English

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

High Energy Physics - Theory 2007-05-23 v1

Abstract

Spacetime is modelled as a homogeneous manifold given by the classes of unitary \U(2)\U(2) operations in the general complex operations \GL(\C2)\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(\C2)/\U(2)\GL(\C^2)/\U(2) by their quantization and include necessarily nonparticle contributions in the timelike part of their flat space Feynman propagator.

Keywords

Cite

@article{arxiv.hep-th/9901071,
  title  = {Representations of Spacetime as Unitary Operation Classes or Against the Monoculture of Particle Fields},
  author = {Heinrich Saller},
  journal= {arXiv preprint arXiv:hep-th/9901071},
  year   = {2007}
}

Comments

29 pages, latex, macros included