Quantum oscillations in the black hole horizon

Corda, Christian; Feleppa, Fabiano; Tamburini, Fabrizio; Licata, Ignazio

doi:10.1134/s0040577922110083

Cited by 6 publications

(23 citation statements)

References 60 publications

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“…But one also recalls that horizon modes have an importance in quantum gravity frameworks if one considers them in terms of the periodic motion of their particle-like analogue [45], by evoking the de Broglie hypothesis. An energy spectrum which scales as ∼ √ n has been obtained in [45], and this seems in agreement with the results in [31][32][33][34] and in [37][38][39]. In the Bohr-like approach [31][32][33][34], by considering the absorptions of external particles, including the original BH formation, and the emissions of Hawking quanta, the BH horizon is not fixed at a constant radius from the BH "nucleus" [33].…”

Section: The Quantum Black Hole: From Bohr To Schrödingersupporting

confidence: 83%

“…The potential V = − M 2 2R is well known as being the self-interaction gravitational potential of a spherical massive shell, where R is its radius [52]. One also recalls from previous Sections of this paper and from [37][38][39] that the physical interpretation of the coordinate r in the Schrödinger equation ( 2) is in terms of the oscillating effective gravitational radius. Thus, from Eq.…”

Section: The Quantum Black Hole: From Bohr To Schrödingermentioning

confidence: 87%

“…In the framework of quantum BHs, the Author and Collaborators developed a semiclassical approach to BH quantization, see for example [31][32][33] and the complete review [34], which is somewhat similar to the historical semi-classical approach to the structure of a hydrogen atom introduced by Bohr in 1913 [35,36]. Recently, the Author and Collaborators improved the analysis [37][38][39]. An approach to quantization due to the famous collaborator of Einstein, N. Rosen [40] has been applied to the historical Oppenheimer and Snyder gravitational collapse [41].…”

Section: The Quantum Black Hole: From Bohr To Schrödingermentioning

confidence: 99%

“…It is also consistent with other BH mass spectra in the literature, see for example. The relationship between the BH effective mass and the BH total energy is [37][38][39]…”

Section: The Quantum Black Hole: From Bohr To Schrödingermentioning

confidence: 99%

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Schrödinger and Klein–Gordon theories of black holes from the quantization of the Oppenheimer and Snyder gravitational collapse

Corda

2023

Commun. Theor. Phys.

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The Schrodinger equation of the Schwarzschild black hole (BH) is derived via path integral approach, re-obtaining the same results previously found by the Author and Collaborators. The BH is composed of a particle, the “electron”, interacting with a central field, the “nucleus”. Via de Broglie's hypothesis , one interprets the “electron” in terms of BH horizon's modes. Quantum gravity effects modify the BH semi-classical structure at the Schwarzschild scale rather than at the Planck scale . The analogy between this BH Schrodinger equation and the Schrodinger equation of the s states of the hydrogen atom permits us to solve the same equation. The quantum gravitational quantities analogous of the fine structure constant and of the Rydberg constant are not constants, but dynamical quantities having well defined discrete spectra. The spectrum of the “gravitational fine structure constant” is the set of non-zero natural numbers.Therefore, BHs are well defined quantum gravitational systems obeying Schrodinger's theory: the “gravitational hydrogen atoms”.By identifying the potential energy in the BH Schrodinger equation as being the gravitational energy of a spherically symmetric shell, the real nature of the quantum BH surfaces. BHs are self-interacting, highly excited, spherically symmetric, massive quantum shells generated by matter condensing on the apparent horizon, concretely realizing the membrane paradigm. The quantum BH descripted as a “gravitational hydrogen atom” is a fictitious mathematical representation of the real, quantum BH, a quantum massive shell having as radius the oscillating gravitational radius. Nontrivial consequences emerge from this intriguing result: i) BHs have neither horizons nor singularities; ii) there is neither information loss in BH evaporation, nor BH complementarity, nor firewall paradox. These results are consistent with previous ones by Hawking, Vaz, Mitra and others.Finally, the special relativistic corrections to the BH Schrodinger equation give the BH Klein-Gordon equation and the corresponding eigenvalues.

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Section: The Quantum Black Hole: From Bohr To Schrödingersupporting

confidence: 83%

Section: The Quantum Black Hole: From Bohr To Schrödingermentioning

confidence: 87%

Section: The Quantum Black Hole: From Bohr To Schrödingermentioning

confidence: 99%

“…It is also consistent with other BH mass spectra in the literature, see for example. The relationship between the BH effective mass and the BH total energy is [37][38][39]…”

Section: The Quantum Black Hole: From Bohr To Schrödingermentioning

confidence: 99%

See 2 more Smart Citations

Schrödinger and Klein–Gordon theories of black holes from the quantization of the Oppenheimer and Snyder gravitational collapse

Corda

2023

Commun. Theor. Phys.

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“…Finally a major improvement of sorts has been brought up by the editors, that of reference [35] which has up to date information which the author was not aware of. But which is included because it adds specific information as to delineating the production of quantum effects in the black holes.…”

Section: Concluding a Comparison Between The Tokamak And The Worm Hol...mentioning

confidence: 99%

Quantization Conditions, for a Wormhole Wave Function Revisited, as to How a Wormhole Throat Could Generate GW and Gravitons: Simple Version of Negative Energy Form Wormhole Obtained from First Principles, and Comparison with Tokamak GW/Gravitons Done

Beckwith¹

2023

JHEPGC

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We revisit how we utilized how Weber in 1961 initiated the process of quantization of early universe fields to the issue of what was for a wormhole mouth. While the wormhole models are well understood, there is not such a consensus as to how the mouth of a wormhole could generate signals. We try to develop a model for doing so and then revisit it, the Wormhole while considering a Tokamak model we used in a different publication as a way of generating GW, and Gravitons.

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Black Hole Spectra from Vaz's Quantum Gravitational Collapse

Corda

2023

Fortschritte der Physik

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In 2014, in a famous paper Hawking strongly criticized the firewall paradox by claiming that it violates the equivalence principle and breaks the CPT invariance of quantum gravity. He proposed that the final result of the gravitational collapse should not be an event horizon, but an apparent horizon instead. On the other hand, Hawking did not give a mechanism for how this could work. In the same year, Vaz endorsed Hawking's proposal in a quantum gravitational model of dust collapse by winning the Second Prize in the 2014 Gravity Research Foundation Essay Competition. He indeed showed that continued collapse to a singularity can only be obtained if one combines two independent and entire solutions of the Wheeler‐DeWitt equation. Vaz's interpretation of the paradox was in terms of simply forbidding such a combination. This leads naturally to matter condensing on the apparent horizon during quantum collapse. In that way, an entirely new framework for black holes (BHs) has emerged. The approach of Vaz was also consistent with Einstein's idea in 1939 of the localization of the collapsing particles within a thin spherical shell. In this work we derive the BH mass and energy spectra via a Schrodinger‐like approach, by further supporting Vaz's conclusions that instead of a spacetime singularity covered by an event horizon, the final result of the gravitational collapse is an essentially quantum object, an extremely compact “dark star”. This “gravitational atom” is held up not by any degeneracy pressure but by quantum gravity in the same way that ordinary atoms are sustained by quantum mechanics. Finally, by evoking the generalized uncertainty principle, the maximum value of the density of Vaz's shell will be estimated.

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Quantum oscillations in the black hole horizon

Cited by 6 publications

References 60 publications

Schrödinger and Klein–Gordon theories of black holes from the quantization of the Oppenheimer and Snyder gravitational collapse

Schrödinger and Klein–Gordon theories of black holes from the quantization of the Oppenheimer and Snyder gravitational collapse

Quantization Conditions, for a Wormhole Wave Function Revisited, as to How a Wormhole Throat Could Generate GW and Gravitons: Simple Version of Negative Energy Form Wormhole Obtained from First Principles, and Comparison with Tokamak GW/Gravitons Done

Black Hole Spectra from Vaz's Quantum Gravitational Collapse

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