Relativities and Homogeneous Spaces

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

Abstract

This chapter discusses the dichotomy and connection of external and internal operations in real four-dimensional electroweak spacetime \( \mathcal{D} \left( 2 \right) = {\rm D}\left( 1 \right) \times y^3 = {\rm GL}\left( {2, \mathcal{C}} \right) \rm{/U} \left( 2 \right) \) will be under the label unitary relativity. To see its general and specific structures, unitary relativity will be considered as one example in five relativities: “up-down” or perpendicular relativity as realized after discovering the earth’s surface to be spherical; then rotation or space and time relativity, as used in what we call special relativity; then Lorentz group or flat Minkowski spacetime relativity or, also, with Wigner’s definition, particle relativity as an important ingredient (local inertial systems) of general relativity; then electromagnetic relativity as used for the particle definition in the standard model of electroweak interactions [58]; and, finally, unitary relativity with “spacetimelike” and “chargelike” operations.

Keywords

Homogeneous Space Lorentz Group Rotation Group Maximal Compact Subgroup Electroweak Standard Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  1. 1.MPI für Physik Werner-Heisenberg-InstitutMünchenGermany

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