Introduction |
|
ix | |
|
1 Spacetime emergence and metaphysical explanation in fundamental physics |
|
|
1 | (16) |
|
1.1 Emergence in what sense? Finding some bearings in a variegated philosophical landscape |
|
|
1 | (4) |
|
1.2 Spacetime emergence and non-causal metaphysical explanation in string physics |
|
|
5 | (3) |
|
1.3 No time for strings, nor space |
|
|
8 | (5) |
|
1.4 Some source of trust in string theory |
|
|
13 | (4) |
|
|
17 | (22) |
|
2.1 Some introductory remarks |
|
|
17 | (3) |
|
2.2 Two philosophical perspectives on classical strings worldsheets |
|
|
20 | (2) |
|
2.3 What is the action of a physical system? |
|
|
22 | (1) |
|
2.4 Classical action of a free particle |
|
|
23 | (2) |
|
2.5 Classical action of the bosonic string |
|
|
25 | (1) |
|
2.6 Symmetries of the classical string action: defining con formal symmetry |
|
|
26 | (3) |
|
|
29 | (4) |
|
2.8 Rods and clocks are useless on a quantum string worldsheet |
|
|
33 | (1) |
|
2.9 Brief description of some quantization procedures |
|
|
34 | (5) |
|
3 General relativistic spacetime emergence |
|
|
39 | (24) |
|
3.1 Sketch of the chapter |
|
|
39 | (2) |
|
3.2 General relativistic spacetime emergence - part I: how quantum string theory predicts the graviton |
|
|
41 | (4) |
|
3.3 General relativistic spacetime emergence - part II |
|
|
45 | (12) |
|
3.4 Conclusion: background independence of the perturbative formulation of the theory |
|
|
57 | (1) |
|
3.5 Appendix: what empirical prediction means in this context |
|
|
58 | (5) |
|
4 T-duality and emergence |
|
|
63 | (24) |
|
4.1 Emergent extra dimensions: some preliminary remarks |
|
|
63 | (1) |
|
4.2 Poincare's under determination problem |
|
|
64 | (4) |
|
4.3 T-duality. Mathematical features and philosophical implications |
|
|
68 | (19) |
|
5 Holographic duality and emergence |
|
|
87 | (12) |
|
|
87 | (2) |
|
5.2 AdS/CFT correspondence: holographic space |
|
|
89 | (3) |
|
5.3 Deconstructing spacetime emergence in holography |
|
|
92 | (7) |
|
6 String theory's background independence explained through the theory's moduli space |
|
|
99 | (22) |
|
6.1 Sketch of the view pursued |
|
|
99 | (3) |
|
6.2 Spacetime metaphysics within the string physics |
|
|
102 | (9) |
|
6.3 Encoding dynamics: background independence |
|
|
111 | (4) |
|
6.4 Duality without preservation of topological invariants |
|
|
115 | (2) |
|
6.5 Are deformation of laws more fundamental than laws? |
|
|
117 | (4) |
|
7 Spacetime emergence via non-commutative quantum string theory |
|
|
121 | (16) |
|
7.1 Is causality still in the theory? |
|
|
121 | (8) |
|
7.2 Space-time uncertainty principle in quantum string theory |
|
|
129 | (3) |
|
|
132 | (5) |
Bibliography |
|
137 | (4) |
Index |
|
141 | |