Buch, Englisch, 450 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 837 g
Buch, Englisch, 450 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 837 g
ISBN: 978-0-19-850059-9
Verlag: Oxford University Press (UK)
This collection has been inspired by the work of Roger Penrose. It gives an overview of current work on the interaction between geometry and physics, from which many important developments in research have emerged. This volume collects together the contributions of many important researchers, including Sir Roger himself, and gives an overview of the many applications of geometrical ideas and techniques across mathematics and the physical sciences. From the area of pure mathematics papers are included on the topics of classical differential geometry and non-commutative geometry, knot invariants, and the applications of gauge theory. Contributions from applied mathematics cover the topics of integrable systems and general relativity. Current research in experimental and theoretical physics inspired chapters on string theory, quantum gravity, the foundations of quantum mechanics, quasi-crystals and astrophysics. The collection also includes articles on quantum computation, quantum cryptography and the possible role of micro-tubules in a theory of consciousness.
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Fachgebiete
Weitere Infos & Material
- I. PLENARY LECTURES
- 1: Roger Penrose - a personal appreciation
- 2: Hypercomplex manifolds and the space of framings
- 3: Gauge theory in higher dimensions
- 4: Noncommutative differential geometry and the structure of space-time
- 5: Einstein's equation and conformal structure
- 6: Twistors, geometry, and integrable systems
- 7: On four-dimensional Einstein manifolds
- 8: Loss of information in black holes
- 9: Fundamental geometry: the Penrose-Hameroff 'Orchor' model of consciousness
- 10: Implications of transience for spacetime structure
- 11: Geometric issues in quantum gravity
- 12: From quantum code-making to quantum code-breaking
- 13: Penrose tilings and quasicrystals revisited
- 14: Decaying neutrinos and the geometry of the universe
- 15: Quantum geometric origin of all forces in string theory
- 16: Space from the point of view of loop groups
- II. PARALLEL SESSION I: QUANTUM THEORY AND BEYOND
- 17: The twistor diagram programme
- 18: Geometric models for quantum statistical inference
- 19: Spin networks and topology
- 20: The physics of spin networks
- III. PARALLEL SESSION II: GEOMETRY AND GRAVITY
- 21: The Sen conjecture for distinct fundamental monopoles
- 22: An unorthodox view of CG via characteristic surfaces
- 23: Amalgamated Codazzi Raychaudhuri identity for foliation
- 24: Abstract/virtual/reality/complexity
- IV. PARALLEL SESSION III: FUNDAMENTAL QUESTIONS IN QUANTUM MECHANICS
- 25: Interaction-free measurements
- 26: Quantum measurement problem and the gravitational field
- 27: Entanglement and quantum computation
- V. PARALLEL SESSION IV: MATHEMATICAL ASPECTS OF TWISTOR THEORY
- 28: Penrose transform for flag domains
- 29: Twistor solution of the holonomy problem
- 30: The Penrose transform and real integral geometry
- 31: Pythagorean spinors and Penrose twistors
- VI. AFTERWORD
- 32: Afterword
