Modified dispersion relations and black hole physics

Bo Hu; Xiang Li; Yi Ling

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Modified dispersion relations and black hole physics

Yi Ling, Bo Hu, Xiang Li

General Relativity and Quantum Cosmology · Submitted 14 Dec 2005

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

The authors' main claim It can prevent black holes from total evaporation, as a result providing a plausible mechanism to treat the remnant of black holes as a candidate for dark matter.

how it is stated · hedged possibility 0.50 read the record →

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The compiled record

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, 4,129 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.06 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.09 · 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.

A modified formulation of energy-momentum relation is proposed in the context of doubly special relativity. We investigate its impact on black hole physics. It turns out that such modification will give corrections to both the temperature and the entropy of black holes. In particular this modified dispersion relation also changes the picture of Hawking radiation greatly when the size of black holes approaching the Planck scale. It can prevent black holes from total evaporation, as a result providing a plausible mechanism to treat the remnant of black holes as a candidate for 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	A modified formulation of energy-momentum relation is proposed in the context of doubly special relativity.	contribution 0.89	0.77	0.03	asserted 0.93
s1	We investigate its impact on black hole physics.	contribution 0.98	0.85	0.03	unclear 0.62
s2	It turns out that such modification will give corrections to both the temperature and the entropy of black holes.	result 1.00	0.87	0.23	asserted 0.95
s3	In particular this modified dispersion relation also changes the picture of Hawking radiation greatly when the size of black holes approaching the Planck scale.	result 0.97	0.80	0.15	asserted 0.95
s4	It can prevent black holes from total evaporation, as a result providing a plausible mechanism to treat the remnant of black holes as a candidate for dark matter.	interpretation 0.82	0.80	0.69	hedged possibility 0.50

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

sources read

arXiv listing abstract v2

not examined

full text
figures and tables
references and citing sentences
relations to other papers

levels run

P abstract

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S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

A modified formulation of energy-momentum relation is proposed in the context of doubly special relativity. We investigate its impact on black hole physics. It turns out that such modification will give corrections to both the temperature and the entropy of black holes. In particular this modified dispersion relation also changes the picture of Hawking radiation greatly when the size of black holes approaching the Planck scale. It can prevent black holes from total evaporation, as a result providing a plausible mechanism to treat the remnant of black holes as a candidate for dark matter.

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How the literature uses it

14 arXiv papers cite this in 17 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 · 12 sentences without a confident label

Compares with it 1 paper

This situation is similar to the case presented in [ref] while the difference here is that due to EUP, $T∼T_0$ is also bounded from below with a minimum value for large black holes.

Modified dispersion relations and (A)dS Schwarzschild Black holes · EUP case · 1.00

Cites it as background 4 papers

Within this framework, the issue of black holes and their thermodynamics has been explored by many authors in several different contexts and background theories of gravity, see for instance [ref] .

Effects of Planck-scale-modified dispersion relations on the thermodynamics of charged black holes · Introduction · 0.98
As long as a fundamental theory of quantum gravity is not available to predict this effect from the scattering between gravitons and the probe particles such quantum gravity effects can be modeled phenomenologically by a modification of the relativistic dispersion relation of freely falling point particles, see [ref] and references therein.

Redshift and lateshift from homogeneous and isotropic modified dispersion relations · Introduction · 0.89
Before a complete theory of quantum gravity could be established, it is quite desirable to construct regular black hole solutions, which are non-singular everywhere and characterized by a finite Kretschmann scalar curvature, to understand the final stage of star collapse and black hole evaporation [ref] .

Modified regular black holes with time delay and 1-loop quantum correction · Introduction · 0.88

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