Representations of Spacetime as Unitary Operation Classes or Against the Monoculture of Particle Fields

Details Representations of Spacetime as Unitary Operation Classes or Against the Monoculture of Particle Fields Representations of Spacetime as Unitary Operation Classes or Against the Monoculture of Particle Fields

1999-01-18

arxiv.org/abs/hep-th/9901071v1

Int.J.Theor.Phys. 38 (1999) 1697-1733

Physics

High Energy Physics

High Energy Physics - Theory

29 pages, latex, macros included

Scientific paper

Spacetime is modelled as a homogeneous manifold given by the classes of unitary $\U(2)$ operations in the general complex operations $\GL(\C^2)$. The residual representations of this noncompact symmetric space of rank two are characterized by two continuous real invariants, one invariant interpreted as a particle mass for a positive unitary subgroup and the second one for an indefinite unitary subgroup related to nonparticle interpretable interaction ranges. Fields represent nonlinear spacetime $\GL(\C^2)/\U(2)$ by their quantization and include necessarily nonparticle contributions in the timelike part of their flat space Feynman propagator.

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