Operational Spacetime: Interactions and Particles (Fundamental Theories of Physics, Band 163) - Softcover

Saller, Heinrich

Softcover

ISBN 10: 1461424933 ISBN 13: 9781461424932

Verlag: Springer, 2012

Inhaltsangabe

The book provides readers with an understanding of the mutual conditioning of spacetime and interactions and matter. The spacetime manifold will be looked at to be a reservoir for the parametrization of operation Lie groups or subgroup classes of Lie groups. With basic operation groups or Lie algebras, all physical structures can be interpreted in terms of corresponding realizations or representations. Physical properties are related eigenvalues or invariants. As an explicit example of operational spacetime is proposed, called electroweak spacetime, parametrizing the classes of the internal hypercharge - isospin group in the general linear group in two complex dimensions, i.e., the Lorentz cover group, extended by the casual (dilation) and phase group. Its representations and invariants will be investigated with the aim to connect them, qualitatively and numerically, with the properties of interactions and particles as arising in the representations of its tangent Minkowski spaces.

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Über die Autorin bzw. den 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.

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Operational Spacetime:  Interactions and Particles provides readers with a basic understanding of the mutual conditioning of spacetime and interactions and matter.  The spacetime manifold will be looked at to be a reservoir for the parametrization of operation Lie groups or subgroup classes of Lie groups.  With basic operation groups or Lie algebras, all physical structures can be interpreted in terms of corresponding realizations or representations.  Physical properties are related eigenvalues or invariants. 

As an explicit example, an operational spacetime is proposed, called electroweak spacetime, parametrizing the classes of the internal hypercharge-isospin group in the general linear group in two complex dimensions, i.e., the Lorentz cover group, extended by the causal (dilation) and phase group.  Its representations and invariants will be investigated with the aim to connect them, qualitatively and numerically, with the properties of interactions and particles as arising in the representations of its tangent Minkowski spaces.

Heinrich Saller is the author of Operational Quantum Theory I:  Nonrelativistic Structures (Springer, 2006) and Operational Quantum Theory II:  Relativistic Structures (Springer, 2006).

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2012
• Sprache: Englisch
• ISBN 10: 1461424933
• ISBN 13: 9781461424932
• Einband: Taschenbuch
• Anzahl der Seiten: 356
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland