LEADER 03985nam 22005535 450 001 9910300558803321 005 20200705225250.0 010 $a3-319-98023-8 024 7 $a10.1007/978-3-319-98023-2 035 $a(CKB)4100000006671785 035 $a(MiAaPQ)EBC5517002 035 $a(DE-He213)978-3-319-98023-2 035 $a(PPN)230542409 035 $a(EXLCZ)994100000006671785 100 $a20180914d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 12$aA Conceptual History of Space and Symmetry $b[electronic resource] $eFrom Plato to the Superworld /$fby Pietro Giuseppe Fré 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (323 pages) 311 $a3-319-98022-X 327 $aThe Episteme -- Symmetry and Mathematics -- How Group Theory came into Being -- From Crystals to Plato -- The Long Tale of Lie Groups -- Hermann Weyl and Representation Theory -- A Short History of Differential Geometry -- Geometry Becomes Complex -- Geometry Becomes Special -- Black Holes: The Physics of Geometry -- Modern Manifolds from Ancient Polyhedra -- Epilogue. 330 $aThis book presents the author?s personal historical perspective and conceptual analysis on symmetry and geometry. The author enlightens with modern views the historical process which led to the contemporary vision of space and symmetry that are used in theoretical physics and in particular in such abstract and advanced descriptions of the physical world as those provided by supergravity. The book is written intertwining storytelling and philosophical argumentation with some essential technical material. The author argues that symmetry and geometry are inextricably entangled and their current meaning is the result of a long process of abstraction which was determined through history and can be understood within the analytic system of thought of western civilization that started with the Ancient Greeks. The evolution of geometry and symmetry theory in the last forty years has been deeply and constructively influenced by supersymmetry/supergravity and the allied constructions of strings and branes. Further advances in theoretical physics cannot be based simply on the Galilean method of interrogating nature and then formulating a testable theory to explain the observed phenomena. One ought to interrogate human thought, meaning frontier-line mathematics concerned with geometry and symmetry in order to find there the threads of so far unobserved correspondences, reinterpretations and renewed conceptions. 606 $aPhysics 606 $aQuantum field theory 606 $aString theory 606 $aGravitation 606 $aHistory and Philosophical Foundations of Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P29000 606 $aQuantum Field Theories, String Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19048 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aClassical and Quantum Gravitation, Relativity Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/P19070 615 0$aPhysics. 615 0$aQuantum field theory. 615 0$aString theory. 615 0$aGravitation. 615 14$aHistory and Philosophical Foundations of Physics. 615 24$aQuantum Field Theories, String Theory. 615 24$aMathematical Methods in Physics. 615 24$aClassical and Quantum Gravitation, Relativity Theory. 676 $a516.1 700 $aFré$b Pietro Giuseppe$4aut$4http://id.loc.gov/vocabulary/relators/aut$0953469 906 $aBOOK 912 $a9910300558803321 996 $aA Conceptual History of Space and Symmetry$92514576 997 $aUNINA