LEADER 03800nam 2200649 a 450 001 9910464503103321 005 20200520144314.0 010 $a1-283-23499-8 010 $a9786613234995 010 $a981-4343-35-8 035 $a(CKB)3400000000016741 035 $a(EBL)840573 035 $a(OCoLC)748215481 035 $a(SSID)ssj0000537064 035 $a(PQKBManifestationID)12234337 035 $a(PQKBTitleCode)TC0000537064 035 $a(PQKBWorkID)10551709 035 $a(PQKB)11190449 035 $a(MiAaPQ)EBC840573 035 $a(WSP)00008106 035 $a(Au-PeEL)EBL840573 035 $a(CaPaEBR)ebr10493528 035 $a(CaONFJC)MIL323499 035 $a(EXLCZ)993400000000016741 100 $a20110708d2011 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aGeometry of time-spaces$b[electronic resource] $enon-commutative algebraic geometry, applied to quantum theory /$fOlav Arnfinn Laudal 210 $aSingapore ;$aHackensack, N.J. $cWorld Scientific$dc2011 215 $a1 online resource (154 p.) 300 $aDescription based upon print version of record. 311 $a981-4343-34-X 320 $aIncludes bibliographical references and index. 327 $aPreface; Contents; 1. Introduction; 1.1 Philosophy; 1.2 Phase Spaces, and the Dirac Derivation; 1.3 Non-commutative Algebraic Geometry, andModuli of Simple Modules; 1.4 Dynamical Structures; 1.5 Quantum Fields and Dynamics; 1.6 Classical Quantum Theory; 1.7 Planck's Constants, and Fock Space; 1.8 General Quantum Fields, Lagrangians and Actions; 1.9 Grand Picture. Bosons, Fermions, and Supersymmetry; 1.10 Connections and the Generic Dynamical Structure; 1.11 Clocks and Classical Dynamics; 1.12 Time-Space and Space-Times; 1.13 Cosmology, Big Bang and All That 327 $a1.14 Interaction and Non-commutative Algebraic Geometry1.15 Apology; 2. Phase Spaces and the Dirac Derivation; 2.1 Phase Spaces; 2.2 The Dirac Derivation; 3. Non-commutative Deformations and the Structure of the Moduli Space of Simple Representations; 3.1 Non-commutative Deformations; 3.2 The O-construction; 3.3 Iterated Extensions; 3.4 Non-commutative Schemes; 3.4.1 Localization, Topology and the Scheme Structure on Simp(A); 3.4.2 Completions of Simpn(A); 3.5 Morphisms, Hilbert Schemes, Fields and Strings; 4. Geometry of Time-spaces and the General Dynamical Law; 4.1 Dynamical Structures 327 $a4.2 Quantum Fields and Dynamics4.3 Classical Quantum Theory; 4.4 Planck's Constant(s) and Fock Space; 4.5 General Quantum Fields, Lagrangians and Actions; 4.6 Grand Picture: Bosons, Fermions, and Supersymmetry; 4.7 Connections and the Generic Dynamical Structure; 4.8 Clocks and Classical Dynamics; 4.9 Time-space and Space-times; 4.10 Cosmology, Big Bang and All That; 5. Interaction and Non-commutative Algebraic Geometry; 5.1 Interactions; 5.2 Examples and Some Ideas; Bibliography; Index 330 $aThis is a monograph about non-commutative algebraic geometry, and its application to physics. The main mathematical inputs are the non-commutative deformation theory, moduli theory of representations of associative algebras, a new non-commutative theory o 606 $aGeometry, Algebraic 606 $aNoncommutative differential geometry 606 $aQuantum theory 608 $aElectronic books. 615 0$aGeometry, Algebraic. 615 0$aNoncommutative differential geometry. 615 0$aQuantum theory. 676 $a516.35 676 $a530.15635 700 $aLaudal$b Olav Arnfinn$0441133 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910464503103321 996 $aGeometry of time-spaces$92215970 997 $aUNINA