This book mathematically derives the theory underlying the Belinski-Khalatnikov-Lifshitz conjecture on the general solution of the Einstein equations with a cosmological singularity.
The almost irresistible beauty of string theory has seduced many theoretical physicists in recent years. Even hardened men have been swept away by what they can already see and by the promise of even more. It would appear fair to say that it is not yet clear what form the theory will finally take and in what precise way it will relate to the physical world. However, it would seem equally fair to state that, most likely, strings are here to stay and will playa profound and central role in our conception of the universe. There is therefore a pressing need to provide both practicing physicists and advanced students with ways to master quickly, but soundly, the basic principles of the theory. The present volume is a step in that direction. It contains a lucid presentation of the basic principles of string theory in forms which may survive future developments. The book is an outgrowth of lectures given by Lars Brink and Marc Henneaux at the Centro de Estudios Cientificos de Santiago. The lectures covered in a self-contained manner different but complementary aspects of the foundations of string theory.
La théorie de la gravitation d'Einstein ("relativité générale") est un des piliers de la physique moderne. Cette théorie a connu des développements spectaculaires ces dernières années, aussi bien sur le plan expérimental que sur le plan théorique. En particulier, la théorie des cordes, née il y a une quinzaine d'années, offre des perspectives remarquables d'unification de la force gravitationnelle aux autres forces fondamentales - réalisant ainsi un des vieux rêves d'Einstein. Cet ouvrage rassemble les contributions des experts mondiaux du domaine ayant participé au colloque Francqui qui s'est tenu sur ce thème à Bruxelles du 19 au 21 octobre 2001. Einstein theory of gravity is one of the pillars of modern physics. In the last years, this theory has undergone dramatic developments, both on the experimental and theoretical sides. In particular, string theory, which started in the last quarter of the XXth century, offers remarkable prospects to unify all the fundamental interactions - realizing thereby one of the Einstein's dreams. This book contains the contributions of the world leaders in the field who took part in the "Francqui conference" held on this theme in Brussels in October 2001.
Ever since 1911, the Solvay Conferences have shaped modern physics. The 23rd edition, chaired by 2004 Nobel Laureate David Gross, did not break with that tradition. It gathered most of the leading figures working on the central problem of reconciling EinsteinOCOs theory of gravity with quantum mechanics. These proceedings give a broad overview with unique insight into the most fundamental issues raised by this challenge for 21st century physics, by distinguished renowned scientists. The contributions cover: the status of quantum mechanics, spacetime singularities and breakdown of classical space and time, mathematical structures underlying the most promising attempts under current development, spacetime as an emergent concept, as well as cosmology and the cosmological constant puzzle. A historical overview of the Solvay conferences by historian of sciences Peter Galison opens the volume. In the Solvay tradition, the volume also includes the discussions among the participants OCo many of which were quite lively and illustrate dramatically divergent points of view OCo carefully edited and reproduced in full.
This collection of invited lectures (at the Conference on Secondary Calculus and Cohomological Physics, Moscow, 1997) reflects the state-of-the-art in a new branch of mathematics and mathematical physics arising at the intersection of geometry of nonlinear differential equations, quantum field theory, and cohomological algebra. This is the first comprehensive and self-contained book on modern quantum field theory in the context of cohomological methods and the geometry of nonlinear PDEs.
The Proceedings of the 24th International Solvay Conference on Chemistry comprise contributed short personal statements and transcripts of in-depth discussions on "Catalysis in Chemistry and Biology" from a by-invitation-only select group of 48 eminent scientists, including four Nobel Laureates, from all parts of the world. The theme of the conference was presented in six sessions, along which the Proceedings are organized. The first session on "Homogeneous Catalysis," chaired by Professor Robert Grubbs, is devoted to basic research on catalysis in homogeneous solutions and applications thereof. "Heterogeneous Catalysis and Characterization of Catalyst Surfaces," chaired by Professor Gerhard Ertl, includes extensive references to industrial applications of catalysis on solid supports, and discussions on the experimental techniques used in this field. "Catalysis by Microporous Materials," chaired by Professor Mark E. Davis, is devoted to a detailed characterization of this particular class of solid support catalysts, with special emphasis on model analysis of the processes catalyzed by these materials. "Catalysis under Extreme Conditions: Studies at High Pressure and High Temperatures -- Relations with Processes in Nature," chaired by Professor Henk N W Lekkerkerker, broadens the scope of the two preceding sessions with exciting illustrations. The sessions on "Catalysis by Protein Enzymes," chaired by Prof. JoAnne Stubbe, and "Catalysis by Ribozymes in Molecular Machines," chaired by Prof. David Lilley, present at the same time an exciting extension of and a contrast to the initial four sessions. The combination of the six sessions provides an impressive overview, giving innovative insights into relationships between catalysis in chemical processes and in biological systems, and a unique outlook to anticipated developments in the coming years and the more distant future."--Publisher's website.
Written for researchers focusing on general relativity, supergravity, and cosmology, this is a self-contained exposition of the structure of the cosmological singularity in generic solutions of the Einstein equations, and an up-to-date mathematical derivation of the theory underlying the Belinski–Khalatnikov–Lifshitz (BKL) conjecture on this field. Part I provides a comprehensive review of the theory underlying the BKL conjecture. The generic asymptotic behavior near the cosmological singularity of the gravitational field, and fields describing other kinds of matter, is explained in detail. Part II focuses on the billiard reformulation of the BKL behavior. Taking a general approach, this section does not assume any simplifying symmetry conditions and applies to theories involving a range of matter fields and space-time dimensions, including supergravities. Overall, this book will equip theoretical and mathematical physicists with the theoretical fundamentals of the Big Bang, Big Crunch, Black Hole singularities, the billiard description, and emergent mathematical structures.
Ever since 1911, the Solvay Conferences have shaped modern physics. The 23rd edition, chaired by 2004 Nobel Laureate David Gross, did not break with that tradition. It gathered most of the leading figures working on the central problem of reconciling EinsteinOCOs theory of gravity with quantum mechanics. These proceedings give a broad overview with unique insight into the most fundamental issues raised by this challenge for 21st century physics, by distinguished renowned scientists. The contributions cover: the status of quantum mechanics, spacetime singularities and breakdown of classical space and time, mathematical structures underlying the most promising attempts under current development, spacetime as an emergent concept, as well as cosmology and the cosmological constant puzzle. A historical overview of the Solvay conferences by historian of sciences Peter Galison opens the volume. In the Solvay tradition, the volume also includes the discussions among the participants OCo many of which were quite lively and illustrate dramatically divergent points of view OCo carefully edited and reproduced in full.
La théorie de la gravitation d'Einstein ("relativité générale") est un des piliers de la physique moderne. Cette théorie a connu des développements spectaculaires ces dernières années, aussi bien sur le plan expérimental que sur le plan théorique. En particulier, la théorie des cordes, née il y a une quinzaine d'années, offre des perspectives remarquables d'unification de la force gravitationnelle aux autres forces fondamentales - réalisant ainsi un des vieux rêves d'Einstein. Cet ouvrage rassemble les contributions des experts mondiaux du domaine ayant participé au colloque Francqui qui s'est tenu sur ce thème à Bruxelles du 19 au 21 octobre 2001. Einstein theory of gravity is one of the pillars of modern physics. In the last years, this theory has undergone dramatic developments, both on the experimental and theoretical sides. In particular, string theory, which started in the last quarter of the XXth century, offers remarkable prospects to unify all the fundamental interactions - realizing thereby one of the Einstein's dreams. This book contains the contributions of the world leaders in the field who took part in the "Francqui conference" held on this theme in Brussels in October 2001.
Marked by growing freedom and equality, today's families are also dogged by brokenness and loss of faith. And while the theology of marriage has developed remarkably under the impetus of the Second Vatican Council and Pope John Paul II, the theology of the family remains in its infancy, only beginning to meet the challenges of contemporary society. In Divine Likeness Marc Cardinal Ouellet points the way to a much-needed theology of the family grounded in the doctrine of the Trinity. Cardinal Ouellet understands family life to be a sacrament of Trinitarian communion, a crucial source for revealing and inspiring a new sense of God's presence in the faith community. This book will help theologians, pastors, and believers to develop fruitfully the legacy of Pope John Paul II, carrying forward the quest to let the Trinity and the family illuminate each other for the good of today's world.
First published in 1986 under the editorial direction of Dr. Henry J.M. Barnett, Stroke: Pathophysiology, Diagnosis, and Management continues to provide the dependable, current answers you need to effectively combat the increasing incidence of this disease. Dr. J.P. Mohr, together with new associate editors Philip A. Wolf, James C. Grotta, Michael A. Moskowitz, Marc Mayberg, and Rüdiger von Kummer as well as a multitude of expert contributors from around the world, offer you updated and expanded coverage of mechanisms of action of commonly used drugs, neuronal angiogenesis and stem cells, basic mechanisms of spasm and hemorrhage, prevention of stroke, genetics/predisposing risk factors, and much more, equipping you to understand the latest scientific discoveries and make effective use of the newest approaches to diagnosis and treatment. Gain fresh perspectives and up-to-date insights from the world’s leading authorities on the pathophysiology, diagnosis, and management of stroke. Access the comprehensive, expert clinical guidance you need to recognize the clinical manifestations of stroke, use the latest laboratory and imaging studies to arrive at a diagnosis, and generate an effective medical and surgical treatment plan. Make efficient and accurate diagnoses with the aid of abundant full-color CT images and pathology slides. Stay up to date on hot topics such as mechanisms of action of commonly used drugs, neuronal angiogenesis and stem cells, basic mechanisms of spasm and hemorrhage, prevention of stroke, genetics/predisposing risk factors, and much more.
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