Causality as a Casualty of Pregeometry

  • W. M. Stuckey
Part of the NATO Science Series book series (NAII, volume 95)


In Wheeler’s pregeometry, one attempts to derive properties of the spacetime manifold, such as metric, continuity, dimensionality, topology, locality, symmetry, and causality from an otherwise structureless set [1]. Requardt & Roy refer to this methodologically reductionist attempt to model the properties of spacetime as “bottom up pregeometry” [2]. In an early attempt to derive spacetime dimensionality, Wheeler assigned probability amplitudes to the members of a Borel (structureless) set to stochastically establish spacetime adjacency [3]. Wheeler abandoned this idea, in part, because “too much geometric structure is presupposed to lead to a believable theory of geometric structure” [4]. In particular, he considered the manner in which probability amplitudes were assigned, and a metric introduced, to be ad hoc. However, recent models by Nagels [5], Antonsen [6], and Nowotny & Requardt [7] employing graph theory have, arguably, surmounted these objections.


Uniform Space Spacetime Structure Spacetime Region Fundamental Constituent Block Universe 
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Copyright information

© Springer Science+Business Media Dordrecht 2003

Authors and Affiliations

  • W. M. Stuckey
    • 1
  1. 1.Department of PhysicsElizabethtown CollegeElizabethtownUSA

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