Representations of Spacetime as Unitary Operation Classes; or Against the Monoculture of Particle Fields |
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Authors: | Heinrich Saller |
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Affiliation: | (1) Jacobs University Bremen, 28759 Bremen, Germany |
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Abstract: | Spacetime is modeled as a homogeneous manifoldgiven by the classes of unitary U(2) operations in thegeneral complex operations GL(). The residual representations of thisnoncompact symmetric space of rank two are characterized by two continuousreal invariants, one invariant interpreted as a particlemass for a positive unitary subgroup and the second onefor an indefinite unitary subgroup related to nonparticle interpretable interaction ranges.Fields represent nonlinear spacetimeGL()/U(2) by theirquantization and include necessarily nonparticlecontributions in the timelike part of their flat-space Feynman propagator. |
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