Black hole remnants due to Planck-length deformed QFT

Alain R. P. Dirkes; Michael Maziashvili; Zurab K. Silagadze

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Black hole remnants due to Planck-length deformed QFT

Alain R. P. Dirkes, Michael Maziashvili, Zurab K. Silagadze

General Relativity and Quantum Cosmology · Submitted 28 Sep 2013

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim While the emergence of the minimum-length most readily leads to the idea of the black hole remnants, here we examine the behaviour of the potential that follows from the Planck-length deformed QFT in absence of the minimum length and show that it might also lead to the formation of the Planck mass black holes in some particular cases.

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arXiv ID1309.7427 (version 2)

Pith IDETA2724P, Pith's permanent record of this paper and its review

CitationAlain R. P. Dirkes, Michael Maziashvili, Zurab K. Silagadze. "Black hole remnants due to Planck-length deformed QFT." arXiv:1309.7427 (2013). https://pith.science/paper/ETA2724P

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,333 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.46 · human participants 0.01 · controlled comparison 0.17 · randomized assignment 0.01 · states quantitative result 0.17 · compares with prior results 0.81 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; show every role.

It was argued in a number of papers that the gravitational potential calculated by using the modified QFT that follows from the Planck-length deformed uncertainty relation implies the existence of black-hole remnants of the order of the Planck-mass. Usually this sort of QFTs are endowed with two specific features, the modified dispersion relation, which is universal, and the concept of minimum length, which, however, is not universal. While the emergence of the minimum-length most readily leads to the idea of the black hole remnants, here we examine the behaviour of the potential that follows from the Planck-length deformed QFT in absence of the minimum length and show that it might also lead to the formation of the Planck mass black holes in some particular cases. The calculations are made for higher-dimensional case as well. Such black hole remnants might be considered as a possible candidates for the dark-matter.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	It was argued in a number of papers that the gravitational potential calculated by using the modified QFT that follows from the Planck-length deformed uncertainty relation implies the existence of black-hole remnants of the order of the Planck-mass.	background 1.00	0.04	0.15	asserted 0.74
s1	Usually this sort of QFTs are endowed with two specific features, the modified dispersion relation, which is universal, and the concept of minimum length, which, however, is not universal.	background 1.00	0.06	0.03	asserted 0.90
s2	While the emergence of the minimum-length most readily leads to the idea of the black hole remnants, here we examine the behaviour of the potential that follows from the Planck-length deformed QFT in absence of the minimum length and show that it might also lead to the formation of the Planck mass black holes in some particular cases.	contribution 0.97	0.90	0.75	speculative 0.50
s3	The calculations are made for higher-dimensional case as well.	method 0.56	0.84	0.03	asserted 0.92
s4	Such black hole remnants might be considered as a possible candidates for the dark-matter.	interpretation 1.00	0.20	0.12	speculative 0.70

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.90.

What was examined, and what was not

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arXiv listing abstract v2

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T body sentences
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The paper

Original abstract

It was argued in a number of papers that the gravitational potential calculated by using the modified QFT that follows from the Planck-length deformed uncertainty relation implies the existence of black-hole remnants of the order of the Planck-mass. Usually this sort of QFTs are endowed with two specific features, the modified dispersion relation, which is universal, and the concept of minimum length, which, however, is not universal. While the emergence of the minimum-length most readily leads to the idea of the black hole remnants, here we examine the behaviour of the potential that follows from the Planck-length deformed QFT in absence of the minimum length and show that it might also lead to the formation of the Planck mass black holes in some particular cases. The calculations are made for higher-dimensional case as well. Such black hole remnants might be considered as a possible candidates for the dark-matter.

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References

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Clarifications on black/white hole metastable relics as dark matter
gr-qc 2026-10 conditional novelty 5.0 of 10

Metastable black hole relics with a lifetime proportional to the fifth power of their initial mass would radiate optical and ultraviolet photons at rates that could make them detectable with today's neutrino telescopes.
Black Hole Remnants and the Information Loss Paradox
gr-qc 2014-12 conditional novelty 4.0 of 10

Remnants remain a viable end state of Hawking evaporation, but they only ease the information paradox and firewall if a black hole's interior stores far more information than its horizon area counts.

How the literature uses it

3 arXiv papers cite this in 5 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 3 sentences without a confident label

Cites it as background 2 papers

As a result, before proceeding with this study, we will provide an analysis of the existing proposals for the GUP in $d$-dimensions, with $d=n+1$ and $n$ the number of spatial dimensions [ref] .

Generalized Uncertainty Principle and Black Holes in Higher Dimensional Self-Complete Gravity · Introduction · 0.95
Applications to black hole thermodynamics are of particular interest in the present context, and the interested reader is referred to [ref] and references therein.

Self-Completeness and the Generalized Uncertainty Principle · Generalized uncertainty principle · 0.98

What it cites · 10 sentences without a confident label

Cites as background 15 papers

Finally, let us mention the papers known to us addressing the question of modified potential due to deformed propagator [ref] and some of the papers devoted to the black hole remnants due to Planck-length deformed field theory [ref] .

Lagrangian Formulation of a Magnetostatic Field in the Presence of a Minimal Length Scale Based on the Kempf Algebra · Concluding remarks · 1.00
Finally, let us mention the papers known to us addressing the question of modified potential due to deformed propagator [ref] and some of the papers devoted to the black hole remnants due to Planck-length deformed field theory [ref] .

Noncommutative Black Holes, The Final Appeal To Quantum Gravity: A Review · Concluding remarks · 1.00
Finally, let us mention the papers known to us addressing the question of modified potential due to deformed propagator [ref] and some of the papers devoted to the black hole remnants due to Planck-length deformed field theory [ref] .

Exclusion of black hole disaster scenarios at the LHC · Concluding remarks · 1.00

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