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Representations of Spacetime as Unitary Operation Classes; or Against the Monoculture of Particle Fields
Authors:Heinrich Saller
Affiliation:(1) Jacobs University Bremen, 28759 Bremen, Germany
Abstract:Spacetime is modeled as a homogeneous manifoldgiven by the classes of unitary U(2) operations in thegeneral complex operations GL(
$$mathbb{C}^2 $$
). 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(
$$mathbb{C}^2 $$
)/U(2) by theirquantization and include necessarily nonparticlecontributions in the timelike part of their flat-space Feynman propagator.
Keywords:
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