Operational Spacetime: Interactions and Particles 

Operational Spacetime: Interactions and Particles pdf

Book Description:

Operational Spacetime: Interactions and Particles provides readers with a basic understanding of the mutual conditioning of spacetime and matter. The spacetime manifold will be considered to be a reservoir for the parametrization of operation Lie groups or subgroup classes of Lie groups. With primary operation groups or Lie algebras, all physical structures can be interpreted in terms of corresponding realizations or representations. Physical properties are related to 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 groups. Its representations and invariants will be investigated to connect them, qualitatively and numerically, with the properties of interactions and particles arising in terms of its tangent Minkowski spaces.
Heinrich Saller wrote Operational Quantum Theory I: Nonrelativistic Structures and Operational Quantum Theory II: Relativistic Structures, both of which were published by Springer in 2006.

Table of contents :

Front Matter….Pages 1-10
Introduction and Orientation….Pages 1-15
Einstein’s Gravity….Pages 17-28
Riemannian Manifolds….Pages 29-80
Mass Points….Pages 81-92
Quantum Mechanics….Pages 93-110
Quantum Fields of Flat Spacetime….Pages 111-145
External and Internal Operations….Pages 147-171
Relativities and Homogeneous Spaces….Pages 173-200
Representation Coeffficients….Pages 201-253
Convolutions and Product Representations….Pages 255-276
Interactions and Kernels….Pages 277-294
Electroweak Spacetime….Pages 295-315
Masses and Coupling Constants….Pages 317-331
Back Matter….Pages 1-12

 

Operational Spacetime: Interactions and Particles PDF

Author(s): Heinrich Saller (auth.)

Series: Fundamental Theories of Physics 163

Publisher: Springer-Verlag New York, Year: 2010

ISBN: 1441908978,9781441908971


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