International Journal of Theoretical Physics

, Volume 33, Issue 9, pp 1797–1809 | Cite as

Intrinsic algebraic characterization of space-time structure

  • Ulrich Bannier
Article

Abstract

Starting from a partially ordered set ofC*-algebras ℛi representing algebras of observables of physical subsystems, we derive a topological Hausdorff space ℳ as a candidate for some generalized “space-time” with the help of which one can define a net\(O \to \mathcal{A}(O),O \subseteq \mathcal{M}\), of algebras. This opens a way to define a physical theory without an underlying metaphysical manifold, an aspect which may be relevant for the unification of general relativity and quantum field theory.

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Copyright information

© Plenum Publishing Corporation 1994

Authors and Affiliations

  • Ulrich Bannier
    • 1
  1. 1.Fachhochschule HamburgFachbereich MChHamburgGermany

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