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The Algebra of Quantions: A Unifying Number System for Quantum Mechanics and Relativity - Tapa blanda

Grgin, Emile

 
9781420840360: The Algebra of Quantions: A Unifying Number System for Quantum Mechanics and Relativity
Tapa blanda
ISBN 10: 1420840363 ISBN 13: 9781420840360
Editorial: AuthorHouse, 2005

Sinopsis

Quantum mechanics and relativity have been in structural conflict for eighty years. This work shows that the incompatibility in question stems only from the assumption that their unification must be based on the field of complex numbers. Dropping this assumption, one can derive a simple mathematical structure which subsumes both theories as special cases. While the idea of generalizing the number system of quantum mechanics to make structural room for relativity is very old, no attempt has been successful in the past. The novelty brought out in the present work is based on a self-evident observation: there is no reason to expect the development of mathematics and physics to be synchronized in a manner that would keep the former forever one step ahead of the latter. More specifically, if a new number system seems to be needed in physics, there is no reason to believe that this system already belongs to our mathematical heritage.This observation changes the nature of the problem from 'finding' a unifying number system among the algebras already studied by mathematicians, to 'discovering' it ab initio from the requirement that it should lead to a structural merging of quantum mechanics and relativity. The solution, named "algebra of quantions", is derived in this book from several viewpoints, together with proofs of its mathematical uniqueness. Its physical relevance stems from the fact that the Standard Model depends less on observations if formulated over the quantions. This work is a philosophical and technical introduction to the algebra of quantions, to quantionic analysis, and to quantionic field equations.

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Reseña del editor

Quantum mechanics and relativity have been in structural conflict for eighty years. This work shows that the incompatibility in question stems only from the assumption that their unification must be based on the field of complex numbers. Dropping this assumption, one can derive a simple mathematical structure which subsumes both theories as special cases. While the idea of generalizing the number system of quantum mechanics to make structural room for relativity is very old, no attempt has been successful in the past. The novelty brought out in the present work is based on a self-evident observation: there is no reason to expect the development of mathematics and physics to be synchronized in a manner that would keep the former forever one step ahead of the latter. More specifically, if a new number system seems to be needed in physics, there is no reason to believe that this system already belongs to our mathematical heritage. This observation changes the nature of the problem from 'finding' a unifying number system among the algebras already studied by mathematicians, to 'discovering' it ab initio from the requirement that it should lead to a structural merging of quantum mechanics and relativity. The solution, named "algebra of quantions", is derived in this book from several viewpoints, together with proofs of its mathematical uniqueness. Its physical relevance stems from the fact that the Standard Model depends less on observations if formulated over the quantions. This work is a philosophical and technical introduction to the algebra of quantions, to quantionic analysis, and to quantionic field equations.

Biografía del autor

Emile Grgin (1933 - ) studied mathematics and physics at the University of Zagreb. Intrigued by the incompatibility of general relativity and quantum theory, he did his graduate work in Peter Bergmann's Relativity Group at Syracuse University, which was then one of the few centers of research in this field. He set out to develop a new abstract approach to the vexing unification problem in collaboration with Aage Petersen during his postdoctoral years at Yeshiva University in New York. After a hiatus of twenty-five years spent in scientific consulting, mostly related to the design of instrumentation for industry, laboratories, and NASA, the author returned to the still open mathematical problem of structural unification of relativity and quantum mechanics. He is now engaged full time in the investigation of the approach he had originally developed with Petersen, and to its application to concrete problems in physics.

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Editorial
AuthorHouse
Año de publicación
2005
Idioma
Inglés
ISBN 10 
1420840363
ISBN 13 
9781420840360
Encuadernación
Tapa blanda
Número de páginas
696
Contacto del fabricante
no disponible
Persona responsable
no disponible