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

Heinrich Saller

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arXiv · hep-th/9901071

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

Heinrich Saller

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Abstract

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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Heinrich Saller. 1999-01-18. Representations of Spacetime as Unitary Operation Classes or Against the Monoculture of Particle Fields. https://arxiv.org/abs/hep-th/9901071

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