Noncommutative Inspired Black Holes in Extra Dimensions

Thomas G. Rizzo

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Noncommutative Inspired Black Holes in Extra Dimensions

Thomas G. Rizzo

High Energy Physics - Phenomenology · Submitted 5 Jun 2006

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

The authors' main claim We show that while many of the noncommutativity-induced black hole features found in 4-d by NSS persist, in some cases there can be significant modifications due the presence of extra dimensions.

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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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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.21 · human participants 0.01 · controlled comparison 0.20 · randomized assignment 0.01 · states quantitative result 0.17 · compares with prior results 0.94 · 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.

In a recent string theory motivated paper, Nicolini, Smailagic and Spallucci (NSS) presented an interesting model for a noncommutative inspired, Schwarzschild-like black hole solution in 4-dimensions. The essential effect of having noncommutative co-ordinates in this approach is to smear out matter distributions on a scale associated with the turn-on of noncommutativity which was taken to be near the 4-d Planck mass. In particular, NSS took this smearing to be essentially Gaussian. This energy scale is sufficiently large that in 4-d such effects may remain invisible indefinitely. Extra dimensional models which attempt to address the gauge hierarchy problem, however, allow for the possibility that the effective fundamental scale may not be far from $\sim$ 1 TeV, an energy regime that will soon be probed by experiments at both the LHC and ILC. In this paper we generalize the NSS model to the case where flat, toroidally compactified extra dimensions are accessible at the Terascale and examine the resulting modifications in black hole properties due to the existence of noncommutativity. We show that while many of the noncommutativity-induced black hole features found in 4-d by NSS persist, in some cases there can be significant modifications due the presence of extra dimensions. We also demonstrate that the essential features of this approach are not particularly sensitive to the Gaussian nature of the smearing employed by NSS.

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	In a recent string theory motivated paper, Nicolini, Smailagic and Spallucci (NSS) presented an interesting model for a noncommutative inspired, Schwarzschild-like black hole solution in 4-dimensions.	background 1.00	0.03	0.03	asserted 1.00
s1	The essential effect of having noncommutative co-ordinates in this approach is to smear out matter distributions on a scale associated with the turn-on of noncommutativity which was taken to be near the 4-d Planck mass.	background 0.98	0.07	0.04	asserted 1.00
s2	In particular, NSS took this smearing to be essentially Gaussian.	background 0.94	0.04	0.02	asserted 0.99
s3	This energy scale is sufficiently large that in 4-d such effects may remain invisible indefinitely.	background 0.82	0.07	0.02	hedged possibility 0.96
s4	Extra dimensional models which attempt to address the gauge hierarchy problem, however, allow for the possibility that the effective fundamental scale may not be far from $\sim$ 1 TeV, an energy regime that will soon be probed by experiments at both the LHC and ILC.	background 0.97	0.05	0.03	hedged possibility 0.96
s5	In this paper we generalize the NSS model to the case where flat, toroidally compactified extra dimensions are accessible at the Terascale and examine the resulting modifications in black hole properties due to the existence of noncommutativity.	contribution 1.00	0.86	0.10	asserted 0.93
s6	We show that while many of the noncommutativity-induced black hole features found in 4-d by NSS persist, in some cases there can be significant modifications due the presence of extra dimensions.	result 0.99	0.94	0.69	asserted 0.96
s7	We also demonstrate that the essential features of this approach are not particularly sensitive to the Gaussian nature of the smearing employed by NSS.	result 0.98	0.93	0.15	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.96.

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arXiv listing abstract v2

not examined

full text
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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

In a recent string theory motivated paper, Nicolini, Smailagic and Spallucci (NSS) presented an interesting model for a noncommutative inspired, Schwarzschild-like black hole solution in 4-dimensions. The essential effect of having noncommutative co-ordinates in this approach is to smear out matter distributions on a scale associated with the turn-on of noncommutativity which was taken to be near the 4-d Planck mass. In particular, NSS took this smearing to be essentially Gaussian. This energy scale is sufficiently large that in 4-d such effects may remain invisible indefinitely. Extra dimensional models which attempt to address the gauge hierarchy problem, however, allow for the possibility that the effective fundamental scale may not be far from $\sim$ 1 TeV, an energy regime that will soon be probed by experiments at both the LHC and ILC. In this paper we generalize the NSS model to the case where flat, toroidally compactified extra dimensions are accessible at the Terascale and examine the resulting modifications in black hole properties due to the existence of noncommutativity. We show that while many of the noncommutativity-induced black hole features found in 4-d by NSS persist, in some cases there can be significant modifications due the presence of extra dimensions. We also demonstrate that the essential features of this approach are not particularly sensitive to the Gaussian nature of the smearing employed by NSS.

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References

Forward citations

Cited by 3 Pith papers

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

On the consistency of non-commutative geometry inspired Reissner-Nordstr\"{o}m black hole solution
gr-qc 2025-07 conditional novelty 6.0 of 10

The smeared-charge Reissner-Nordström metric used in noncommutative black hole papers is not a full solution of Einstein's equations unless the electromagnetic stress tensor is modified by hand.
Charged rotating noncommutative black holes
gr-qc 2010-05 conditional novelty 5.0 of 10

A charged, rotating, singularity-free black hole solution is constructed by extending the Newman-Janis algorithm to non-vacuum stress tensors, completing the noncommutative black hole family.
Condensates: A Bridge to Quantum Gravity
gr-qc 2026-09 unverdicted novelty 1.0 of 10

A review essay arguing that spacetime is a Bose-Einstein-condensate-like emergent phase and that quantum gravity will be probed in condensed matter laboratories, not colliders.

How the literature uses it

23 arXiv papers cite this in 44 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 · 30 sentences without a confident label

Builds on it 1 paper

Here we extend it to the $n$-dimensional spacetime based on the achievement [ref] for the case of $k=0$.] [equation] where $√(θ)$ is the noncommutative parameter with the dimension of length which is associated with the effective minimal length, $Ã$ is a normalization constant[The normalization constant $Ã$ can be fixed by using the constraint: $∫_0^∞ρ(r) dV_n-1=M$, where the parameter $M$ is the ADM mass of black holes, and $dV_n-1$ is an $(n-1)$-dimensional volume element.

Phase transition and entropy inequality of noncommutative black holes in a new extended phase space · Thermodynamics of noncommutative black holes in an extended phase space · 1.00

Uses its method or tool 2 papers

Follow Ref [ref] , we use Eq. ([ref]) to calculate $∂m/∂r_g = 0$ for fixed $√(θ)$ to obtain

Noncommutative geometry inspired black holes in higher dimensions at the LHC · Black Hole Production · 0.99
For this purpose, we are going to exhibit the mass and charge distributions by a smeared delta function $ρ$ (see [ref] ) [equation] where $θ$ is the smallest fundamental cell of observable area in the noncommutative coordinates, beyond which coordinate resolution is vague.

Entropic force approach in a noncommutative charged black hole and the equivalence principle · Introduction · 0.80

Uses its data or values 1 paper

The temperature of noncommutative inspired black holes is given by [ref]

Noncommutative geometry inspired black holes in higher dimensions at the LHC · Black Hole Decays · 0.91

Compares with it 1 paper

In addition, since $r_g$ has been modified, it also leads to temperature differences[The temperature does not depend on $k_n$ so we expect small differences with respect to Ref. [ref] .].

Noncommutative geometry inspired black holes in higher dimensions at the LHC · Black Hole Decays · 0.95

Cites it as background 8 papers

In this way, a large number of non-commutative geometry inspired black hole solutions of general relativity has been obtained including the Schwarzschild black hole [ref] , the Reissner-Nordström black hole [ref] , their higher-dimensional generalizations [ref] and the Banados-Teitelboim-Zanelli black hole in three spacetime dimensions [ref] (see [ref] for a review).

On the consistency of non-commutative geometry inspired Reissner-Nordstr\"{o}m black hole solution · Introduction · 0.86
Previous studies of black hole remnants considered a high initial mass ($∼10$ TeV) black hole and examined its decay down to the Planck scale [ref] .

Noncommutative geometry inspired black holes in higher dimensions at the LHC · Results · 0.80
Recently, the thermodynamics of a noncommutative black hole has received wide attention [ref] .

Phase transition and entropy inequality of noncommutative black holes in a new extended phase space · Introduction · 0.96

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