03800nam 2200649 a 450 991046450310332120200520144314.01-283-23499-89786613234995981-4343-35-8(CKB)3400000000016741(EBL)840573(OCoLC)748215481(SSID)ssj0000537064(PQKBManifestationID)12234337(PQKBTitleCode)TC0000537064(PQKBWorkID)10551709(PQKB)11190449(MiAaPQ)EBC840573(WSP)00008106(Au-PeEL)EBL840573(CaPaEBR)ebr10493528(CaONFJC)MIL323499(EXLCZ)99340000000001674120110708d2011 uy 0engur|n|---|||||txtccrGeometry of time-spaces[electronic resource] non-commutative algebraic geometry, applied to quantum theory /Olav Arnfinn LaudalSingapore ;Hackensack, N.J. World Scientificc20111 online resource (154 p.)Description based upon print version of record.981-4343-34-X Includes bibliographical references and index.Preface; 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 That1.14 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 Structures4.2 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; IndexThis 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 oGeometry, AlgebraicNoncommutative differential geometryQuantum theoryElectronic books.Geometry, Algebraic.Noncommutative differential geometry.Quantum theory.516.35530.15635Laudal Olav Arnfinn441133MiAaPQMiAaPQMiAaPQBOOK9910464503103321Geometry of time-spaces2215970UNINA