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Zero to infinity [[electronic resource] ] : the foundations of physics / / Peter Rowlands
| Zero to infinity [[electronic resource] ] : the foundations of physics / / Peter Rowlands |
| Autore | Rowlands Peter |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (738 p.) |
| Disciplina | 530 |
| Collana | K & E series on knots and everything |
| Soggetto topico |
Physics
Mathematical physics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-91873-3
9786611918736 981-270-915-0 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 |
| Record Nr. | UNINA-9910451357803321 |
Rowlands Peter
|
||
| New Jersey, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Zero to infinity [[electronic resource] ] : the foundations of physics / / Peter Rowlands
| Zero to infinity [[electronic resource] ] : the foundations of physics / / Peter Rowlands |
| Autore | Rowlands Peter |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (738 p.) |
| Disciplina | 530 |
| Collana | K & E series on knots and everything |
| Soggetto topico |
Physics
Mathematical physics |
| ISBN |
1-281-91873-3
9786611918736 981-270-915-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 |
| Record Nr. | UNINA-9910784822703321 |
|
Rowlands Peter
|
||
| New Jersey, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Zero to infinity [[electronic resource] ] : the foundations of physics / / Peter Rowlands
| Zero to infinity [[electronic resource] ] : the foundations of physics / / Peter Rowlands |
| Autore | Rowlands Peter |
| Pubbl/distr/stampa | New Jersey, : World Scientific, c2007 |
| Descrizione fisica | 1 online resource (738 p.) |
| Disciplina | 530 |
| Collana | K & E series on knots and everything |
| Soggetto topico |
Physics
Mathematical physics |
| ISBN |
1-281-91873-3
9786611918736 981-270-915-0 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| 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 |
| Record Nr. | UNINA-9910828447803321 |
|
Rowlands Peter
|
||
| New Jersey, : World Scientific, c2007 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||