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  • © 2010

Operational Spacetime

Interactions and Particles

Authors:

  • 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)

  1. Front Matter

    Pages 1-10
  2. Introduction and Orientation

    • Heinrich Saller
    Pages 1-15
  3. Einstein’s Gravity

    • Heinrich Saller
    Pages 17-28
  4. Riemannian Manifolds

    • Heinrich Saller
    Pages 29-80
  5. Mass Points

    • Heinrich Saller
    Pages 81-92
  6. Quantum Mechanics

    • Heinrich Saller
    Pages 93-110
  7. Quantum Fields of Flat Spacetime

    • Heinrich Saller
    Pages 111-145
  8. External and Internal Operations

    • Heinrich Saller
    Pages 147-171
  9. Relativities and Homogeneous Spaces

    • Heinrich Saller
    Pages 173-200
  10. Representation Coeffficients

    • Heinrich Saller
    Pages 201-253
  11. Convolutions and Product Representations

    • Heinrich Saller
    Pages 255-276
  12. Interactions and Kernels

    • Heinrich Saller
    Pages 277-294
  13. Electroweak Spacetime

    • Heinrich Saller
    Pages 295-315
  14. Masses and Coupling Constants

    • Heinrich Saller
    Pages 317-331
  15. Back Matter

    Pages 1-12

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

  • Werner-Heisenberg-Institut, MPI für Physik, München, Germany

    Heinrich Saller

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access