Relativities and Homogeneous Spaces

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


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.


Homogeneous Space Lorentz Group Rotation Group Maximal Compact Subgroup Electroweak Standard Model 
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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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