The structural foundations of quantum gravity:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Oxford
Clarendon Press
2006
Oxford University Press |
| Edition: | 1. publ. |
| Subjects: | |
| Online Access: | Publisher description Table of contents only Inhaltsverzeichnis |
| Physical Description: | XII, 270 S. graph. Darst. |
| ISBN: | 9780199269693 0199269696 |
Staff View
MARC
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Record in the Search Index
| _version_ | 1804137298667765760 |
|---|---|
| adam_text | Contents
Notes
on Contributors
1. Quantum
Gravity Meets Structuralism: Interweaving Relations
in the Foundations of Physics
1
Dean RickUs and Steven French
1.1
Quantum Gravity: Background, Concepts, and Methods
1
1.1.1
The Hole Argument and Spacetdme Ontology
2
1.1.2
Gauging the Hole Argument
4
1.1.3
Enter Quantum Gravity
7
1.1.4
Categorizing the Manifold Methods
14
1.1.5
What s Wrong with Background-Dependent Methods?
16
1.1.6
What s Right about Background-Independent Methods?
18
1.1.7
Background Independence and Structuralism
20
1.2
Structuralism and Structural Realism
25
1.2.1
Motivating Structuralism
25
1.2.2
What is Structuralism?
25
1.2.3 ...
and Where Does it Come from?
26
1.2
A Structural Realism
30
2.
Structural Realism and Quantum Gravity
40
Tian
Yu Coo
2.1
Structural Realism
41
2.2
Physical Reality of Spacetime and Quantum Fields
43
2.3
Quantum Gravity
47
3.
Structure, Individuality, and Quantum Gravity
53
John
Stachel
3.1
What is Structural Realism?
53
3.2
Structure and Individuality
55
3.3
Effective Field Theory and Asymptotic Quantization
60
3.4
String Theory
63
3.5
Quantum General Relativity: Some Preliminary Problems
65
3.5.1
States or Processes: Which is Primary?
65
3.5.2
Formalism and Measurability
68
3.6
Canonical Quantization (Loop Quantum Gravity)
71
3.7
The Causal Set (Causer) Approach
75
3.8
What Structures to Quantize?
77
viii Contents
4.
Points, Particles, and Structural Realism
83
Oliver Pooley
4.1
What is Structural Realism?
84
4.2
Underdetermination
86
4.3
What
и
Ontic
Structural Realism?
91
4.4
Objects
94
4.5
Sophisticated Substantivalism
99
4.6
Stacheľs
Generalized Hole Argument for Sets
104
4.7 Stachel
on Identical Particles
109
4.8
Identical Particles and Identity over Time
114
4.9
Two Morals for Quantum Gravity
116
5.
Holism and Structuralism in Classical and Quantum
General Relativity
121
Mauro Dorato
and Massimo
P
auri
5.1
Introduction: Two Strands of Philosophy of Physics
that Ought to be Brought together
121
5.2
Many Realisms or One?
123
5.2.1
What, Exactly, is a Physical Structure?
124
5.3
A Case Study. The Holistic and Structural Nature
of General-Relativistic Spacetime in a Class of Models of GR
126
5.3.1
The Hole Argument and its Consequences
126
5.3.2
The Dynamical Individuation of Point-Events
130
5.4
Developing Hints for the Quantum Gravity Programme
140
5.5
Structural Spacetime Realism
144
5.5.1
The Nature of Point-Events and Overcoming
the Substantivalism/Relarionism Debate
145
6.
Time and Structure in Canonical Gravity
152
Dean RickUs
6.1
Introduction
152
6.2
Constraints, Gauge, and Holes
153
6.2.1
Hamiltoman Systems: Constraints and Gauge
154
6.2.2
Constraints and Gauge in General Relativity
157
6.2.3
Interpreting Gauge Theories
159
6.3
What is the Problem of Time?
163
6.4
A Snapshot of the Philosophical Debate
166
6.4.1
Time Series from A to
D
167
6.4.2
Maudlin versus
Karman
171
6.5
Catalogue of Responses
175
6.5.1
TimefuU Stratagems
176
6.5.2
Timeless Stratagems
179
6.6
Enter Structuralism
188
6.7
Conclusion
191
Contents ix
7.
The Case for Background Independence
196
Lee Smolin
7.1
Introduction
196
7.2
A Brief History of Relational Time
200
7.3
What Physicists Mean When We Talk about Relational
Space and Time
203
7.4
General Relativity as a Partly Relational Theory
204
7.4.1
The Problem of Time and Related Issues
207
7.5
Relationalism and the Search for the Quantum Theory of Gravity
209
7.5.1
The Causal Set Theory
210
7.5.2
Loop Quantum Gravity
212
7.5.3
Causal Dynamical
Triangulation
Models
216
7.5.4
Background-Independent Approaches to String
and
M
Theory
217
7.6
Relationalism and Reductionism
219
7.6.1
The Challenge of the String Theory Landscape
223
7.7
A Relational Approach to the Problems of Unification
and Determination of the Standard Model Parameters
226
7.8
Relationalism and Natural Selection
227
7.9
What about the Cosmological Constant Problem?
229
7.10
The Issue of Extending Quantum Theory to Cosmology
230
7.10.1
Relational Approaches to Quantum Cosmology
230
7.10.2
Relational Approaches to Going beyond Quantum Theory
232
7.11
Conclusions
233
8.
Quantum Quandaries: A Categpry-Theoretic Perspective
240
JohnBaez
8.1
Introduction 240
8.2
Lessons from Topological Quantum Field Theory
244
8.3
The ^Category of Hubert Spaces 249
8.4
The Monoidal Category of Hilbert Spaces
254
8.5
Conclusions
261
Index
267
|
| adam_txt |
Contents
Notes
on Contributors
1. Quantum
Gravity Meets Structuralism: Interweaving Relations
in the Foundations of Physics
1
Dean RickUs and Steven French
1.1
Quantum Gravity: Background, Concepts, and Methods
1
1.1.1
The Hole Argument and Spacetdme Ontology
2
1.1.2
Gauging the Hole Argument
4
1.1.3
Enter Quantum Gravity
7
1.1.4
Categorizing the Manifold Methods
14
1.1.5
What's Wrong with Background-Dependent Methods?
16
1.1.6
What's Right about Background-Independent Methods?
18
1.1.7
Background Independence and Structuralism
20
1.2
Structuralism and Structural Realism
25
1.2.1
Motivating Structuralism
25
1.2.2
What is Structuralism?
25
1.2.3 .
and Where Does it Come from?
26
1.2
A Structural Realism
30
2.
Structural Realism and Quantum Gravity
40
Tian
Yu Coo
2.1
Structural Realism
41
2.2
Physical Reality of Spacetime and Quantum Fields
43
2.3
Quantum Gravity
47
3.
Structure, Individuality, and Quantum Gravity
53
John
Stachel
3.1
What is Structural Realism?
53
3.2
Structure and Individuality
55
3.3
Effective Field Theory and Asymptotic Quantization
60
3.4
String Theory
63
3.5
Quantum General Relativity: Some Preliminary Problems
65
3.5.1
States or Processes: Which is Primary?
65
3.5.2
Formalism and Measurability
68
3.6
Canonical Quantization (Loop Quantum Gravity)
71
3.7
The Causal Set (Causer) Approach
75
3.8
What Structures to Quantize?
77
viii Contents
4.
Points, Particles, and Structural Realism
83
Oliver Pooley
4.1
What is Structural Realism?
84
4.2
Underdetermination
86
4.3
What
и
Ontic
Structural Realism?
91
4.4
Objects
94
4.5
Sophisticated Substantivalism
99
4.6
Stacheľs
Generalized Hole Argument for Sets
104
4.7 Stachel
on Identical Particles
109
4.8
Identical Particles and Identity over Time
114
4.9
Two Morals for Quantum Gravity
116
5.
Holism and Structuralism in Classical and Quantum
General Relativity
121
Mauro Dorato
and Massimo
P
auri
5.1
Introduction: Two Strands of Philosophy of Physics
that Ought to be Brought together
121
5.2
Many'Realisms'or One?
123
5.2.1
What, Exactly, is a Physical Structure?
124
5.3
A Case Study. The Holistic and Structural Nature
of General-Relativistic Spacetime in a Class of Models of GR
126
5.3.1
The Hole Argument and its Consequences
126
5.3.2
The Dynamical Individuation of Point-Events
130
5.4
Developing Hints for the Quantum Gravity Programme
140
5.5
Structural Spacetime Realism
144
5.5.1
The Nature of Point-Events and Overcoming
the Substantivalism/Relarionism Debate
145
6.
Time and Structure in Canonical Gravity
152
Dean RickUs
6.1
Introduction
152
6.2
Constraints, Gauge, and Holes
153
6.2.1
Hamiltoman Systems: Constraints and Gauge
154
6.2.2
Constraints and Gauge in General Relativity
157
6.2.3
Interpreting Gauge Theories
159
6.3
What is the Problem of Time?
163
6.4
A Snapshot of the Philosophical Debate
166
6.4.1
Time Series from A to
D
167
6.4.2
Maudlin versus
Karman
171
6.5
Catalogue of Responses
175
6.5.1
TimefuU Stratagems
176
6.5.2
Timeless Stratagems
179
6.6
Enter Structuralism
188
6.7
Conclusion
191
Contents ix
7.
The Case for Background Independence
196
Lee Smolin
7.1
Introduction
196
7.2
A Brief History of Relational Time
200
7.3
What Physicists Mean When We Talk about Relational
Space and Time
203
7.4
General Relativity as a Partly Relational Theory
204
7.4.1
The Problem of Time and Related Issues
207
7.5
Relationalism and the Search for the Quantum Theory of Gravity
209
7.5.1
The Causal Set Theory
210
7.5.2
Loop Quantum Gravity
212
7.5.3
Causal Dynamical
Triangulation
Models
216
7.5.4
Background-Independent Approaches to String
and
M
Theory
217
7.6
Relationalism and Reductionism
219
7.6.1
The Challenge of the String Theory Landscape
223
7.7
A Relational Approach to the Problems of Unification
and Determination of the Standard Model Parameters
226
7.8
Relationalism and Natural Selection
227
7.9
What about the Cosmological Constant Problem?
229
7.10
The Issue of Extending Quantum Theory to Cosmology
230
7.10.1
Relational Approaches to Quantum Cosmology
230
7.10.2
Relational Approaches to Going beyond Quantum Theory
232
7.11
Conclusions
233
8.
Quantum Quandaries: A Categpry-Theoretic Perspective
240
JohnBaez
8.1
Introduction 240
8.2
Lessons from Topological Quantum Field Theory
244
8.3
The ^Category of Hubert Spaces 249
8.4
The Monoidal Category of Hilbert Spaces
254
8.5
Conclusions
261
Index
267 |
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| id | DE-604.BV023060967 |
| illustrated | Illustrated |
| index_date | 2024-07-02T19:28:45Z |
| indexdate | 2024-07-09T21:10:04Z |
| institution | BVB |
| isbn | 9780199269693 0199269696 |
| language | English |
| lccn | 2007296588 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016264212 |
| oclc_num | 70985417 |
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| owner | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-188 |
| owner_facet | DE-91G DE-BY-TUM DE-355 DE-BY-UBR DE-188 |
| physical | XII, 270 S. graph. Darst. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Clarendon Press Oxford University Press |
| record_format | marc |
| spelling | The structural foundations of quantum gravity edited by Dean Rickles... 1. publ. Oxford Clarendon Press 2006 Oxford University Press XII, 270 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Quantum gravity Quantengravitation (DE-588)4124012-1 gnd rswk-swf Quantengravitation (DE-588)4124012-1 s DE-604 Rickles, Dean 1977- Sonstige (DE-588)1052674631 oth http://www.loc.gov/catdir/enhancements/fy0723/2007296588-d.html Publisher description http://www.loc.gov/catdir/enhancements/fy0723/2007296588-t.html Table of contents only Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016264212&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | The structural foundations of quantum gravity Quantum gravity Quantengravitation (DE-588)4124012-1 gnd |
| subject_GND | (DE-588)4124012-1 |
| title | The structural foundations of quantum gravity |
| title_auth | The structural foundations of quantum gravity |
| title_exact_search | The structural foundations of quantum gravity |
| title_exact_search_txtP | The structural foundations of quantum gravity |
| title_full | The structural foundations of quantum gravity edited by Dean Rickles... |
| title_fullStr | The structural foundations of quantum gravity edited by Dean Rickles... |
| title_full_unstemmed | The structural foundations of quantum gravity edited by Dean Rickles... |
| title_short | The structural foundations of quantum gravity |
| title_sort | the structural foundations of quantum gravity |
| topic | Quantum gravity Quantengravitation (DE-588)4124012-1 gnd |
| topic_facet | Quantum gravity Quantengravitation |
| url | http://www.loc.gov/catdir/enhancements/fy0723/2007296588-d.html http://www.loc.gov/catdir/enhancements/fy0723/2007296588-t.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016264212&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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