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## Self-Regular Black Holes Quantized by means of an Analogue to Hydrogen Atoms

### Citations

2964 | Noncommutative Geometry
- Connes
- 1994
(Show Context)
Citation Context ...and, if the minimal length implies the Planck length, the corresponding energy scale is far from being reached by the present and even foreseeing colliders. Nonetheless, if the effect of large extra dimensions could be considered, the micro black holes with the TeV scale would probably be produced at the LHC or its next generation in a nonfar future. In the recent decade or so, there has been much progress on this issue, both in theory [11–27] and in experiment [28–32]. The idea of the self-completeness mentioned above has been realized by Nicolini et al. [33] when the noncommutative geometry [34] is introduced into the ordinary Schwarzschild black hole. It is assumed that the noncommutativity of spacetime would be an intrinsic rather than a super-imposed property of manifold, so that one shouldmodify the distribution of matter and consequently the modified distribution of matter naturally reflects the basic characteristic of noncommutativity inmanifold [35].That is to say, energy-momentum tensors aremodified in terms of smearedmatter distributions in the right hand side of Einstein’s field equations, while no changes aremade in the left hand side. By inserting the condition of energy ... |

36 |
Non-commutative geometry inspired Schwarzschild black hole,”
- Nicolini, Smailagic, et al.
- 2006
(Show Context)
Citation Context ... probed experimentally. On the other hand, if the minimal length implies the Planck length, the corresponding energy scale is far from being reached by the present and even foreseeing colliders. Nonetheless, if the effect of large extra dimensions could be considered, the micro black holes with the TeV scale would probably be produced at the LHC or its next generation in a nonfar future. In the recent decade or so, there has been much progress on this issue, both in theory [11–27] and in experiment [28–32]. The idea of the self-completeness mentioned above has been realized by Nicolini et al. [33] when the noncommutative geometry [34] is introduced into the ordinary Schwarzschild black hole. It is assumed that the noncommutativity of spacetime would be an intrinsic rather than a super-imposed property of manifold, so that one shouldmodify the distribution of matter and consequently the modified distribution of matter naturally reflects the basic characteristic of noncommutativity inmanifold [35].That is to say, energy-momentum tensors aremodified in terms of smearedmatter distributions in the right hand side of Einstein’s field equations, while no changes aremade in the left hand side.... |

30 | Non-commutative black holes, the final appeal to quantum gravity: a review,” - Nicolini - 2009 |

29 | Noncommutative geometry inspired charged black holes,” - Ansoldi, Nicolini, et al. - 2007 |

24 |
UV-Completion by Classicalization
- Dvali, Giudice, et al.
(Show Context)
Citation Context ...nsity of the ground state of hydrogen atoms and the mass densities of nonextreme black holes are given by the probability densities of excited states with no angular momenta. Such an analogue is inclined to adopt quantization of black hole horizons. In this way, the total mass of black holes is quantized. Furthermore, the quantum hoop conjecture and the Correspondence Principle are discussed. 1. Introduction It has been desirable that a nonperturbative quantum gravity theory should have no ultraviolet (UV) divergences [1–4]. To be consistent with this feature, the self-complete gravity theory [5, 6] has been put forward to give a short distance cutoff that naturally avoids the UV divergence. Normally, the probe energy must be higher and higher when the exploration of microscope gets deeper and deeper. However, the production of micro black holes provides a possible way to circumvent such an endless procedure. The UV selfcompleteness renders an intriguing property thatmicro black holes would be produced if elementary particle collisions with the Planckian energy scale could satisfy the so-called quantum hoop conjecture [7]. When the energy goes higher, one cannot probe shorter distances b... |

14 | Non-commutative inspired black holes in extra dimensions,” - Rizzo - 2006 |

12 | Non-commutative geometry inspired higher-dimensional charged black holes,” - Spallucci, Smailagic, et al. - 2009 |

7 | Regular black holes in UV selfcomplete quantum gravity,” - Spallucci, Ansoldi - 2011 |

6 | Non-commutative geometry inspired black holes in higher dimensions at the LHC,” - Gingrich - 2010 |

5 | Infinity Suppression in Gravity-Modified Quantum Electrodynamics”, Phys - Isham, Salam, et al. - 1971 |

4 | Holographic screens in ultraviolet self-complete quantum gravity,” - Nicolini, Spallucci - 2014 |

4 | Search for microscopic black hole signatures at the Large Hadron Collider,” - Khachatryan, Sirunyan, et al. - 2011 |

4 | Time dependent Schrodinger equation for black hole evaporation: no information loss,” - Corda - 2015 |

3 | Black hole production at the CERN LHC: string balls and black holes from pp and lead-lead collisions,” Physical Review D, - Chamblin, Nayak - 2002 |

3 | Hadrons as signature of black hole production at - Mocioiu, Nara, et al. - 2003 |

3 | Black hole production at the LHC by Standard Model bulk fields in the Randall-Sundrum model,” - Rizzo - 2007 |

3 | Black holes production in selfcomplete quantum gravity,” - Spallucci, Smailagic - 2012 |

3 | The final stage of gravitationally collapsed thick matter layers,” - Nicolini, Orlandi, et al. - 2013 |

3 | Search for microscopic black holes in pp collisions at √ - Collaboration - 2012 |

2 |
Quantum hoop conjecture: black hole formation by particle collisions,”
- Casadio, Micu, et al.
- 2014
(Show Context)
Citation Context ... consistent with this feature, the self-complete gravity theory [5, 6] has been put forward to give a short distance cutoff that naturally avoids the UV divergence. Normally, the probe energy must be higher and higher when the exploration of microscope gets deeper and deeper. However, the production of micro black holes provides a possible way to circumvent such an endless procedure. The UV selfcompleteness renders an intriguing property thatmicro black holes would be produced if elementary particle collisions with the Planckian energy scale could satisfy the so-called quantum hoop conjecture [7]. When the energy goes higher, one cannot probe shorter distances but produce greater black holes with bigger horizons, where such objects are called classicalons [5, 6, 8–10].This means that the horizon of micro black holes gives a threshold or a natural minimal length that might be probed experimentally. On the other hand, if the minimal length implies the Planck length, the corresponding energy scale is far from being reached by the present and even foreseeing colliders. Nonetheless, if the effect of large extra dimensions could be considered, the micro black holes with the TeV scale would ... |

2 | Black hole production at the LHC: effects of Voloshin suppression,” - Rizzo - 2002 |

2 | QCD-suppression by black hole production at - Lonnblad, Sjodahl, et al. - 2005 |

2 | Why the length of a quantum string cannot be Lorentz contracted,”Advances inHigh - Aurilia, Spallucci - 2013 |

1 | Suppression of infinities - Delbourgo, Salam, et al. - 1969 |

1 | Quantum gravity and infinities in quantum electrodynamics,” - Salam, Strathdee - 1970 |

1 | Suppression of ultraviolet infinities in gravity-modified field theories,” Physical Review D, - Ram, Dass - 1980 |

1 | Classicalization of gravitons and goldstones,” - Dvali, Gomez, et al. - 2011 |

1 | Ultra-high energy probes of classicalization,” - Dvali, Gomez - 2012 |

1 | Black hole formation and classicalization in ultra-Planckian 2 - Dvali, Gomez, et al. - 2015 |

1 | Top production from black holes at the LHC,” - Najafabadi, Mehdiabadi - 2008 |

1 | Top quark production from black holes at - Chamblin, Cooper, et al. - 2009 |

1 | Higgs production and decay from TeV scale black holes at the LHC,” Physical Review D, - Erkoca, Nayak, et al. - 2009 |

1 | Could any black holes be produced at the LHC?” Physical Review D, - Mureika, Nicolini, et al. - 2012 |

1 | Search for microscopic black holes in a like-sign dimuon final state using large track multiplicity with the ATLAS detector,” Physical Review D, - Collaboration - 2013 |

1 | Search for quantum black hole production in high-invariant-mass lepton+jet final states using pp collisions at √ - Collaboration - 2014 |

1 | Search for microscopic black holes and string balls in final states with leptons and jets with the ATLAS detector at√ - Collaboration - 2014 |

1 |
Dynamically self-regular quantum harmonic black holes,”
- Spallucci, Smailagic
- 2015
(Show Context)
Citation Context ...http://dx.doi.org/10.1155/2016/5982482 2 Advances in High Energy Physics The self-regular solution has no singularity at the origin and it naturally contains a minimal length that originates from the horizon of an extreme black hole. If the point-like mass distribution with the Dirac ... |

1 | Black hole quantum spectrum,”The - Corda - 2013 |

1 | Quasi-normalmodes: the ‘electrons’ of black holes as ‘gravitational atoms’? Implications for the black hole information puzzle,” - Corda - 2015 |

1 | Bohr-like black holes,” - Corda - 2015 |

1 |
Statistics of black hole radiance and the horizon area spectrum,” Physical Review D,
- Bekenstein
- 2015
(Show Context)
Citation Context ...choice is that we provide a unified source of black hole mass densities for both the extreme and nonextreme cases, which makes our proposal succincter. Besides the formulations of mass densities, the other indispensable ingredient in the Bohr-like or our proposal is a special model of quantum mechanics that will be used to make an analogy with the black hole we are trying to quantize. Instead of a harmonic oscillator associated with the Bohr-like quantization [40], we take a hydrogen atom as our specificmodel.The reason of our choice comes from the recent works by Corda [41–44] and Bekenstein [45], where the radiation spectrum of black holes is interpreted (We would like to point out that these works just established the analogy between the Hawking radiation spectra and the energy levels of a hydrogen atom, i.e., the quantization of the radiation spectra, in a semiclassical approach. However, the quantization of the black hole itself was not touched, which leaves the task to the present paper.) to be similar to that of a hydrogen atom. That is, these works imply that there is a deep internal relationship between black holes and hydrogen atoms. Consequently, based on the Bohrlike quanti... |