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Spinors are used extensively in physics. It is widely accepted that they are more fundamental than tensors, and the easy way to see this is through the results obtained in general relativity theory by using spinors -- results that could not have been obtained by using tensor methods only. The foundation of the concept of spinors is groups; spinors appear as representations of groups. This textbook expounds the relationship between spinors and representations of groups. As is well known, spinors and representations are both widely used in the theory of elementary particles. The authors present the origin of spinors from representation theory, but nevertheless apply the theory of spinors to general relativity theory, and part of the book is devoted to curved space-time applications. Based on lectures given at Ben Gurion University, this textbook is intended for advanced undergraduate and graduate students in physics and mathematics, as well as being a reference for researchers.
It is naturally important for any of us to have a correct view of the universe we are in. Having realized that the Newtonian world-view is untenable, this book joins others that are searching for an alternative world view. It is unique in using quantum physics to promote this search. One aim of the book is to present a lucid exposition of quantum mechanics in terms accessible to the general reader. Another aim is to show that realism (the belief that the outside world exists "from its own side" regardless of acts of consciousness) and locality (the belief that nothing moves faster than light) are invalid, and should be replaced by a new paradigm according to which the universe is alive. A third aim is to show that the thinking of quantum physicists evokes the philosophies of Plato and Plotinus. The second edition will include a conversation between two fictional characters to elucidate the discussion of the meaning of wave functions.
It is naturally important for any of us to have a correct view of the universe we are in. Having realized that the Newtonian world-view is untenable, this book joins others that are searching for an alternative world view. It is unique in using quantum physics to promote this search. One aim of the book is to present a lucid exposition of quantum mechanics in terms accessible to the general reader. Another aim is to show that realism (the belief that the outside world exists "from its own side" regardless of acts of consciousness) and locality (the belief that nothing moves faster than light) are invalid, and should be replaced by a new paradigm according to which the universe is alive. A third aim is to show that the thinking of quantum physicists evokes the philosophies of Plato and Plotinus. The second edition will include a conversation between two fictional characters to elucidate the discussion of the meaning of wave functions.
Spinors are used extensively in physics. It is widely accepted that they are more fundamental than tensors, and the easy way to see this is through the results obtained in general relativity theory by using spinors -- results that could not have been obtained by using tensor methods only. The foundation of the concept of spinors is groups; spinors appear as representations of groups. This textbook expounds the relationship between spinors and representations of groups. As is well known, spinors and representations are both widely used in the theory of elementary particles. The authors present the origin of spinors from representation theory, but nevertheless apply the theory of spinors to general relativity theory, and part of the book is devoted to curved space-time applications. Based on lectures given at Ben Gurion University, this textbook is intended for advanced undergraduate and graduate students in physics and mathematics, as well as being a reference for researchers.
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