The geometric universe : science, geometry, and the work of Roger Penrose
著者
書誌事項
The geometric universe : science, geometry, and the work of Roger Penrose
Oxford University Press, 1998
- : hbk
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注記
Includes bibliographical references
内容説明・目次
内容説明
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.
目次
- I. PLENARY LECTURES
- II. PARALLEL SESSION I: QUANTUM THEORY AND BEYOND
- III. PARALLEL SESSION II: GEOMETRY AND GRAVITY
- IV. PARALLEL SESSION III: FUNDAMENTAL QUESTIONS IN QUANTUM MECHANICS
- V. PARALLEL SESSION IV: MATHEMATICAL ASPECTS OF TWISTOR THEORY
- VI. AFTERWORD
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