| Description |
1 online resource (257 p.) |
| Contents |
Cover -- Titlepage -- Copyright -- Preface -- Acknowledgements -- Contents -- 1 Introduction -- 1.1 The Objects of Our Enquiry -- 1.2 Symmetry and Evolution -- 1.3 Transforming Structures -- 1.4 Time Regained -- 1.5 Directed Time Ordering and Time's Arrow -- 2 On Newton On Time -- 2.1 On Newton's Methodology in the Scholium -- 2.2 The Tripartite Nature of Newtonian Time -- 2.3 Was Newton a Functionalist About Time? -- 2.4 Chapter Summary -- 3 On Leibniz On Time -- 3.1 Leibniz's Metaphysics of Time -- 3.2 The Chronordinal Problem -- 3.3 The Chronometric Problem -- 3.4 Chapter Summary |
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4 On Mach On Time -- 4.1 Mach's Philosophical Outlook -- 4.2 The Early Machian View of Time -- 4.3 Inertial Clocks -- 4.4 Machian Tensions -- 4.5 Chapter Summary -- 5 Structure and Possibility -- 5.1 Constitutive Structure and Kinematical Possibility -- 5.2 Nomic Structure and Dynamical Equivalence -- 5.3 Symmetry and Equivalence -- 5.4 Chapter Summary -- 6 Conservation and Geometry -- 6.1 Canonical Mechanics -- 6.2 Contact Mechanics -- 6.3 Conserved Charges and Symmetries -- 6.4 Isolated Substructures and Narrow Symmetries -- 6.5 Nomic Structure of Newtonian Mechanics -- 6.6 Chapter Summary |
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7 Irregular Nomic Structure -- 7.1 Irregular Lagrangians -- 7.2 Constrained Hamiltonian Mechanics -- 7.3 Dirac's Theorem -- 7.4 Noether's Second Theorem -- 7.5 Chapter Summary -- 8 Diagnosing Dynamical Redundancy -- 8.1 Variational Symmetries of Histories -- 8.2 Noether's Second Theorem Revised -- 8.3 Initial Value Constraints -- 8.4 Dynamical Redundancy -- 8.5 Nomic Structure of Barbour{Bertotti Theory -- 8.6 Chapter Summary -- 9 The New Framework -- 9.1 The AIR Classi cation -- 9.2 The Nomic-AIR Analysis -- 9.3 Global and Local Structures -- 9.4 Chapter Summary |
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10 Spatiotemporal Structure and Theory Re-Articulation -- 10.1 Structures and Heuristics -- 10.2 Spatiotemporal Structure in Newtonian Mechanics -- 10.3 Spatiotemporal Structure in Barbour{Bertotti Theory -- 10.4 Chapter Summary -- 11 Local Temporal Symmetry -- 11.1 Time Reparameterization Invariance -- 11.2 Dynamical Redundancy and Evolution -- 11.3 Temporal Leibniz Shifts -- 11.4 Chapter Summary -- 12 Reparameterization Invariant Dynamics -- 12.1 Jacobi Actions as Geodesic Principles on Con guration Space -- 12.2 Total Energy as a Constant of Motion -- 12.3 Generalized Hamilton{Jacobi Formalism |
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12.4 Integrals of Motion and Complete Observables -- 12.5 Chapter Summary -- 13 Temporal Structure Regained -- 13.1 Di erentiating Dynamical Redundancy and Evolution -- 13.2 A Dynamical View of Hamiltonian Constraints -- 13.3 The Structure of Jacobi Theories -- 13.4 Chapter Summary -- 14 Conclusion and Prospectus -- 14.1 The Problem of Time in Classical Mechanics -- 14.2 Quantization and Redundancy -- 14.3 Gravitation and Refoliation -- 14.4 The Two Faces of Classical Gravity -- 14.5 Relational Quantization and the New Copernican Principle -- 14.6 Resolving the Big Bang -- References -- Index |
| Summary |
This book presents original theoretical physics research on the 'problem of time' in modern physics in parallel with a new philosophical framework for the analysis of symmetry and evolution in physical theory and new work on the early modern precursors to the problem of time |
| Notes |
Description based upon print version of record |
| Bibliography |
Includes bibliographical references and index |
| Subject |
Mechanics.
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Time.
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mechanics (physics)
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time.
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Mechanics
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Time
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Physics.
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Science.
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| Form |
Electronic book
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| Author |
Thébault, Karim. author
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| ISBN |
0192555316 |
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9780191861178 |
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0191861170 |
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9780192555311 |
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