No Access

Black holes and topological surgery

Stathis Antoniou

School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Greece

E-mail Address: santoniou@math.ntua.gr

Search for more papers by this author

Louis H. Kauffman

Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, USA

Department of Mechanics and Mathematics, Novosibirsk State University, Novosibirsk, Russia

E-mail Address: kauffman@uic.edu

Search for more papers by this author

, and

Sofia Lambropoulou

School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Greece

E-mail Address: sofia@math.ntua.gr

Search for more papers by this author

https://doi.org/10.1142/S0218216520420109Cited by:1 (Source: Crossref)

This article is part of the issue:

Special Issue: Proceedings of 6th Russian — Chinese Conference on Knot Theory and Related Topics (Part 1)
Guest Editors: N. Abrosimov, Z. Cheng, L. H. Kauffman, A. Vesnin and Z. Yang

Abstract

We directly connect topological changes that can occur in mathematical three-space via surgery, with black hole formation, the formation of wormholes and new generalizations of these phenomena. This work widens the bridge between topology and natural sciences and creates a new platform for exploring geometrical physics.

AMSC: 57M25, 83F05

References

1. S. Antoniou, L. H. Kauffman and S. Lambropoulou, Topological surgery in cosmic phenomena, Adv. Theor. Math. Phys. 23(3) (2019) 701–765. https://doi.org/10.4310/ATMP. 2019.v23.n3.a3 Crossref, Web of Science, Google Scholar
2. S. Antoniou and S. Lambropoulou, Extending topological surgery to natural processes and dynamical systems, PLOS ONE 12(9) (2017). https://doi.org/10.1371/journal.pone.0183993 Crossref, Web of Science, Google Scholar
3. S. W. Hawking, Black holes from cosmic strings, Phys. Lett. B 231(237) (1989) 237–239. Crossref, Web of Science, Google Scholar
4. R. M. Kiehn, Falaco solitons, cosmic strings in a swimming pool, preprint (2001), http://arxiv.org/pdf/gr-qc/0101098v1. Google Scholar
5. R. M. Kiehn, Non-Equilibrium Thermodynamics, Non-Equilibrium Systems and Irreversible Processes-Adventures in Applied Topology, Vol. 1 (University of Houston Copyright CSDC, 2013). Google Scholar
6. J. Levin, Topology and the cosmic microwave background, Phys. Rep. 365 (2002) 251–333. Crossref, Web of Science, Google Scholar
7. W. B. R. Lickorish, A representation of orientable combinatorial 3-manifolds, Ann. Math. 76(2) (1962) 531–540. Crossref, Web of Science, Google Scholar
8. J.-P. Luminet, J. R. Weeks, A. Riazuelo, R. Lehoucq and J.-P. Uzan, Dodecahedral space topology as an explanation for weak wide-angle temperature correlations in the cosmic microwave background, Nature 425 (2003) 593–595. Crossref, Web of Science, Google Scholar
9. V. V. Prasolov and A. B. Sossinsky, Knots, Links, Braids and 3-Manifolds, Translations of Mathematical Monographs, Vol. 154 (American Mathematical Society, 1997). Crossref, Google Scholar
10. L. Susskind, Copenhagen versus everett, teleportation, and $ER = EPR$ , Fortschr. Phys. 64(6–7) (2016) 551–564. https://doi.org/10.1002/prop.201600036 Crossref, Web of Science, Google Scholar
11. A. H. Wallace, Modifications and cobounding manifolds, Canad. J. Math. 12 (1960) 503–528. Crossref, Google Scholar
12. J. R. Weeks, The Shape of Space (CRC Press, 2001). Crossref, Google Scholar
13. J. A. Wheeler, On the nature of quantum geometrodynamics, Ann. Phys. 2 (1957) 604–614. https://doi.org/10.1016/0003-4916(57)90050-7 Crossref, Web of Science, Google Scholar