The DOI matches its Crossref record; 57 of the 57 references it cites were found in a registry or an index; none of the 27 sources its claims cite is checked for support yet.
Closed strings in Misner space: cosmological production of winding strings
Open accessAbstract
Misner space, also known as the Lorentzian orbifold , is one of the simplest examples of a cosmological singularity in string theory. In this work, the study of weakly coupled closed strings on this space is pursued in several directions. (i) Physical states in the twisted sectors are found to come in two kinds: short strings , which wind along the compact space-like direction in the cosmological (Milne) regions, and long strings , which wind along the compact time-like direction in the (Rindler) whiskers. The latter can be viewed as infinitely long static open strings, stretching from Rindler infinity to a finite radius and folding back onto themselves. (ii) As in the Schwinger effect, tunnelling between these states corresponds to local pair production of winding strings. The tunnelling rate approaches unity as the winding number w gets large, as a consequence of the singular geometry. (iii) The one-loop string amplitude has singularities on the moduli space, associated to periodic closed string trajectories in Euclidean time. In the untwisted sector, they can be traced to the combined existence of CTCs and Regge trajectories in the spectrum. In the twisted sectors, they indicate pair production of winding strings. (iv) At a classical level and in sufficiently low dimension, the condensation of winding strings can indeed lead to a bounce, although the required initial conditions are not compatible with Misner geometry at early times. (v) The semi-classical analysis of winding string pair creation can be generalized to more general (off-shell) geometries. We show that a regular geometry regularizes the divergence at large winding number.
Overview
CoChat Summary
TL;DR
The paper studies closed strings on Misner space, finding twisted sectors contain short strings winding in Milne regions and long strings winding in Rindler regions, with pair production analogous to the Schwinger effect. It argues winding-string condensation can produce a bounce for low transverse dimension and that a regular geometry suppresses the large-winding production divergence.
Key findings
- Twisted physical states come in two kinds: short strings wind along the compact space-like Milne direction, while long strings wind along the compact time-like Rindler direction and can be viewed as infinitely long static open strings stretching from Rindler infinity to a finite radius and folding back onto themselves.
- Tunneling between long and short strings gives local pair production; the Milne-region production rate \(q_4\) is infinite for vanishing boost momentum \(j=0\) and diverges linearly in winding number \(w\), while the abstract states the tunneling rate approaches unity as \(w\) gets large due to the singular geometry.
- The one-loop string amplitude has moduli-space singularities: untwisted-sector poles are traced to CTCs plus Regge trajectories, and twisted-sector poles indicate pair production of winding strings. The one-loop amplitude remains real, but Euclidean-action instabilities imply spontaneous production.
- Classical condensation of winding strings can lead to a bounce for \(D \le 3\) spatial dimensions, or \(D \le 4\) including the dilaton, with critical dimension \(3+1\); a regular geometry regularizes the large-\(w\) divergence, e.g. Milne production \(R \sim \exp(-\pi w\Delta^2/(2\beta))\) and Rindler rate \(R \sim 1/(1+\exp(\pi J^2\sqrt{2}/(\beta\Delta\mu)))\).
Methods
- Analyzes weakly coupled closed strings on the Lorentzian orbifold \(R^{1,1}/\text{boost}\) (Misner space) and Grant space, using orbifold CFT/first quantization, twisted-sector zero modes, semiclassical string trajectories, and an analogy to charged particles in an electric field.
- Computes and interprets the one-loop torus vacuum amplitude, identifies poles at \(\rho=(k-i\beta l)/(n+i\beta w)\), compares the untwisted sector to field-theory free energy, and studies Euclidean periodic trajectories and saddle points.
- Studies back-reaction via homogeneous Kasner-type Einstein equations with winding-string energy-momentum and deformed mean-field geometries \(a(T)\), \(b(r)\), using Schrödinger potentials and WKB/reflection coefficients.
Limitations
- The paper states it obtains only partial results with the particular vacuum implicit in the orbifold prescription; proper implementation of back-reaction in string perturbation theory is “very challenging” and merits more work, and determining the mean-field geometry self-consistently is left as an open problem.
- The paper states the bouncing solutions found cannot be smoothly connected to a Milne geometry in the past, since this would require initial conditions outside the basin of attraction for which the bounce occurs.
- Evident from the text: second quantization is preliminary, with vacuum ambiguity and ad hoc prescriptions for long strings; some off-shell states’ physical meaning is unclear, and much of the analysis is semiclassical and approximation-dependent.
Model-written summary. Check it against the paper before relying on it.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
0 Valid · 7 Not valid · 21 Not checked · 196 Own results and interpretations
A result the paper states — it cites no source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“A non-tachyonic particle with p + , p -> 0 therefore comes from the infinite past in the Milne patch at τ = -∞ and exits in the future Milne patch at τ = +∞.”
§ Closed Strings in Misner Space: Cosmological Production of Winding Strings > 2.1 Classical Propagation in Misner Space
plainstates a cause- Asserted: passes — The authors put it forward as true.
- Checkable: passes — It can be checked against evidence.
- Load-bearing: passes — The paper’s conclusions depend on it.
- Based: passes — The paper gives a reason why it holds.
A result the paper states — it cites no source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“One thus obtains modes which decay exponentially towards the spatial Rindler infinities,”
§ Closed Strings in Misner Space: Cosmological Production of Winding Strings > 2.2 Wave Functions in Misner Space
plainstates an association- Asserted: passes — The authors put it forward as true.
- Checkable: passes — It can be checked against evidence.
- Load-bearing: unclear — It is unclear whether the paper’s conclusions depend on it.
- Based: passes — The paper gives a reason why it holds.
A result the paper states — it cites no source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Wave functions in Grant space are simply given by the product of eigenfunctions in Misner space by plane waves e ipx in the x direction, upon changing the quantization rule to βj -pR ∈ Z.”
§ Closed Strings in Misner Space: Cosmological Production of Winding Strings > 2.3 Wave Functions in Grant Space
plainstates a cause- Asserted: passes — The authors put it forward as true.
- Checkable: passes — It can be checked against evidence.
- Load-bearing: passes — The paper’s conclusions depend on it.
- Based: passes — The paper gives a reason why it holds.
None of the sources cited for this claim have been checked yet.
In the paper
“which diverges like K/T 4 at the cosmological singularity (T = 0) of Misner space [35,36], where the constant K is given by”
§ Closed Strings in Misner Space: Cosmological Production of Winding Strings > 2.4 Energy-momentum Tensor in Field Theory
boostedstates an association- Asserted: passes — The authors put it forward as true.
- Checkable: passes — It can be checked against evidence.
- Load-bearing: passes — The paper’s conclusions depend on it.
- Based: passes — The paper gives a reason why it holds.
A result the paper states — it cites no source for it, so there is none to check. The quote shows it is in the paper.
In the paper
“Again, there is no particle production between the adiabatic in and out vacua.”
§ Closed Strings in Misner Space: Cosmological Production of Winding Strings > 2.3 Wave Functions in Grant Space
plain- Asserted: passes — The authors put it forward as true.
- Checkable: passes — It can be checked against evidence.
- Load-bearing: unclear — It is unclear whether the paper’s conclusions depend on it.
- Based: passes — The paper gives a reason why it holds.
85 more claims
Create a free account to see all 224 claims and to verify the 26 references still open.
- Probably not a substantial claim. 54
- It may state two separate claims as one. 99
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
Each contradiction between two passages listed here was confirmed by an independent check.
Rated minor: it would not touch a result — a value no result rests on, a p-value that stays on the same side of the significance level, or a conflict that is clerical, resolved elsewhere in the paper, or outside its own findings.
In the paper
§ Closed Strings in Misner Space: Cosmological Production of Winding Strings > 5.1.1 Homogeneous Kasner solutions with matter
“The Hubble parameters H i = α i /t blow up at t = 0 -, where all radii shrink to zero size simultaneously.”
§ Closed Strings in Misner Space: Cosmological Production of Winding Strings > 5.1.1 Homogeneous Kasner solutions with matter
“Except for the Misner case (1, 0, 0, . . .), at least one of the exponents α i must be negative, and another two must be positive.”
Rated minor: it would not touch a result — a value no result rests on, a p-value that stays on the same side of the significance level, or a conflict that is clerical, resolved elsewhere in the paper, or outside its own findings.
In the paper
§ Closed Strings in Misner Space: Cosmological Production of Winding Strings > 3.2 Semiclassical Analysis: Short and Long Strings
“for ǫǫ > 1, the string starts and ends at large positive X + X -, and therefore in the Milne region”
§ Closed Strings in Misner Space: Cosmological Production of Winding Strings > 3.2 Semiclassical Analysis: Short and Long Strings
“ǫ = ±1 , ǫ = ±1 (3.9)”
Rated minor: it would not touch a result — a value no result rests on, a p-value that stays on the same side of the significance level, or a conflict that is clerical, resolved elsewhere in the paper, or outside its own findings.
In the paper
§ Closed Strings in Misner Space: Cosmological Production of Winding Strings > 3.3 From Twisted Closed Strings to Charged Particles
“the energy of the tunneling process becomes equal to the potential energy at the horizon y → ∞”
§ Closed Strings in Misner Space: Cosmological Production of Winding Strings > 6. Conclusion
“As apparent from(3.19), the behavior towards the horizon y → -∞”
Citations
Cites
Quantum Fields in Curved Space
Birrell, N. D., & Davies, P. C. W. (1982) · doi:10.1017/cbo9780511622632 · Cited by 8,354
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
Oscillatory approach to a singular point in the relativistic cosmology
Belinskii, V. A., Khalatnikov, I. M., & Lifshitz, E. M. (1970) · Advances in Physics · doi:10.1080/00018737000101171 · Cited by 1,341
Non-linear electrodynamics from quantized strings
Fradkin, E. S., & Tseytlin, A. A. (1985) · Physics Letters B · doi:10.1016/0370-2693(85)90205-9 · Cited by 1,236
Investigations in relativistic cosmology
Lifshitz, E. M., & Khalatnikov, I. M. (1963) · Advances in Physics · doi:10.1080/00018736300101283 · Cited by 912
Chronology protection conjecture
Hawking, S. W. (1992) · Physical Review D · doi:10.1103/physrevd.46.603 · Cited by 814
A general solution of the Einstein equations with a time singularity
Belinskii, V. A., Khalatnikov, I. M., & Lifshitz, E. M. (1982) · Advances in Physics · doi:10.1080/00018738200101428 · Cited by 719
Superstrings in the early universe
Brandenberger, R., & Vafa, C. (1989) · Nuclear Physics B · doi:10.1016/0550-3213(89)90037-0 · Cited by 707
Khoury, J., Ovrut, B. A., Seiberg, N., Steinhardt, P. J., & Turok, N. (2002) · Physical Review D · doi:10.1103/physrevd.65.086007 · Cited by 635
An unstable Yang-Mills field mode
Nielsen, N. K., & Olesen, P. (1978) · Nuclear Physics B · doi:10.1016/0550-3213(78)90377-2 · Cited by 595
Research works printed but not linked: 2
- Misner C W J Ehlers, 1967, Relativity Theory and Astrophysics I: Relativity and Cosmology, 160
- Landau L, Mechanique Quantique
Cited by
Bouncing universes in string-inspired gravity
Biswas, T., Mazumdar, A., & Siegel, W. (2006) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2006/03/009 · Cited by 481
McAllister, L., & Silverstein, E. M. (2008) · General Relativity and Gravitation · doi:10.1007/s10714-007-0556-6 · Cited by 381
Bouncing Universes in String-inspired GravityPreprint
Tirthabir Biswas, A., Mazumdar, A., & Siegel, W. (2005) · Cited by 374
The Kerr/CFT Correspondence and its Extensions
Compère, G. (2012) · Living Reviews in Relativity · doi:10.12942/lrr-2012-11 · Cited by 258
Craps, B., Sethi, S., & Verlinde, E. (2005) · Journal of High Energy Physics · doi:10.1088/1126-6708/2005/10/005 · Cited by 177
Metadata
- Authors
- Berkooz, M., Pioline, B., & Rozali, M.
- Affiliations
- Laboratoire de Physique Théorique et Hautes Energies (FR)
- ORCID
- Pioline, B
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2004-08-06
- Volume
- 2004
- Issue
- 08
- Pages
- 004-004
- ISSN
- 1475-7516 (ISSN-L)
- OpenAlex
- W2044182557
- Cited by
- 54
- References
- 57
- Citations by year
- 2021: 2 · 2019: 1 · 2017: 2 · 2014: 1 · 2012: 2
- FWCI
- 6.26
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- HAL (submittedVersion)
- arXiv (Cornell University)
- Funders
- Aspen Center for Physics
- Minerva Foundation
- Natural Sciences and Engineering Research Council of Canada
- Kavli Institute for Theoretical Physics, University of California, Santa Barbara
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Keywords
- closed strings, winding strings, cosmological singularity, twisted sectors, Schwinger effect, closed string amplitudes, closed timelike curves, Regge trajectories, bounce, cosmological initial conditions, moduli space singularities
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
A language model drew the claims from the paper on 2026-11-14, under version 3 of the claim definition (model deepseek-v4.1-flash, prompt extract-v3).
A second model labelled each claim on 2026-11-14 (model jev-1.13-20260917, definition revision gold-guideline-v0.2).
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
