Operational Spacetime

Interactions and Particles

  • Heinrich Saller

Part of the Fundamental Theories of Physics book series (FTPH, volume 163)

Table of contents

  1. Front Matter
    Pages 1-10
  2. Heinrich Saller
    Pages 1-15
  3. Heinrich Saller
    Pages 17-28
  4. Heinrich Saller
    Pages 29-80
  5. Heinrich Saller
    Pages 81-92
  6. Heinrich Saller
    Pages 93-110
  7. Heinrich Saller
    Pages 111-145
  8. Heinrich Saller
    Pages 147-171
  9. Heinrich Saller
    Pages 173-200
  10. Heinrich Saller
    Pages 201-253
  11. Heinrich Saller
    Pages 255-276
  12. Heinrich Saller
    Pages 277-294
  13. Heinrich Saller
    Pages 295-315
  14. Heinrich Saller
    Pages 317-331
  15. Back Matter
    Pages 1-12

About this book


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).


Gravity Minkowski space Quantum mechanics RMS Riemannian manifolds electroweak spacetime group theory operational spacetime quantum field theory representation theory spacetime representations

Authors and affiliations

  • Heinrich Saller
    • 1
  1. 1.Werner-Heisenberg-InstitutMPI für PhysikMünchenGermany

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