Pulse Propagation in Born-Infeld Theory, the World Volume Equivalence Principle and the Hagedorn-like Equation of State of the Chaplygin Gas

G W Gibbons

RECORD

Pulse Propagation in Born-Infeld Theory, the World Volume Equivalence Principle and the Hagedorn-like Equation of State of the Chaplygin Gas

G W Gibbons

High Energy Physics - Theory · Submitted 2 Apr 2001

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

The authors' main claim They suffer a delay with respect to the usual Einstein metric but not with respect to the Boillat metric.

how it is stated · asserted 1.00 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

arXiv IDhep-th/0104015 (version 1)

Pith ID2RFJJKNR, Pith's permanent record of this paper and its review

CitationG W Gibbons. "Pulse Propagation in Born-Infeld Theory, the World Volume Equivalence Principle and the Hagedorn-like Equation of State of the Chaplygin Gas." arXiv:hep-th/0104015 (2001). https://pith.science/paper/2RFJJKNR

Claim paper

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,390 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.04 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.14 · randomized assignment 0.01 · states quantitative result 0.17 · compares with prior results 0.73 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; show every role.

A recently proposed world-volume equivalence principal involving the Boillat, as opposed to the Einstein, metric is examined in the context of some colliding wave solutions of the Born-Infeld equations for which two plane polarized pulses pass through one another without distortion. They suffer a delay with respect to the usual Einstein metric but not with respect to the Boillat metric. Both metrics are flat in this case, and the closed string and open string causal structures are interchanged by the Legendre transformation that is used for solving the associated Monge-Amp\`ere equation. In 1+1 dimensions the equations are known to be equivalent to the vorticity free motion of a Chaplygin gas. The latter is shown to be described by the scalar Born-Infeld equation in all dimensions and it is pointed out that the equation of state is Hagedorn-like: there is an upper bound to the pressure and temperature.

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 recently proposed world-volume equivalence principal involving the Boillat, as opposed to the Einstein, metric is examined in the context of some colliding wave solutions of the Born-Infeld equations for which two plane polarized pulses pass through one another without distortion.	contribution 0.91	0.55	0.17	asserted 0.90
s1	They suffer a delay with respect to the usual Einstein metric but not with respect to the Boillat metric.	result 0.99	0.66	0.27	asserted 1.00
s2	Both metrics are flat in this case, and the closed string and open string causal structures are interchanged by the Legendre transformation that is used for solving the associated Monge-Amp\`ere equation.	result 0.91	0.67	0.13	asserted 1.00
s3	In 1+1 dimensions the equations are known to be equivalent to the vorticity free motion of a Chaplygin gas.	background 0.91	0.13	0.09	asserted 1.00
s4	The latter is shown to be described by the scalar Born-Infeld equation in all dimensions and it is pointed out that the equation of state is Hagedorn-like: there is an upper bound to the pressure and temperature.	result 0.89	0.81	0.35	asserted 1.00

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

What was examined, and what was not

sources read

arXiv listing abstract v1

not examined

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

levels run

P abstract

not run

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 recently proposed world-volume equivalence principal involving the Boillat, as opposed to the Einstein, metric is examined in the context of some colliding wave solutions of the Born-Infeld equations for which two plane polarized pulses pass through one another without distortion. They suffer a delay with respect to the usual Einstein metric but not with respect to the Boillat metric. Both metrics are flat in this case, and the closed string and open string causal structures are interchanged by the Legendre transformation that is used for solving the associated Monge-Amp\`ere equation. In 1+1 dimensions the equations are known to be equivalent to the vorticity free motion of a Chaplygin gas. The latter is shown to be described by the scalar Born-Infeld equation in all dimensions and it is pointed out that the equation of state is Hagedorn-like: there is an upper bound to the pressure and temperature.

Human review

How Pith checks papers → · Full audit of this paper →

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

Phantom Matter and the Cosmological Constant
hep-th 2003-02 accept novelty 5.0 of 10

Any solution of Einstein's equations with a cosmological constant is also a solution of a phantom scalar field coupled to a fluid with rho minus P equal to Lambda over 4 pi G.
Aspects of Born-Infeld Theory and String/M-Theory
hep-th 2001-06 conditional novelty 2.0 of 10

The notes argue that all open-string fields share the same causal cone, set by the open-string metric, and that this cone stays inside the closed-string light cone in Born-Infeld theory.

How the literature uses it

5 arXiv papers cite this in 6 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 · 2 sentences without a confident label

Cites it as support 1 paper

Furthermore, it has turned out that small perturbations are never super-luminal at least in some substances with $w<-1$ (see [ref] as an example).

Phantom dark energy and cosmological solutions without the Big Bang singularity · Introduction · 0.98

Cites it as background 3 papers

Some aspects of wave propagation in Born-Infeld electrodynamics were investigated in [ref] , [ref] , [ref] , [ref] .

On generalized Born--Infeld electrodynamics · Introduction · 1.00
Some publications [ref] and reviews [ref] which studied the Chaplygin gas cosmological models have already appeared in the literature.

Schr\"odinger-Wheeler-DeWitt equation in chaplygin gas FRW cosmological model · Introduction · 1.00
Some publications [ref] and reviews [ref] which studied the Chaplygin gas cosmological models have already appeared in the literature.

Quantum FRW cosmological solutions in the presence of Chaplygin gas and perfect fluid · Introduction · 1.00

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.