recast from the prospective of the eikonal scattering, confirming the conjecture of Refs. [35,36,37,38].…”

Section: )mentioning

confidence: 99%

“…This observation provides an explicit example of the conjecture proposed in Refs. [35,36,37,38]. In the semiclassical regime, the partition function of a black hole can be related to an infinite sum of partition functions of conical singularities.…”

Section: Conclusion and Remarksmentioning

confidence: 99%

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Conformal bootstrap in dS/CFT and topological quantum gravity

Addazi

Marcianò

2019

Int. J. Geom. Methods Mod. Phys.

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We show that the correspondence among AdS 3 /CF T 2 , the 1D Schwarzian Model, Sachdev-Ye-Kitaev model and 2+1D Topological Quantum Gravity can be extended to the case of dS 3 /CF T 2 . The R-matrix, related to the gravitational scattering amplitude near the horizon of dS 3 black hole, corresponds (on the side of the holographic projection) to a crossing kernel in the Schwarzian Model. The R-matrix is related to the 6j-symbol of SU(1, 1). We also find that in the Euclidean dS 3 a new Kac-Moody symmetry of instantons emerges out. We dub these new solutions Kac-Moodions. A one-to-one correspondence of Kac-Moodion levels and SU(2) spin representations is established. Every instanton then corresponds to spin representations deployed in Topological Quantum Gravity. The instantons are directly connected to the Black Hole entropy, as punctures on its horizon. This strongly supports the recent proposal, in arXiv:1707.00347, that a Kac-Moody symmetry of gravitational instantons is related to the black hole information processing. We also comment on a further correspondence that can be established between the Schwarzian Model and non-commutative spacetimes in 2+1D, passing through the equivalence with Topological Quantum Gravity with cosmological constant, in the limit when the latter vanishes.

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Section: Conclusion and Remarksmentioning

confidence: 64%

Section: )mentioning

confidence: 99%

“…Indeed, the chaotization phenomenon can be recast from the prospective of the eikonal scattering, confirming the conjecture of Refs. [35,36,37,38].…”

Section: )mentioning

confidence: 99%

Section: Conclusion and Remarksmentioning

confidence: 99%

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Conformal bootstrap in dS/CFT and topological quantum gravity

Addazi

Marcianò

2019

Int. J. Geom. Methods Mod. Phys.

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“…Of course CP 2 , K 3 can be inversely oriented, two possible antibubbles CP 2 , K3. S 2 × S 2 has (χ, τ ) = (4, 0), CP 2 has (3, 1), CP 2 has (3, −1) K3 has (24,16) and K3 has (24, −16). In space-time with a spin structure, CP 2 , CP 2 are not possible.…”

mentioning

confidence: 99%

∞-∞: Vacuum energy and virtual black holes

Addazi¹

2016

EPL

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We discuss other contributions to the vacuum energy of quantum field theories and quantum gravity, which have not been considered in literature. As is well known, the presence of virtual particles in vacuum provides the so famous and puzzling contributions to the vacuum energy. As is well known, these mainly come from loop integrations over the four-momenta space. However, we argue that these also imply the presence of a mass density of virtual particles in every volume cell of space-time. The most important contribution comes from quantum gravity S 2 × S 2 bubbles, corresponding to virtual black hole pairs. The presence of virtual masses could lead to another paradox: the space-time itself would have an intrinsic virtual mass density contribution leading to a disastrous contraction -as is known, no negative masses exist in general relativity. We dub this effect the cosmological problem of second type: if not other counter-terms existed, the vacuum energy would be inevitably destabilized by virtual-mass contributions. It would be conceivable that the cosmological problem of second type could solve the first one. Virtual masses renormalize the vacuum energy to an unpredicted parameter, as in the renormalization procedure of the Standard Model charges. In the limit of M P l → ∞ (Pauli-Villars limit), virtual black holes have a mass density providing an infinite counter-term to the vacuum energy divergent contribution M P l → ∞ (assuming MUV = M P l ). Therefore, in the same Schwinger-Feynman-Tomonaga attitude, the problem of a divergent vacuum energy could be analogous to the put-by-hand procedure used for Standard Model parameters.

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