Quantum gravity

The fundamental Physics of the 20th century was constructed basically from two main theories, general relativity and quantum theory. The later allowed the construction of the standard model which describes three of the four known fundamental interactions in Nature, the exception being the gravity interaction. Unfortunately, general relativity and quantum theory have not been unified into a single coherent description of gravity in the microscopic level yet. The gravity quantization problem exists for almost one century and the final answer is yet unknown.
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The development of quantum mechanics has taken physics in a vastly new direction from that of classical physics from the very start. In fact, there continue at present to be many developments in the subject of a very fundamental nature, such as implications for the foundations of physics, physics of entanglement, geometric phases, gravity and cosmology and elementary particles as well. It is hoped the papers in this volume will provide a much needed resource for researchers with regard to current topics of research in this growing area....
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Orbis Scientiae 1999 constitutes the 28th conference on High Energy Physics and Cosmology that were begun in 1964. It has now become an institution by itself under the aegis of which the physicists convene annually in South Florida. It created a Belle Époque in Coral Gables. The series of Orbis Scientiae started with the participants of highest distinction in physics of the 20th Century. After its first two decades the conferences have been placed in the hands of younger and promising physicists....
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The vacuum is fast emerging as the central structure of modern physics. This collection brings together philosophicallyminded specialists who engage these issues in the context of classical gravity, quantum electrodynamics, and the grand unification program. The vacuum emerges as the synthesis of concepts of space, time, and matter; in the context of relativity and the quantum this new synthesis represents a structure of the most intricate and novel complexity.
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Random matrices are widely and successfully used in physics for almost 6070 years, beginning with the works of Wigner and Dyson. Initially proposed to describe statistics of excited levels in complex nuclei, the Random Matrix Theory has grown far beyond nuclear physics, and also far beyond just level statistics. It is constantly developing into new areas of physics and mathematics, and now constitutes a part of the general culture and curriculum of a theoretical physicist.
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The concepts and methods of topology and geometry are an indispensable part of theoretical physics today. They have led to a deeper understanding of many crucial aspects in condensed matter physics, cosmology, gravity, and particle physics. Moreover, several intriguing connections between only apparently disconnected phenomena have been revealed based on these mathematical tools. Topological and geometrical considerations will continue to play a central role in theoretical physics.
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The scattering amplitudes for two spineless particles colliding at Planckian centerofmass energies are considered by the partial wave method in quantum gravity. In the framework of the partial method, a scheme for finding the leading eikonal scattering amplitudes is developed and constructed. The connection between the solutions obtained by partial wave method, quasipotential and functional approaches is also discussed.
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The Committee on Gravitational Physics (CGP) was organized by the National Research Council’s (NRC’s) Board on Physics and Astronomy (BPA) as part of the decadal survey Physics in a New Era. The committee’s main charges were (1) to assess the achievements in gravitational physics over the last decade and (2) to identify the most promising opportunities for research in the next decade and describe the resources necessary to realize those opportunities. This report fulfills those charges.
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