Residual Representations of Spacetime

2000/10/09 by Heinrich Saller
Physics and Astronomy · #hep-th

paper · pdf

published as Int.J.Theor.Phys. 40 (2001) 1209-1248 · 30 pages, latex, macros included

arxiv created 2000/10/09 · arxiv updated 2009/11/30

Abstract

Spacetime is modelled by binary relations - by the classes of the automorphisms \GL(\C²) 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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