Residual Representations of Spacetime

Details Residual Representations of Spacetime Residual Representations of Spacetime

2000-10-09

arxiv.org/abs/hep-th/0010057v1

Int.J.Theor.Phys. 40 (2001) 1209-1248

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, latex, macros included

Scientific paper

Spacetime is modelled by binary relations - by the classes of the automorphisms $\GL(\C^2)$ of a complex 2-dimensional vector space with respect to the definite unitary subgroup $\U(2)$. In extension of Feynman propagators for particle quantum fields representing only the tangent spacetime structure, global spacetime representations are given, formulated as residues using energy-momentum distributions with the invariants as singularities. The associatated quantum fields are characterized by two invariant masses - for time and position - supplementing the one mass for the definite unitary particle sector with another mass for the indefinite unitary interaction sector without asymptotic particle interpretation.

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