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Black Hole Quantum Mechanics in the Presence of Species · Around

2012

Black Hole Quantum Mechanics in the Presence of Species

Dvali, Gia, Gomez, Cesar, Lust, Dieter

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Recently within the context of a microscopic quantum theory, the Black Hole's Quantum N-Portrait, it was shown that continuous global symmetries are compatible with quantum black hole physics.

In the present paper we revise within the same framework the semi-classical black hole bound on the number of particle species N_{species}.
We show that unlike the bound on global charge, the bound on species survives in the quantum picture and gives rise to a new fundamental length-scale, L_{species} = sqrt{N_{species}} L_P$, beyond which the resolution of species identities is impossible.
This finding nullifies the so-called species problem.

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G. Dvali and C Gomez, “Quantum Information and Gravity Cutoff in Theories with Species”, Phys. Lett. B674
Original
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Earlier work this paper cites.

Similar

S. W. Hawking, Comm. Math. Phys. 43 (1975) 199
1975
Cited alongside, same era.
W. Israel, Phys. Lett. A57 (1976) 107; L. Bombelli, R. K. Koul, J. H. Lee and R. D. Sorkin, Phys. Rev. D 34, 373 (1986); M. Srednicki, Phys. Rev. Lett. 71, 666 (1993); V. P. Frolov and I. Novikov, Phys. Rev. D 48, 4545 (1993)
1993
Cited alongside, same era.
G. Dvali and C. Gomez, “Black Hole’s 1/N Hair,” arXiv:1203.6575 [hep-th]
Original
Cited in the paper.
G. Dvali, C. Gomez, Black Hole’s Quantum N-Portrait, arXiv:1112.3359 [hep-th]; Landau-Ginzburg Limit of Black Hole’s Quantum Portrait: Self Similarity and Critical Exponent, arXiv:1203.3372 [hep-th]
Original
Cited in the paper.
G. Dvali and S. N. Solodukhin, “Black Hole Entropy and Gravity Cutoff,” arXiv:0806.3976 [hep-th]
Original
Cited in the paper.
J. D. Bekenstein, Do we understand black hole entropy?, arXiv:gr-qc/9409015
Cited in the paper.
G. Dvali and C. Gomez, Self-Completeness of Einstein Gravity, arXiv:1005.3497 [hep-th]
Original
Cited in the paper.

Then

G. Dvali, “Black Holes and Large N Species Solution to the Hierarchy Problem,” arXiv:0706.2050 [hep-th]; G. Dvali and M. Redi, “Black Hole Bound on the Number of Species and Quantum Gravity at LHC,” Phys. Rev. D77
Original
2008
Later among the works it cites.
G. Dvali, M. Redi, S. Sibiryakov, A. Vainshtein, Gravity Cutoff in Theories with Large Discrete Symmetries. Phys.Rev.Lett. 101 (2008) 151603; arXiv:0804.0769 [hep-th]. Similar reasoning, but without derivation of the bound was given in, T. Banks, N. Seiberg, Symmetries and Strings in Field Theory and Gravity, Phys.Rev. D83 (2011) 084019; arXiv:1011.5120 [hep-th]
Original
2011
Later among the works it cites.

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