Description
This book is a compilation of papers on the interaction between geometry and physics. It includes papers on topics such as classical differential geometry and non-commutative geometry, knot invariants, and the applications of gauge theory. There are also papers on applied mathematics, such as integrable systems and general relativity. There are also papers on experimental and theoretical physics, such as quantum gravity, the foundations of quantum mechanics, and quasi-crystals and astrophysics. Finally, there are papers on quantum computation, quantum cryptography, and the possible role of micro-tubules in a theory of consciousness.
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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