Quantum fluctuations of spacetime /
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| Author / Creator: | Crowell, Lawrence B. |
|---|---|
| Imprint: | New Jersey ; London : World Scientific, 2005. |
| Description: | xi, 373 p. : ill. ; 26 cm. |
| Language: | English |
| Series: | World Scientific series in contemporary chemical physics ; v. 25 |
| Subject: | Quantum theory. Space and time. Quantum theory. Space and time. |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5900648 |
Table of Contents:
- Preface
- Chapter 1. Why Quantum Fluctuations of Spacetime?
- 1.1. Quantum Fluctuations and Spacetime
- 1.2. Detecting Quantum Gravity Fluctuations
- 1.3. Connections to Strings and Membranes
- 1.4. Beyond Standard Constructions
- Chapter 2. Quantum Fluctuations and Spacetime
- 2.1. Introduction
- 2.2. Fluctuations in Quantum Mechanics
- 2.3. ADM Relativity, the Wheeler-DeWitt Equation and Torsional Flucutations
- 2.4. Thermalized Torsional Fluctuations
- 2.5. Squeezed States, Wormholes and Nascent Cosmologies
- 2.6. Spacetime Fluctuations and Wormholes
- 2.7. The Geometry of Quantum Mechanics
- 2.7.1. Projective Structure in Spacetime and Quantum Mechanics
- 2.7.2. Bell's Inequality, Metrics and Expectation
- 2.7.3. The Hibert Space CP[superscript 2] and Lorentz Group PSO(5, 1)
- 2.7.4. Quantum Geometry and Extended Field Theories
- 2.8. Quantum Computing Backwards in Time and P [subset or is implied by] NP
- 2.9. Summary on Spacetime Fluctuations
- Chapter 3. Detection of Quantum Gravity Fluctuations
- 3.1. Can Quantum Gravity Be Experimentally Tested?
- 3.2. Atomic Detection of Quantum Spacetime Fluctuations
- 3.3. Detecting Virtual Black Holes
- 3.4. Quantum Optical Detection of Quantum Gravity Induced Decoherence
- 3.5. Ring Gyro Test of the Holographic Principle
- 3.6. Measurement of Unruh-Hawking Physics with Bose-Einstein Condensates
- 3.7. Testing Gravitational Squeezing of the Vacuum State
- 3.8. Cosmological Gravity Waves
- 3.9. The Universe as a [Sigma](all) = 0
- Chapter 4. Quantum Gravity Fluctuations, Strings and Two Dimensional D-Branes
- 4.1. Quantum Gravity Fluctuations in Modern Physics
- 4.2. Finite Temperature Theory of Rotating Strings
- 4.3. Nonlinear Spacetime Transformations, Quantum Theory and Gravity
- 4.4. Overview of Basic Topological Field Theory
- 4.5. Supersymmetry and Cohomology of the Horizon Algebra
- 4.6. Moduli Space Constructions of horizons
- 4.7. Brane Dynamics and Black Holes
- 4.8. Supersymmetric Moduli Space
- 4.9. Moduli Spaces With Non-Hausdorff Zariski Topology
- 4.10. Modularity and Fractal Aspects of Moduli with Zariski Topology
- 4.11. Julia Sets and NonHausdorff Measures over Moduli Spaces
- Chapter 5. Topology, Extra Large Dimensions and the Higgs Field
- 5.1. Extra Dimensions and the Horizon D2-Brane and D5-Brane
- 5.2. Time Symmetry and Violations of Topological Quantum Numbers
- 5.3. TEV Physics From D-Branes and the Higgs Field
- 5.4. Quantum Group Structure With Ricci Flows and Three-Manifold Surgery
- Chapter 6. Zeta Functions, Topological Quantum Numbers and M-Theory
- 6.1. Wrapped Spaces and Internal Symmetries
- 6.2. Instantons Between String Types, Topology, and Vacuum Ambiguity
- 6.3. String Types, M-Theory and Octonions
- Chapter 7. The Generalized Uncertainty Principle
- 7.1. The Vacuum Problem
- 7.2. Differential Structure of Fields in Spacetime
- 7.3. Nonlocalizability of Energy and Noncommutative Geometry
- 7.4. Quantization of Fields in Spacetime and Noncommutative Geometry
- 7.5. Connections to One-Loop Quantum Gravity
- 7.6. The Noncommutative Algebra
- 7.7. General Relativity and Quantum Mechanics as Subsets of a Single Theory
- 7.8. A Proposed General Mathematics for the B* Algebra
- 7.9. Concluding Words
- Chapter 8. Octonionic Quantum Gravity
- 8.1. Algebra and Basis Elements
- 8.2. Triality and Right/Left Eigenvectors Over O
- 8.3. Quantum Mechanical Interpretation
- 8.4. Eigenvalues, Clifford Algebras and Quaternions
- 8.5. Holographic Principle from the Quantum Theory of Spin
- 8.6. Associative and Co-Associative SubAlgebra and Spacetime
- 8.7. Polyhedra and Jordan Algebraic Representations of Octonions
- 8.8. Nonassociative Fields and Topological Supersymmetry
- 8.9. Bohr's Gravitization of the Quantum
- 8.10. Quantum Black Holes as Strings and Error Correction Algorithms
- 8.11. Quantum States for Hamming and Golay Error Correction Codes
- 8.12. Phase Structure of Black Holes
- 8.13. Higher Polyhedral Representations
- Chapter 9. Physical Law from No Law
- 9.1. Universal Computation In Quantum Cosmology and the Decidability of Cosmic Censorship
- 9.2. PreGeometry and Mathematical Undecidability
- 9.3. Recovering Geometry From PreGeometry
- 9.4. Godel's Theorem In Quantum Mechanics
- 9.5. The Anthropic Cosmological Principle? - Maybe
- Index
