Aspects of Quantum Black Holes

Kiefer, Claus

doi:10.1088/1742-6596/1612/1/012017

Cited by 8 publications

(11 citation statements)

References 25 publications

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“…which is the entropy of a quantum system living in a Hilbert (configuration) space of dimension dimH = 2 N , where each of the 2 N configurations has the same statistical weight, see, e.g., [98] for this and other approaches.…”

Section: Analog Gravity Interpretation Of the Partitions Of Integers ...mentioning

confidence: 99%

“…In [93] this is achieved by distinguishing between BH configurations differing not only by how many spin are up and how many are down, as done in other approaches [98], but also by the position of the spin. The "spin-flip map", there introduced, does the job of halving the number of BH configurations in a consistent way, in order to associate spin states, on the one hand, with the OPI of N , on the other hand.…”

Section: Analog Gravity Interpretation Of the Partitions Of Integers ...mentioning

confidence: 99%

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Hunting Quantum Gravity with Analogs: the case of High Energy Particle Physics

Castorina¹,

Iorio²,

Satz³

2022

Preprint

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In this review we collect, for the first time in one paper, old and new results and future perspectives of the research line that uses hadron production, in high-energy scattering processes, to experimentally probe fundamental questions of quantum gravity. The key observations, that ignited the link between the two arenas, are the so-called "color-event horizon" of quantum chromodynamics, and the enormous (de)accelerations involved in such scattering processes: both phenomena point to the Unruh (and related Hawking) type of effects. After the first pioneering investigations of this, such research went on and on, including studies of the horizon entropy and other "black-hole thermodynamical" behaviors, which incidentally are also the frontier of the analog gravity research itself. It is stressed in various places here that the trait d'union between the two phenomenologies is that in both scenarios, hadron physics and black hole physics, "thermal" behaviors are more easily understood not as due to real thermalization processes (sometimes just impossible, given the small number of particles involved), but rather to a stochastic/quantum entanglement nature of such temperature. Finally, other aspects, such as the self-critical organizations of hadronic matter and of black-holes, have been recently investigated. The results of those investigations are also summarized and commented upon here. As a general remark, this research line shows that indeed we can probe quantum gravity theoretical constructions with analog systems that are not confined to belong only to the condensed matter arena. This is as it must be.

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Section: Analog Gravity Interpretation Of the Partitions Of Integers ...mentioning

confidence: 99%

Section: Analog Gravity Interpretation Of the Partitions Of Integers ...mentioning

confidence: 99%

Hunting Quantum Gravity with Analogs: the case of High Energy Particle Physics

Castorina¹,

Iorio²,

Satz³

2022

Preprint

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“…that means that each of the 2 N configurations is accounted for in the same way, through S = ln(number of microstates)= ln(2 N ), see, e.g., [5].…”

Section: Introductionmentioning

confidence: 99%

“…Such corrections mean, of course, that not all configurations have the same weight. On this see, e.g., [5]. With this in mind, the study of the microscopic configurations of a BH amounts to the study of the configurations of a spin model, see, e.g.…”

Section: Introductionmentioning

confidence: 99%

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Quantum black holes, partition of integers and self-similarity

2022

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In this paper, we take the view that the area of a black hole’s event horizon is quantized, [Formula: see text], and the associated degrees of freedom are finite in number and of fermionic nature. We then investigate general aspects of the entropy, [Formula: see text], our main focus being black hole self-similarity. We first find a two-to-one map between the black hole’s configurations and the ordered partitions of the integer [Formula: see text]. Hence, we construct from there a composition law between the subparts making the whole configuration space. This gives meaning to black hole self-similarity, entirely within a single description, as a phenomenon stemming from the well-known self-similarity of the ordered partitions of [Formula: see text]. Finally, we compare the above to the well-known results on the subleading (quantum) corrections, which necessarily require different (quantum) statistical weights for the various configurations.

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