Operational Symmetries

Basic Operations in Physics

  • Heinrich Saller

Table of contents

  1. Front Matter
    Pages i-xi
  2. Heinrich Saller
    Pages 1-11
  3. Heinrich Saller
    Pages 13-49
  4. Heinrich Saller
    Pages 51-92
  5. Heinrich Saller
    Pages 93-158
  6. Heinrich Saller
    Pages 159-200
  7. Heinrich Saller
    Pages 201-232
  8. Heinrich Saller
    Pages 233-319
  9. Heinrich Saller
    Pages 321-353
  10. Heinrich Saller
    Pages 355-423
  11. Heinrich Saller
    Pages 425-468
  12. Heinrich Saller
    Pages 469-505
  13. Heinrich Saller
    Pages 507-566
  14. Back Matter
    Pages 567-574

About this book


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. 


Spin Isospin Weyl Spinor Quartet Physics Quantum Logic Quantum Propability Group Theory Physics Quantum Fields of Positions Spacetime Physics Gauge Theory Physics Operational Physics Theory Group Theory Physics

Authors and affiliations

  • Heinrich Saller
    • 1
  1. 1.Werner-Heisenberg InstituteMax Planck Institute for PhysicsMunichGermany

Bibliographic information

  • DOI
  • Copyright Information Springer International Publishing AG 2017
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-58663-2
  • Online ISBN 978-3-319-58664-9
  • Buy this book on publisher's site