Operational Symmetries: Basic Operations in Physics - Tapa blanda

Saller, Heinrich

 
9783319864495: Operational Symmetries: Basic Operations in Physics
Tapa blanda
ISBN 10: 3319864491 ISBN 13: 9783319864495
Editorial: Springer, 2018

Sinopsis

This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space. The spectrum of hyperbolic position space explains the properties of the nonrelativistic atoms; the spectrum of electroweak spacetime is hoped to explain those of the basic interactions and elementary particles.  

In this book, the theory of operational symmetries is developed from the numbers, from Plato's and Kepler's symmetries over the simple Lie groups to their applications in nonrelativistic, special relativistic and general relativistic quantum theories with the atomic spectrum for hyperbolic position and, in first attempts, the particle spectrum for electroweak spacetime.  

The standard model of elementary particles and interactions is characterized by a symmetry group. In general, as initiated by Weyl and stressed by Heisenberg, quantum theory can be built as a theory of operation groups and their unitary representations. In such a framework, time, position and spacetime is modeled by equivalence classes of symmetry groups. For a unification on this road, the quest is not for a final theory with a basic equation for basic particles, but for the basic operation group and its representations. 

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Acerca del autor

Prof. Dr. Heinrich Saller worked for over 40 years in mathematical physics with a special focus on field theory. His research interests include centrum correlations of the nonabelian internal symmetries isospin and colour with the abelian hypercharge; particle projection of relativistic fields and last but not least timespace as homogenous causal manifolds and their representations. He has worked at Cornell University and at the Ludwigs Maximilan University Munich (LMU). Heinrich Saller's main affiliation is the Max Planck Institute of Physics in Munich. He is editor-in-chief of the International Journal of Theoretical Physics.

De la contraportada

This book describes the endeavour to relate the particle spectrum with representations of operational electroweak spacetime, in analogy to the atomic spectrum as characterizing representations of hyperbolic space. The spectrum of hyperbolic position space explains the properties of the nonrelativistic atoms; the spectrum of electroweak spacetime is hoped to explain those of the basic interactions and elementary particles.  

In this book, the theory of operational symmetries is developed from the numbers, from Plato’s and Kepler’s symmetries over the simple Lie groups to their applications in nonrelativistic, special relativistic and general relativistic quantum theories with the atomic spectrum for hyperbolic position and, in first attempts, the particle spectrum for electroweak spacetime.  

The standard model of elementary particles and interactions is characterized by a symmetry group. In general, as initiated by Weyl and stressed by Heisenberg, quantum theory can be built as a theory of operation groups and their unitary representations. In such a framework, time, position and spacetime is modeled by equivalence classes of symmetry groups. For a unification on this road, the quest is not for a final theory with a basic equation for basic particles, but for the basic operation group and its representations. 

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Editorial
Springer
Año de publicación
2018
Idioma
Inglés
ISBN 10 
3319864491
ISBN 13 
9783319864495
Encuadernación
Tapa blanda
Número de páginas
588
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Otras ediciones populares con el mismo título

9783319586632: Operational Symmetries: Basic Operations in Physics

Edición Destacada

ISBN 10:  3319586637 ISBN 13:  9783319586632
Editorial: Springer, 2017
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