Time regained: Volume 1 Symmetry and evolution in classical mechanics
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford, United Kingdom
Oxford University Press
[2024]
|
| Online-Zugang: | Inhaltsverzechnis |
| Beschreibung: | Literaturverzeichnis Seite [225]-240. - Index |
| Beschreibung: | xi, 243 Seiten Illustrationen |
| ISBN: | 9780198822066 |
Internformat
MARC
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| 100 | 1 | |a Gryb, Sean |e Verfasser |0 (DE-588)1316762459 |4 aut | |
| 245 | 1 | 0 | |a Time regained |n Volume 1 |p Symmetry and evolution in classical mechanics |c Sean Gryb (University of Groningen), Karim P.Y. Thébault (University of Bristol) |
| 264 | 1 | |a Oxford, United Kingdom |b Oxford University Press |c [2024] | |
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Datensatz im Suchindex
| _version_ | 1806054532882366464 |
|---|---|
| adam_text |
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
PART I NATURAL PHILOSOPHY OF TIME
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
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
PART II
SYMMETRY AND STRUCTURE
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
-,
Y,
IBIIOTHEK
DEUTSCHES
MUSEUM
:
-
.
HLUENCHE'A
X
CONTENTS
6.4 ISOLATED
SUBSTRUCTURES
AND
NARROW SYMMETRIES
100
6.5 NOMIC STRUCTURE
OF
NEWTONIAN
MECHANICS
103
6.6
CHAPTER SUMMARY 109
7
IRREGULAR NOMIC STRUCTURE 110
7.1 IRREGULAR LAGRANGIANS 110
7.2 CONSTRAINED HAMILTONIAN MECHANICS 112
7.3
DIRAC'S THEOREM 116
7.4
NOETHER'S SECOND THEOREM 119
7.5
CHAPTER SUMMARY 121
8 DIAGNOSING DYNAMICAL REDUNDANCY 122
8.1 VARIATIONAL
SYMMETRIES
OF
HISTORIES 122
8.2 NOETHER'S SECOND THEOREM
REVISED 125
8.3 INITIAL VALUE CONSTRAINTS 131
8.4 DYNAMICAL REDUNDANCY 136
8.5 NOMIC STRUCTURE
OF
BARBOUR-BERTOTTI THEORY 140
8.6 CHAPTER
SUMMARY
150
9 THE NEW FRAMEWORK 151
9.1
THE AIR CLASSIFICATION 151
9.2
THE NOMIC-AIR ANALYSIS 156
9.3
GLOBAL
AND
LOCAL STRUCTURES 160
9.4 CHAPTER SUMMARY 161
PART III THE PROBLEM OF TIME IN CLASSICAL MECHANICS
10 SPATIOTEMPORAL STRUCTURE
AND
THEORY
RE-ARTICULATION
165
10.1 STRUCTURES
AND
HEURISTICS
165
10.2 SPATIOTEMPORAL STRUCTURE IN NEWTONIAN MECHANICS 170
10.3 SPATIOTEMPORAL STRUCTURE IN BARBOUR-BERTOTTI
THEORY
175
10.4 CHAPTER SUMMARY 177
11
LOCAL TEMPORAL SYMMETRY 178
11.1
TIME REPARAMETERIZATION INVARIANCE 178
11.2
DYNAMICAL REDUNDANCY
AND
EVOLUTION 181
11.3 TEMPORAL LEIBNIZ SHIFTS 185
11.4
CHAPTER SUMMARY 186
12 REPARAMETERIZATION INVARIANT
DYNAMICS 187
12.1 JACOBI
ACTIONS
AS
GEODESIC PRINCIPLES
ON
CONFIGURATION SPACE
187
12.2 TOTAL ENERGY
AS A
CONSTANT
OF
MOTION
189
12.3 GENERALIZED HAMILTON-JACOBI FORMALISM 192
12.4
INTEGRALS
OF
MOTION
AND
COMPLETE OBSERVABLES
195
12.5 CHAPTER SUMMARY
200
13 TEMPORAL
STRUCTURE
REGAINED
201
13.1 DIFFERENTIATING DYNAMICAL REDUNDANCY
AND
EVOLUTION 201
13.2
A
DYNAMICAL
VIEW
OF
HAMILTONIAN
CONSTRAINTS 204
CONTENTS
XI
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
206
214
215
215
216
217
220
222
223
225
241 |
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| spelling | Gryb, Sean Verfasser (DE-588)1316762459 aut Time regained Volume 1 Symmetry and evolution in classical mechanics Sean Gryb (University of Groningen), Karim P.Y. Thébault (University of Bristol) Oxford, United Kingdom Oxford University Press [2024] xi, 243 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Literaturverzeichnis Seite [225]-240. - Index Thébault, Karim Verfasser (DE-588)118255475X aut (DE-604)BV049605290 1 Erscheint auch als Online-Ausgabe 10.1093/oso/9780198822066.001.0001 978-0-19-186117-8 Digitalisierung Deutsches Museum application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034949651&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzechnis |
| spellingShingle | Gryb, Sean Thébault, Karim Time regained Mechanik (DE-588)4038168-7 gnd Theoretische Physik (DE-588)4117202-4 gnd Zeit (DE-588)4067461-7 gnd |
| subject_GND | (DE-588)4038168-7 (DE-588)4117202-4 (DE-588)4067461-7 |
| title | Time regained |
| title_auth | Time regained |
| title_exact_search | Time regained |
| title_exact_search_txtP | Time regained |
| title_full | Time regained Volume 1 Symmetry and evolution in classical mechanics Sean Gryb (University of Groningen), Karim P.Y. Thébault (University of Bristol) |
| title_fullStr | Time regained Volume 1 Symmetry and evolution in classical mechanics Sean Gryb (University of Groningen), Karim P.Y. Thébault (University of Bristol) |
| title_full_unstemmed | Time regained Volume 1 Symmetry and evolution in classical mechanics Sean Gryb (University of Groningen), Karim P.Y. Thébault (University of Bristol) |
| title_short | Time regained |
| title_sort | time regained symmetry and evolution in classical mechanics |
| topic | Mechanik (DE-588)4038168-7 gnd Theoretische Physik (DE-588)4117202-4 gnd Zeit (DE-588)4067461-7 gnd |
| topic_facet | Mechanik Theoretische Physik Zeit |
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