Overview
- Provides readers with interactive examples on how to connect quantum structure with spacetime
- Gives a unique overview of group theoretical foundation of interactions and particles
- Presents latest techniques in understanding the mutual conditions of operational spacetime and particles
- Includes supplementary material: sn.pub/extras
Part of the book series: Fundamental Theories of Physics (FTPH, volume 163)
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Table of contents (13 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
From the reviews:
“This book provides a basic understanding of the fundamental connections between the properties of spacetime interactions and matter. … it provides a deeper and more radical view of the fundamental principles of physics. … The book addresses graduate students and scientists with an interest in the structure of those basic physical theories that have some experimental justification.” (Gheorghe Zet, Mathematical Reviews, Issue 2011 a)Authors and Affiliations
Bibliographic Information
Book Title: Operational Spacetime
Book Subtitle: Interactions and Particles
Authors: Heinrich Saller
Series Title: Fundamental Theories of Physics
DOI: https://doi.org/10.1007/978-1-4419-0898-8
Publisher: Springer New York, NY
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer-Verlag New York 2010
Hardcover ISBN: 978-1-4419-0897-1Published: 12 November 2009
Softcover ISBN: 978-1-4614-2493-2Published: 25 February 2012
eBook ISBN: 978-1-4419-0898-8Published: 28 October 2009
Series ISSN: 0168-1222
Series E-ISSN: 2365-6425
Edition Number: 1
Number of Pages: X, 344
Topics: Quantum Physics, Classical and Quantum Gravitation, Relativity Theory, Theoretical, Mathematical and Computational Physics, Mathematical Methods in Physics, Elementary Particles, Quantum Field Theory