Abstract
Movements in space-time: the author composes a hole diffeomorphism for a 3+1-dimensional space-time manifold, which is required in the so-called Hole Argument. The composition applies directly to the universe.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
J. Earman and J. Norton, ‘What Price Spacetime Substantivalism? The Hole Story’,Brit. J. Phil. Sc. 38 (1987) 515–525.
J. Butterfield, ‘The Hole Truth’,Brit. J. Phil. Sc. 40 (1989) 1–28.
J. Stachel, ‘The Meaning of General Covariance. The Hole Story’, inPhilosophical Problems of the Internal and External Worlds, J. Earmanet al. (eds.) (Pittsburgh: University of Pittsburgh Press, 1987), pp. 129–160.
T. Maudlin, ‘Substances and Spacetime: What Aristotle Would Have Said to Einstein’,Stud. Hist. Phil. Sc. 21 (1990) 531–561.
R. Rynasiewicz, ‘The Lessons of the Hole Argument’,Brit. J. Phil. Sc. 45 (1994) 407–436.
J. Earman,World Enough and Space-Time. Absolute versus Relational Theories of Space and Time (Cambridge, Massachusetts: MIT Press, 1989), pp. 175–208.
D.H. Griffel,Applied Functional Analysis (Chichester, England: Ellis Horwood, 1988), pp. 15, 103.
W.M. Boothby,An Introduction to Differentiable Manifolds and Riemannian Geometry (New York: Academic Press, 1975), pp. 41, 46, 53.
S. Weinberg,Gravitation and Cosmology. Principles and Applications of the General Theory of Relativity (New York: John Wiley & Sons, 1972), p. 412.
C. Sagan,Cosmos (London: Book Club Associates, 1981), pp. 219–220.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Muller, F.A. Fixing a hole. Found Phys Lett 8, 549–562 (1995). https://doi.org/10.1007/BF02186246
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02186246