Gravitational singularity (English Wikipedia)

Gambini, Rodolfo; Olmedo, Javier; Pullin, Jorge (2014-05-07). "Quantum black holes in loop quantum gravity". Classical and Quantum Gravity. 31 (9): 095009. arXiv:1310.5996. Bibcode:2014CQGra..31i5009G. doi:10.1088/0264-9381/31/9/095009. ISSN 0264-9381. S2CID 119247455.
Copeland, Edmund J.; Myers, Robert C.; Polchinski, Joseph (2004). "Cosmic F- and D-strings". Journal of High Energy Physics. 2004 (6): 13. arXiv:hep-th/0312067. Bibcode:2004JHEP...06..013C. doi:10.1088/1126-6708/2004/06/013. S2CID 140465.
Goswami, Rituparno; Joshi, Pankaj S. (2008). "Spherical gravitational collapse in N dimensions". Physical Review D. 76 (8): 084026. arXiv:gr-qc/0608136. Bibcode:2007PhRvD..76h4026G. doi:10.1103/PhysRevD.76.084026. ISSN 1550-7998. S2CID 119441682.
Goswami, Rituparno; Joshi, Pankaj S.; Singh, Parampreet (2006-01-27). "Quantum Evaporation of a Naked Singularity". Physical Review Letters. 96 (3): 031302. arXiv:gr-qc/0506129. Bibcode:2006PhRvL..96c1302G. doi:10.1103/PhysRevLett.96.031302. ISSN 0031-9007. PMID 16486681. S2CID 19851285.

books.google.com

Zebrowski, Ernest (2000). A History of the Circle: Mathematical Reasoning and the Physical Universe. Piscataway New Jersey: Rutgers University Press. p. 180. ISBN 978-0813528984.

doi.org

Narlikar, J. V.; Padmanabhan, Th. (June 1988). "The Schwarzschild solution: Some conceptual difficulties". Found Phys. 18. Springer Nature: 659–668. doi:10.1007/BF00734568.
Gambini, Rodolfo; Olmedo, Javier; Pullin, Jorge (2014-05-07). "Quantum black holes in loop quantum gravity". Classical and Quantum Gravity. 31 (9): 095009. arXiv:1310.5996. Bibcode:2014CQGra..31i5009G. doi:10.1088/0264-9381/31/9/095009. ISSN 0264-9381. S2CID 119247455.
Majhi, Abhishek (2022). "Resolving the Singularity by Looking at the Dot and Demonstrating the Undecidability of the Continuum Hypothesis" (PDF). Foundations of Science. 29 (2): 405–440. doi:10.1007/s10699-022-09875-9. ISSN 1233-1821. S2CID 246942045.
Copeland, Edmund J.; Myers, Robert C.; Polchinski, Joseph (2004). "Cosmic F- and D-strings". Journal of High Energy Physics. 2004 (6): 13. arXiv:hep-th/0312067. Bibcode:2004JHEP...06..013C. doi:10.1088/1126-6708/2004/06/013. S2CID 140465.
Bojowald, Martin (2008). "Loop Quantum Cosmology". Living Reviews in Relativity. 11 (1): 4. Bibcode:2008LRR....11....4B. doi:10.12942/lrr-2008-4. ISSN 2367-3613. PMC 5255532. PMID 28163606.
Goswami, Rituparno; Joshi, Pankaj S. (2008). "Spherical gravitational collapse in N dimensions". Physical Review D. 76 (8): 084026. arXiv:gr-qc/0608136. Bibcode:2007PhRvD..76h4026G. doi:10.1103/PhysRevD.76.084026. ISSN 1550-7998. S2CID 119441682.
Goswami, Rituparno; Joshi, Pankaj S.; Singh, Parampreet (2006-01-27). "Quantum Evaporation of a Naked Singularity". Physical Review Letters. 96 (3): 031302. arXiv:gr-qc/0506129. Bibcode:2006PhRvL..96c1302G. doi:10.1103/PhysRevLett.96.031302. ISSN 0031-9007. PMID 16486681. S2CID 19851285.
LoPresto, M. C. (2003). "Some Simple Black Hole Thermodynamics". The Physics Teacher. 41 (5): 299–301. Bibcode:2003PhTea..41..299L. doi:10.1119/1.1571268. S2CID 122758428.

einstein-online.info

Uggla, Claes (2006). "Spacetime Singularities". Einstein Online. 2 (1002). Max Planck Institute for Gravitational Physics. Archived from the original on 2017-01-24. Retrieved 2015-10-20.

gutenberg.org

Klein, Felix (2011). The Evanston Colloquium Lectures on Mathematics Delivered From August 28 to September 9, 1893 Before Members of the Congress of Mathematics Held in Connection with the World's Fair in Chicago, Illinois (PDF). The Project Gutenberg.

hal.science

Majhi, Abhishek (2022). "Resolving the Singularity by Looking at the Dot and Demonstrating the Undecidability of the Continuum Hypothesis" (PDF). Foundations of Science. 29 (2): 405–440. doi:10.1007/s10699-022-09875-9. ISSN 1233-1821. S2CID 246942045.

harvard.edu

ui.adsabs.harvard.edu

Gambini, Rodolfo; Olmedo, Javier; Pullin, Jorge (2014-05-07). "Quantum black holes in loop quantum gravity". Classical and Quantum Gravity. 31 (9): 095009. arXiv:1310.5996. Bibcode:2014CQGra..31i5009G. doi:10.1088/0264-9381/31/9/095009. ISSN 0264-9381. S2CID 119247455.
Copeland, Edmund J.; Myers, Robert C.; Polchinski, Joseph (2004). "Cosmic F- and D-strings". Journal of High Energy Physics. 2004 (6): 13. arXiv:hep-th/0312067. Bibcode:2004JHEP...06..013C. doi:10.1088/1126-6708/2004/06/013. S2CID 140465.
Bojowald, Martin (2008). "Loop Quantum Cosmology". Living Reviews in Relativity. 11 (1): 4. Bibcode:2008LRR....11....4B. doi:10.12942/lrr-2008-4. ISSN 2367-3613. PMC 5255532. PMID 28163606.
Goswami, Rituparno; Joshi, Pankaj S. (2008). "Spherical gravitational collapse in N dimensions". Physical Review D. 76 (8): 084026. arXiv:gr-qc/0608136. Bibcode:2007PhRvD..76h4026G. doi:10.1103/PhysRevD.76.084026. ISSN 1550-7998. S2CID 119441682.
Goswami, Rituparno; Joshi, Pankaj S.; Singh, Parampreet (2006-01-27). "Quantum Evaporation of a Naked Singularity". Physical Review Letters. 96 (3): 031302. arXiv:gr-qc/0506129. Bibcode:2006PhRvL..96c1302G. doi:10.1103/PhysRevLett.96.031302. ISSN 0031-9007. PMID 16486681. S2CID 19851285.
LoPresto, M. C. (2003). "Some Simple Black Hole Thermodynamics". The Physics Teacher. 41 (5): 299–301. Bibcode:2003PhTea..41..299L. doi:10.1119/1.1571268. S2CID 122758428.

hawking.org.uk

Hawking, Stephen. "The Beginning of Time". Stephen Hawking: The Official Website. Cambridge University. Archived from the original on 6 October 2014. Retrieved 26 December 2012.

nih.gov

pubmed.ncbi.nlm.nih.gov

Bojowald, Martin (2008). "Loop Quantum Cosmology". Living Reviews in Relativity. 11 (1): 4. Bibcode:2008LRR....11....4B. doi:10.12942/lrr-2008-4. ISSN 2367-3613. PMC 5255532. PMID 28163606.
Goswami, Rituparno; Joshi, Pankaj S.; Singh, Parampreet (2006-01-27). "Quantum Evaporation of a Naked Singularity". Physical Review Letters. 96 (3): 031302. arXiv:gr-qc/0506129. Bibcode:2006PhRvL..96c1302G. doi:10.1103/PhysRevLett.96.031302. ISSN 0031-9007. PMID 16486681. S2CID 19851285.

ncbi.nlm.nih.gov

Bojowald, Martin (2008). "Loop Quantum Cosmology". Living Reviews in Relativity. 11 (1): 4. Bibcode:2008LRR....11....4B. doi:10.12942/lrr-2008-4. ISSN 2367-3613. PMC 5255532. PMID 28163606.

physicsoftheuniverse.com

"Singularities". Physics of the Universe.

semanticscholar.org

api.semanticscholar.org

Gambini, Rodolfo; Olmedo, Javier; Pullin, Jorge (2014-05-07). "Quantum black holes in loop quantum gravity". Classical and Quantum Gravity. 31 (9): 095009. arXiv:1310.5996. Bibcode:2014CQGra..31i5009G. doi:10.1088/0264-9381/31/9/095009. ISSN 0264-9381. S2CID 119247455.
Majhi, Abhishek (2022). "Resolving the Singularity by Looking at the Dot and Demonstrating the Undecidability of the Continuum Hypothesis" (PDF). Foundations of Science. 29 (2): 405–440. doi:10.1007/s10699-022-09875-9. ISSN 1233-1821. S2CID 246942045.
Copeland, Edmund J.; Myers, Robert C.; Polchinski, Joseph (2004). "Cosmic F- and D-strings". Journal of High Energy Physics. 2004 (6): 13. arXiv:hep-th/0312067. Bibcode:2004JHEP...06..013C. doi:10.1088/1126-6708/2004/06/013. S2CID 140465.
Goswami, Rituparno; Joshi, Pankaj S. (2008). "Spherical gravitational collapse in N dimensions". Physical Review D. 76 (8): 084026. arXiv:gr-qc/0608136. Bibcode:2007PhRvD..76h4026G. doi:10.1103/PhysRevD.76.084026. ISSN 1550-7998. S2CID 119441682.
Goswami, Rituparno; Joshi, Pankaj S.; Singh, Parampreet (2006-01-27). "Quantum Evaporation of a Naked Singularity". Physical Review Letters. 96 (3): 031302. arXiv:gr-qc/0506129. Bibcode:2006PhRvL..96c1302G. doi:10.1103/PhysRevLett.96.031302. ISSN 0031-9007. PMID 16486681. S2CID 19851285.
LoPresto, M. C. (2003). "Some Simple Black Hole Thermodynamics". The Physics Teacher. 41 (5): 299–301. Bibcode:2003PhTea..41..299L. doi:10.1119/1.1571268. S2CID 122758428.

stanford.edu

plato.stanford.edu

Curiel, Erik (2021). "Singularities and Black Holes". Stanford Encyclopedia of Philosophy. Metaphysics Research Lab, Stanford University. Retrieved 1 October 2021.

utexas.edu

farside.ph.utexas.edu

Euclides; Heiberg, J. L.; Fitzpatrick, R. (2008). Fitzpatrick, Richard (ed.). Euclid's elements of geometry: the Greek text of J. L. Heiberg (1883–1885): from Euclidis Elementa, edidit et Latine interpretatus est I. L. Heiberg, in aedibus B. G. Teubneri, 1883–1885 (PDF). Translated by Fitzpatrick, Richard (Revised and corrected ed.). s.n. ISBN 978-0-615-17984-1.

web.archive.org

Uggla, Claes (2006). "Spacetime Singularities". Einstein Online. 2 (1002). Max Planck Institute for Gravitational Physics. Archived from the original on 2017-01-24. Retrieved 2015-10-20.
Hawking, Stephen. "The Beginning of Time". Stephen Hawking: The Official Website. Cambridge University. Archived from the original on 6 October 2014. Retrieved 26 December 2012.

worldcat.org

search.worldcat.org

Gambini, Rodolfo; Olmedo, Javier; Pullin, Jorge (2014-05-07). "Quantum black holes in loop quantum gravity". Classical and Quantum Gravity. 31 (9): 095009. arXiv:1310.5996. Bibcode:2014CQGra..31i5009G. doi:10.1088/0264-9381/31/9/095009. ISSN 0264-9381. S2CID 119247455.
Majhi, Abhishek (2022). "Resolving the Singularity by Looking at the Dot and Demonstrating the Undecidability of the Continuum Hypothesis" (PDF). Foundations of Science. 29 (2): 405–440. doi:10.1007/s10699-022-09875-9. ISSN 1233-1821. S2CID 246942045.
Bojowald, Martin (2008). "Loop Quantum Cosmology". Living Reviews in Relativity. 11 (1): 4. Bibcode:2008LRR....11....4B. doi:10.12942/lrr-2008-4. ISSN 2367-3613. PMC 5255532. PMID 28163606.
Goswami, Rituparno; Joshi, Pankaj S. (2008). "Spherical gravitational collapse in N dimensions". Physical Review D. 76 (8): 084026. arXiv:gr-qc/0608136. Bibcode:2007PhRvD..76h4026G. doi:10.1103/PhysRevD.76.084026. ISSN 1550-7998. S2CID 119441682.
Goswami, Rituparno; Joshi, Pankaj S.; Singh, Parampreet (2006-01-27). "Quantum Evaporation of a Naked Singularity". Physical Review Letters. 96 (3): 031302. arXiv:gr-qc/0506129. Bibcode:2006PhRvL..96c1302G. doi:10.1103/PhysRevLett.96.031302. ISSN 0031-9007. PMID 16486681. S2CID 19851285.