Zero to infinity [[electronic resource] ] : the foundations of physics / / Peter Rowlands

• Autore: Rowlands Peter
• Pubblicazione: New Jersey, : World Scientific, c2007
• Descrizione fisica: 1 online resource (738 p.)
• Disciplina: 530
• Soggetto topico: Physics; Mathematical physics
• Soggetto genere / forma: Electronic books.
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references (p. 639-668) and index.
• Nota di contenuto: Contents; Preface; 1. Zero; 1.1 An Origin for Everything; 1.2 The Genesis of Number; 1.3 The Genesis of Algebra; 1.4 Group Representations; 1.5 Rewriting Nature; 1.6 Quaternions and Vectors; 2. Why Does Physics Work?; 2.1 A Foundational Level; 2.2 The Origin of Abstraction; 2.3 Symmetry; 2.4 The Meaning of the Conservation Laws; 2.5 The Mathematical Structure of Physical Quantities; 2.6 Where Does Dimensionality Come From?; 2.7 A Group of Order 4; 2.8 Noether's Theorem Revisited; 2.9 Analytic Versus Synthetic; 2.10 The Power of Analogy; 2.11 The Nature of Reality; 3. The Emergence of Physics ; 3.1 The Mathematical Character of Physics; 3.2 The Algebra of Space, Time, Mass and Charge; 3.3 The Dirac Algebra; 3.4 The Creation of the Dirac State; 3.5 The Nilpotent Dirac Equation; 3.6 Uniqueness, Qubits and Quantum Computing; 3.7 The Completeness of Mathematical Physics; 3.8 Theoretical Computation; 4. Groups and Representations; 4.1 The Dirac Equation and Quantum Field Theory; 4.2 Reversals of Properties; 4.3 The Dual Group and Higher Symmetries; 4.4 A Broken Octonion; 4.5 A Hierarchy of Dualities; 4.6 Dimensionality; 4.7 Symmetry Hierarchy; 4.8 Colour Representation ; 4.9 3-D (Vector) Representation; 4.10 Tetrahedral Representation; 5. Breaking the Dirac Code; 5.1 Singularities and Redundancy; 5.2 Redundancy in the Dirac Equation; 5.3 Defragmenting the Dirac Equation; 5.4 The Dirac 4-Spinor; 5.5 The 4-Component Differential Operator; 5.6 C-Linear Maps and Lifts; 5.7 The Quaternion Form Derived from a Matrix Representation; 5.8 Bilinear Covariants and the Dirac Lagrangian; 5.9 Removing Redundancies in Relativistic Quantum; 5.10 Orthonormality of the Nilpotent Solutions of the Dirac Equation; 6. The Dirac Nilpotent; 6.1 Spin; 6.2 Helicity ; 6.3 Fermions and Bosons; 6.4 Vacuum; 6.5 CPT Symmetry; 6.6 Baryons; 6.7 Gluons and Exotic States; 6.8 Parities of Bosons and Baryons; 6.9 Supersymmetry and Renormalization; 6.10 Annihilation and Creation Operators; 6.11 The Quantum Field; 6.12 The Nilpotent State; 6.13 Nonlocality; 6.14 BRST Quantization; 7. Nonrelativistic Quantum Mechanics and the Classical Transition; 7.1 The Bispinor Form of the Dirac Equation; 7.2 The Schrödinger Approximation; 7.3 The Heisenberg Formulation of Quantum Mechanics; 7.4 Heisenberg v. Schrödinger; 7.5 The Quantum-Classical Transition; 7.6 The Classical Limit ; 7.7 The Dirac Nilpotent Using Discrete Differentiation; 7.8 Idempotent and Nilpotent Versions of Quantum Mechanics; 7.9 A Fundamental Quantum Mechanical Duality; 8. The Classical and Special Relativistic Approximations; 8.1 Linear Versus Orbital Dynamics; 8.2 Scaling Relations; 8.3 Special Relativity; 8.4 The Significance of the Proper Time; 8.5 The Nature of Classical Physics; 8.6 Constructed Quantities; 8.7 Classical Mechanics; 8.8 Classical Electromagnetic Theory; 9. The Resolution of Paradoxes; 9.1 Paradoxes Relating to Conservation and Nonconservation ; 9.2 Paradoxes Relating to Continuity and Discontinuity
• Sommario/riassunto: Unique in its field, this book uses a methodology that is entirely new, creating the simplest and most abstract foundations for physics to date. The author proposes a fundamental description of process in a universal computational rewrite system, leading to an irreducible form of relativistic quantum mechanics from a single operator. This is not only simpler, and more fundamental, but also seemingly more powerful than any other quantum mechanics formalism available. The methodology finds immediate applications in particle physics, theoretical physics and theoretical computing. In addition, taking the rewrite structure more generally as a description of process, the book shows how it can be applied to large-scale structures beyond the realm of fundamental physics.
• Titolo autorizzato: Zero to infinity
• ISBN: 1-281-91873-3; 9786611918736; 981-270-915-0
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910451357803321
• Lo trovi qui: Univ. Federico II
• Serie: K & E series on knots and everything ; ; v. 41.