__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).

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Operational Spacetime (Fundamental Theories of Physics (163))

Springer Nature

Springer US

Fundamental Theories of Physics, 163, New York, NY, 2010

United States, United States of America

Springer Nature, New York, 2010

2010, PS, 2009

1, 20091028

sm41108506

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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). And Orientation -- Einstein’s Gravity -- Riemannian Manifolds -- Mass Points -- Quantum Mechanics -- Quantum Fields Of Flat Spacetime -- External And Internal Operations -- Relativities And Homogeneous Spaces -- Representation Coeffficients -- Convolutions And Product Representations -- Interactions And Kernels -- Electroweak Spacetime -- Masses And Coupling Constants. Heinrich Saller. Includes Bibliographical References (p. 333-336) And Index.

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.

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

Fundamental Theories of Physics
Erscheinungsdatum: 12.11.2009

2013-08-01