Nonsingular Dirac particles in spacetime with torsion
Open accessThe claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
At extremely high densities in black holes and the very early universe, the minimal spinor-torsion coupling manifests as gravitational repulsion, which avoids the formation of singularities from fermionic matter.
“At extremely high densities existing in black holes and in the very early universe, the minimal spinor-torsion coupling manifests itself as gravitational repulsion, which avoids the formation of singularities from fermionic matter (Kopczyński 1972(Kopczyński , 1973;;Trautman 1973;Hehl et al. 1974;Gasperini 1986;Brechet et al. 2008;Popławski 2010bPopławski , 2012aPopławski , 2013c;;Magueijo et al.”
From UNIVERSE IN A BLACK HOLE IN EINSTEIN–CARTAN GRAVITY (2016) · cites this paper as Popławski 2010b
Section IV (p. 6) describes a repulsive torsion-induced four-fermion interaction that balances gravitational attraction. The Discussion (p. 6) connects spin and torsion to averting cosmological singularities and proposes that they prevent singularities in self-gravitating fermionic matter, even inside an event horizon. But the paper calls the latter conclusion a conjecture; the claim presents it as established. (LLM, conf=0.86)
Experimental — accuracy not yet measuredThe ECSK theory may solve the problem of divergent integrals in quantum field theory by providing fermions with spatial extension and thus introducing an effective ultraviolet cutoff for their propagators.
“The ECSK theory may also solve the problem of divergent integrals in quantum field theory by providing fermions with spatial extension and thus introducing an effective ultraviolet cutoff for their propagators (Popławski 2010b(Popławski , 2013c)).”
From UNIVERSE IN A BLACK HOLE IN EINSTEIN–CARTAN GRAVITY (2016) · cites this paper as Popławski 2010b
The opening passage (p. 1) says that Dirac particles have spatial extension and that their Cartan radius is expected to introduce an effective ultraviolet cutoff for fermions in quantum field theory. Section IV (p. 6) repeats the cutoff expectation. Our copy does not specifically say that the cutoff acts on fermion propagators or that it solves divergent integrals. (LLM, conf=0.83)
Experimental — accuracy not yet measuredThe contributions from the spin tensor to the right-hand side of the Einstein equations are significant only at extremely high densities, on the order of the Cartan density.
“The contributions from the spin tensor to the right-hand side of the Einstein equations are significant only at extremely high densities, on the order of the Cartan density (Popławski 2010b(Popławski , 2013c)).”
From UNIVERSE IN A BLACK HOLE IN EINSTEIN–CARTAN GRAVITY (2016) · cites this paper as Popławski 2010b
The interior of a Schwarzschild black hole can be represented by the Kantowski-Sachs metric, which describes a closed, anisotropic universe.
“The interior of a Schwarzschild black hole can be represented by the Kantowski-Sachs metric (KS) [29].This metric describes a closed, anisotropic universe [30,31].”
From A nonsingular, anisotropic universe in a black hole with torsion and particle production (2021) · cites this paper as [29]
The citation [29] is attached to the statement that the Schwarzschild interior can be represented by the Kantowski–Sachs metric; the closed, anisotropic-universe description is cited separately. Our copy discusses the Kerr–Newman metric in Section IV (p. 5) and black-hole mass limits in Section V (p. 6), but searches for Kantowski–Sachs and the Schwarzschild interior found no passage addressing the representation attributed to this paper. (LLM, conf=0.76)
Experimental — accuracy not yet measured
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
No references could be resolved yet.
Research works printed but not linked: 9
- [2]C. W. Misner, K. S. Thorne, and J. A. Wheeler, Gravitation (Freeman, 1973); C. M. Will, Theory and Experiment in Gravitational Physics (Cambridge Univ. Press, 1992).
- [8]E. A. Lord, Tensors, Relativity and Cosmology (McGraw-Hill, 1976); N. J. Popsuppress lawski, arXiv:0911.0334. · arXiv
- [11]A. Trautman, in: J.-P. Francoise, G. L. Naber, and S. T. Tsou (Eds.), Encyclopedia of Mathematical Physics , vol. 2, p. 189 (Elsevier, 2006).
- [12]V. de Sabbata and M. Gasperini, Introduction to Gravitation (World Scientific, 1986); V. de Sabbata and C. Sivaram, Spin and Torsion in Gravitation (World Scientific, 1994).
- [16]M. Mathisson, Acta Phys. Polon. 6 , 167 (1937); A. Papapetrou, Proc. Roy. Soc. London A 209 , 248 (1951).
- [22]H. J. Bhabha and H. C. Corben, Proc. Roy. Soc. London A 178 , 273 (1941); H. C. Corben, Phys. Rev. D 121 , 1833 (1961); H. C. Corben, Classical and Quantum Theories of Spinning Particles (Holden-Day, 1968).
- [25]C. Møller, The Theory of Relativity (Oxford Univ. Press, 1972).
- [29]A. H. Taub, Illinois J. Math. 1 , 370 (1957); Y. Four` es-Bruhat, Compt. Rend. 248 , 1782 (1959); Y. Bruhat, in: L. Witten (Ed.), Gravitation: An Introduction to Current Research , p. 130, (Wiley, 1962).
- [30]R. Geroch and J. Traschen, Phys. Rev. D 36 , 1017 (1987); R. M. Wald, arXiv:0907.0412. · arXiv
Cited by
Sorted by citations
Cosmology with torsion: An alternative to cosmic inflation
Popławski, N. J. (2010) · Physics Letters B · doi:10.1016/j.physletb.2010.09.056 · Cited by 205 · see citing works
Self-citationNonsingular, big-bounce cosmology from spinor-torsion coupling
Popławski, N. (2012) · Physical Review D · doi:10.1103/physrevd.85.107502 · Cited by 180 · see citing works
Self-citationUNIVERSE IN A BLACK HOLE IN EINSTEIN–CARTAN GRAVITY
Popławski, N. (2016) · The Astrophysical Journal · doi:10.3847/0004-637x/832/2/96 · Cited by 91 · see citing works
Self-citationA nonsingular, anisotropic universe in a black hole with torsion and particle production
Popławski, N. J. (2021) · General Relativity and Gravitation · doi:10.1007/s10714-021-02790-7 · Cited by 12 · see citing works
Self-citation
- Authors
- Popławski, N. J.
- Affiliations
- Indiana University Bloomington (US)
- Corresponding author
- Popławski, Nikodem J.
- Venue
- Physics Letters B
- Publisher
- Elsevier BV
- Published
- 2010-06
- Volume
- 690
- Issue
- 1
- Pages
- 73-77
- ISSN
- 0370-2693 (ISSN-L)
- OpenAlex
- W1983763945
- Cited by
- 70
- References
- 0
- Citations by year
- 2026: 2 · 2025: 2 · 2024: 4 · 2023: 3 · 2021: 9 · 2020: 11 · 2019: 5 · 2018: 5 · 2017: 4 · 2016: 5 · 2015: 6 · 2014: 3 · 2013: 3 · 2012: 2
- FWCI
- 1.97
- Type
- journal article
- Language
- en
- Update notices
- erratum (2013-12-18)
- Open access
- green
- arxiv.org
- Locations
- Physics Letters B (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- Dirac particles, torsion, multipole expansion, ultraviolet cutoff, black hole mass limits, microscopic black holes, LHC
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.
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
