New Releases by Roger Penrose

Can the quantum theory of fields and Einstein''s general theory of relativity be united in a single quantum theory of gravity? Can quantum and cosmos ever be combined? Two world-famous physicists debate the issue in this work, based on a series of lectures and a final debate held at the University of Cambridge. 75 line drawings.

For many decades, the proponents of `artificial intelligence'' have maintained that computers will soon be able to do everything that a human can do. In his bestselling work of popular science, Sir Roger Penrose takes us on a fascinating roller-coaster ride through the basic principles of physics, cosmology, mathematics, and philosophy to show that human thinking can never be emulated by a machine.

In this book, Roger Penrose presents a masterly summary of those areas of physics in which he feels there are major unsolved problems. These ideas are then challenged by three distinguished experts from different backgrounds - Abner Shimony and Nancy Cartwright as Philosophers of science and Stephen Hawking as a theoretical physicist and cosmologist. Finally, Roger Penrose responds to their thought-provoking criticisms. This paperback edition has been updated to include a striking and easily accessible example of Gödel''s theorem, and a ground-breaking proposal for a physical experiment designed to test some of Penrose''s most novel ideas about quantum mechanics. Penrose''s enthusiasm, insight and good humour shine through this accessible, illuminating, and brilliant account of 21st-century theoretical physics.

Presents the author''s thesis that consciousness, in its manifestation in the human quality of understanding, is doing something that mere computation cannot; and attempts to understand how such non-computational action might arise within scientifically comprehensive physical laws.

This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations. Many results are given here for the first time.