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Paper   IPM / Astronomy / 18395
School of Astronomy
  Title:   Spacetime singularities and indeterminism
  Author(s): 
1.  F. Azhar
2.  M.H. Namjoo
  Status:   Published
  Journal: Synthese
  Year:  2025
  Pages:   1-27
  Supported by:  IPM
  Abstract:
We argue for the claim that spacetime singularities in general relativity (GR) signal indeterminism, broadly construed. We first develop a schema for diagnosing a type of indeterminism for physical theories, which we denote by Indeterminism. Such indeterminism involves a broader notion of a lack of a determination than the usual Laplacian one. More precisely, Indeterminism arises in a model of a physical theory whenever future (or past) states of the model are (i) not unique, (ii) not specified, or (iii) incoherent that is, they fail to satisfy desiderata that the theory should reasonably satisfy. We then apply our schema to salient features of spacetime singularities in GR. We establish that, indeed, singularities signal a type of indeterminism that cannot comprehensively be understood as a variety of Laplacian indeterminism: namely, spacetime singularities in GR signal Indeterminism.

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