Switch to: References

Add citations

You must login to add citations.
  1. Generalised Manifolds as Basic Objects of General Relativity.Joanna Luc - 2020 - Foundations of Physics 50 (6):621-643.
    In this paper non-Hausdorff manifolds as potential basic objects of General Relativity are investigated. One can distinguish four stages of identifying an appropriate mathematical structure to describe physical systems: kinematic, dynamical, physical reasonability, and empirical. The thesis of this paper is that in the context of General Relativity, non-Hausdorff manifolds pass the first two stages, as they enable one to define the basic notions of differential geometry needed to pose the problem of the evolution-distribution of matter and are not in (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark   2 citations  
  • New Foundations for Branching Space-Times.N. Belnap, T. Müller & T. Placek - 2021 - Studia Logica 109 (2):239-284.
    The theory of branching space-times, put forward by Belnap, considers indeterminism as local in space and time. In the axiomatic foundations of that theory, so-called choice points mark the points at which the possible future can turn out in different ways. Working under the assumption of choice points is suitable for many applications, but has an unwelcome topological consequence that makes it difficult to employ branching space-times to represent a range of possible physical space-times. Therefore it is interesting to develop (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  • Determinism and General Relativity.Chris Smeenk & Christian Wüthrich - 2021 - Philosophy of Science 88 (4):638-664.
    We investigate the fate of determinism in general relativity, comparing the philosopher’s account with the physicist’s well-posed initial value formulations. The fate of determinism is interwoven with the question of what it is for a spacetime to be ‘physically reasonable’. A central concern is the status of global hyperbolicity, a putatively necessary condition for determinism in GR. While global hyperbolicity may fail to be true of all physically reasonable models, we analyze whether global hyperbolicity should be imposed by fiat; established (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark