Contents -- Preface -- 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 -- 1.14 Interaction and Non-commutative Algebraic Geometry -- 1.15 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 -- 4.2 Quantum Fields and Dynamics -- 4.3 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.