Residual Representations of Spacetime

Heinrich Saller

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arXiv · hep-th/0010057

Residual Representations of Spacetime

Heinrich Saller

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Abstract

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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Heinrich Saller. 2000-10-09. Residual Representations of Spacetime. https://arxiv.org/abs/hep-th/0010057

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