On the emergence theme of physics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Publ.
2010
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | XII, 275 S. |
| ISBN: | 9789814291798 981429179X 9789814304825 9814304824 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804143122220843008 |
|---|---|
| adam_text | Contents
Preface
ix
Chapter
1.
SOME QUANTUM BACKGROUND
1
1.
deBROGLIE-BOHM MECHANICS
1
1.1. SUBQUANTUM
THERMODYNAMICS
3
1.2.
FLUCTUATIONS AND FISHER INFORMATION
7
1.3.
THE QUANTUM EQUIVALENCE PRINCIPLE
-
QEP
12
2.
ON THE GUTZWILLER TRACE FORMULA
15
2.1.
PROPAGATORS, KERNELS, AND THE WIGNER FUNCTION
17
2.2.
REMARKS ON THE TRACE FORMULA
18
2.3.
COHERENT STATES AND THE TRACE FORMULA
20
2.4.
SOME MATHEMATICAL VARIATIONS
26
3.
MORE ON METAPLECTIC TECHNIQUES
32
Chapter
2.
SOME GEOMETRIC ASPECTS
37
1.
INTRODUCTION
37
2.
REMARKS ON WEYL GEOMETRY
39
3.
EMERGENCE OF
Q
IN GEOMETRY
44
3.1.
QUANTUM POTENTIAL AS A DYNAMICAL FIELD
48
4.
OTHER GEOMETRIC ASPECTS
49
5.
THE QUANTUM POTENTIAL AND GEOMETRY
54
6.
CONFORMAL AND QUANTUM MASS
58
7.
RICCI
FLOW AND THE QUANTUM POTENTIAL
59
7.1.
EXPANSION
62
8.
REMARKS ON THE FRIEDMAN EQUATIONS
65
9.
ENHANCEMENT
67
10.
SOME HEURISTIC RESULTS
71
Chapter
3.
ASPECTS OF EMERGENCE
75
1.
INTRODUCTION
75
2.
SOME CLASSICAL QUANTUM RELATIONS
77
3.
NC FIELDS AND GRAVITY
82
3.1.
REVIEW OF SOME IDEAS
85
4.
GERBES
AND STRUCTURE
87
Chapter
4.
KALUZA-KLEIN AND COSMOLOGY
95
1.
INTRODUCTION
95
2.
KALUZA-KLEIN THEORY
97
vi
CONTENTS
3.
INDUCED MATTER THEORY
99
4.
MORE ON ELECTROMAGNETISM
101
5.
5-D PHYSICS
102
6.
SOME QUANTUM CONNECTIONS
106
7.
REMARKS ON COSMOLOGY
108
8.
EXTENSIONS
110
8.1.
MORE EXAMPLES
114
Chapter
5.
REMARKS ON THERMODYNAMICS AND GRAVITY
121
1.
INTRODUCTION
121
1.1.
INFORMATION DYNAMICS
124
1.2.
ENTROPY AND THE EINSTEIN EQUATIONS
124
2.
HORIZONS, ENTROPY, AND ALL THAT
127
3.
THERMODYNAMICS AND FRW FORMATS
129
3.1.
METRICS FROM
(1) 129
3.2.
METRICS FROM
(3) 130
3.3.
METRICS FROM
(2) 133
4.
THE GEOMETRY OF THERMODYNAMICS
135
4.1.
UNIFIED LEGENDRE FORMS
138
5.
FRW FOLLOWING
(4)
AND
(5) 141
5.1.
HIGHER DERIVATIVE GRAVITIES
143
6.
THERMODYNAMICS AND QUANTUM GRAVITY
-
I
144
6.1.
THERMODYNAMICS OF THE UNIVERSE
153
7.
THERMODYNAMICS AND QUANTUM GRAVITY
-
II
154
7.1.
BOSON FIELDS AND QUANTIZATION
156
7.2.
FOCK SPACE CONSTRUCTIONS
157
8.
THERMODYNAMICS AND QUANTUM GRAVITY
-
III
159
8.1.
QUANTUM COSMOLOGY
160
8.2.
PARTIAL SUMMARY
. 162
Chapter
6.
GEOMETRY AND MECHANICS
167
1.
MORE ON EMERGENCE
167
1.1.
FLUCTUATIONS AND DISSIPATION
172
1.2.
PREQUANTIZATION AND BORN S RULE
173
2.
QUANTUM MECHANICS, GRAVITY, AND
RICCI
FLOW
176
3.
THERMODYNAMICS, GRAVITY, AND QUANTUM THEORY
184
3.1.
GEOMETRIC FLOWS AND ENTROPY
185
4.
MORE ON GRAVITATION
191
5.
BLACK HOLES AND THERMODYNAMICS
196
Chapter
7.
ON TIME AND THE UNIVERSE
205
1.
TIME
205
2.
SPACETIME, MATHEMATICS, AND PHYSICS
211
3.
NON-COMMUTATIVE GEOMETRY
216
4.
MORE ON FUNDAMENTAL MATTERS
219
4.1.
NC GEOMETRY, GRAVITY, AND STRINGS
219
4.2.
TIME AND GEOMETRY
221
CONTENTS
vii
Chapter
8.
GRAVITY AND THE QUANTUM POTENTIAL
225
1.
INTRODUCTION
225
2.
BACKGROUND
226
3.
QEP AND GRAVITY
230
3.1.
WEYL GEOMETRY AND THE QUANTUM POTENTIAL
235
4.
ON THE KLEIN-GORDON EQUATION
238
4.1.
ENHANCEMENT
241
5.
QUANTIZATION
243
Bibliography
247
Index
271
ON THE
Emergence Theme of Physics
The book surveys mathematical relations between classical and quantum
mechanics, gravity, time and thermodynamics from various points of view
and many sources (with appropriate attribution). The emergence theme is
developed with an emphasis on the meaning via mathematics. A background
theme of Bohemian mechanics and connections to the quantum equivalence
principle of Matone
et al.
is also developed in great detail Some original
work relating the quantum potential and
Ricci
flow is also included
|
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| id | DE-604.BV036550229 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:42:38Z |
| institution | BVB |
| isbn | 9789814291798 981429179X 9789814304825 9814304824 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-020471803 |
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| physical | XII, 275 S. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
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| publisher | World Scientific Publ. |
| record_format | marc |
| spelling | Carroll, Robert Wayne 1930- Verfasser (DE-588)123067669 aut On the emergence theme of physics Robert Carroll Singapore World Scientific Publ. 2010 XII, 275 S. txt rdacontent n rdamedia nc rdacarrier Astronomie (DE-588)4003311-9 gnd rswk-swf Geometrische Methode (DE-588)4156715-8 gnd rswk-swf Quantenphysik (DE-588)4266670-3 gnd rswk-swf Quantenphysik (DE-588)4266670-3 s Astronomie (DE-588)4003311-9 s Geometrische Methode (DE-588)4156715-8 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020471803&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020471803&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Carroll, Robert Wayne 1930- On the emergence theme of physics Astronomie (DE-588)4003311-9 gnd Geometrische Methode (DE-588)4156715-8 gnd Quantenphysik (DE-588)4266670-3 gnd |
| subject_GND | (DE-588)4003311-9 (DE-588)4156715-8 (DE-588)4266670-3 |
| title | On the emergence theme of physics |
| title_auth | On the emergence theme of physics |
| title_exact_search | On the emergence theme of physics |
| title_full | On the emergence theme of physics Robert Carroll |
| title_fullStr | On the emergence theme of physics Robert Carroll |
| title_full_unstemmed | On the emergence theme of physics Robert Carroll |
| title_short | On the emergence theme of physics |
| title_sort | on the emergence theme of physics |
| topic | Astronomie (DE-588)4003311-9 gnd Geometrische Methode (DE-588)4156715-8 gnd Quantenphysik (DE-588)4266670-3 gnd |
| topic_facet | Astronomie Geometrische Methode Quantenphysik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020471803&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020471803&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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