LEADER 04108nam  22006495  450 
001 9910300553703321
005 20200629140613.0
010   $a3-319-97067-4
024 7 $a10.1007/978-3-319-97067-7
035   $a(CKB)4100000005958341
035   $a(MiAaPQ)EBC5497839
035   $a(DE-He213)978-3-319-97067-7
035   $a(PPN)229915477
035   $a(EXLCZ)994100000005958341
100   $a20180823d2018      u|         0
101 0 $aeng
135   $aurcnu||||||||
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMathematical Modeling Through Topological Surgery and Applications /$fby Stathis Antoniou
205   $a1st ed. 2018.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018.
215   $a1 online resource (92 pages)
225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
311   $a3-319-97066-6 
327   $aIntroduction -- Useful Mathematical Notions -- The Formal Definition of Surgery -- Continuity -- Dynamics -- Solid Surgery -- A Dynamical System Modeling Solid 2-Dimensional 0-Surgery -- The Ambient Space S3 -- Embedded Surgery -- 3-Dimensional Surgery -- Conclusions.
330   $aTopological surgery is a mathematical technique used for creating new manifolds out of known ones. In this book the authors observe that it also occurs in natural phenomena of all scales: 1-dimensional surgery happens during DNA recombination and when cosmic magnetic lines reconnect; 2-dimensional surgery happens during tornado formation and cell mitosis; and they conjecture that 3-dimensional surgery happens during the formation of black holes from cosmic strings, offering an explanation for the existence of a black hole?s singularity. Inspired by such phenomena, the authors present a new topological model that extends the formal definition to a continuous process caused by local forces. Lastly, they describe an intrinsic connection between topological surgery and a chaotic dynamical system exhibiting a ?hole drilling? behavior. The authors? model indicates where to look for the forces causing surgery and what deformations should be observed in the local submanifolds involved. These predictions are significant for the study of phenomena exhibiting surgery and they also open new research directions. This novel study enables readers to gain a better understanding of the topology and dynamics of various natural phenomena, as well as topological surgery itself and serves as a basis for many more insightful observations and new physical implications.
410  0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053
606   $aPhysics
606   $aTopology
606   $aCosmology
606   $aStatistical physics
606   $aDynamics
606   $aErgodic theory
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aTopology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28000
606   $aCosmology$3https://scigraph.springernature.com/ontologies/product-market-codes/P22049
606   $aStatistical Physics and Dynamical Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/P19090
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
615  0$aPhysics.
615  0$aTopology.
615  0$aCosmology.
615  0$aStatistical physics.
615  0$aDynamics.
615  0$aErgodic theory.
615 14$aMathematical Methods in Physics.
615 24$aTopology.
615 24$aCosmology.
615 24$aStatistical Physics and Dynamical Systems.
615 24$aDynamical Systems and Ergodic Theory.
676   $a514.34
700   $aAntoniou$b Stathis$4aut$4http://id.loc.gov/vocabulary/relators/aut$01063694
906   $aBOOK
912   $a9910300553703321
996   $aMathematical Modeling Through Topological Surgery and Applications$92533822
997   $aUNINA