The Nature of Space and Time
by Stephen Hawking, Roger Penrose
Publisher: arXiv 1994
Number of pages: 62
In these lectures Stephen Hawking and Roger Penrose put forward their related but rather different viewpoints on the nature of space and time. They speak alternately and give three lectures each, followed by a discussion on their different approaches. These are technical lectures, a basic knowledge of general relativity and quantum theory is assumed.
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by Bryce S. DeWitt, Giampiero Esposito - arXiv
The reader is introduced to the functional integral quantization of gravitation and Yang-Mills theory. The text is useful for all Ph.D. students who face the task of learning some basic concepts in quantum gravity in a relatively short time.
by Gerald Kaiser - University of Massachusetts at Lowell
A new synthesis of the principles of quantum mechanics and Relativity is proposed in the context of complex differential geometry. The positivity of the energy implies that wave functions and fields can be extended to complex spacetime.
by Rodrigo Sobreiro - InTech
This book presents a series of selected chapters written by renowned authors. Each chapter treats gravity and its quantization through known and alternative techniques, aiming a deeper understanding on the quantum nature of gravity.
by Arlen Anderson - arXiv
Quantum canonical transformations are defined algebraically. This generalizes the quantum canonical transformations to include non-unitary transformations. Their importance for constructing solutions of the Schroedinger equation is discussed.