Cudek, Franciszek (2025) Localizing the Singular Structure of Spacetime. [Preprint]

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Abstract

I argue that the singular structure of spacetime is best conceptualized as an extrinsic, non-local, but localizable, property of spacetime regions (of any size), and that there is no unique, best definition of a singular region of spacetime. There is, however, a schema that any adequate definition instantiates. Moreover, the question of what kind of incomplete curves witness singular structure is intimately connected to the question of what kind of curves represent possible trajectories of observers in 'physically reasonable' motion.

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Item Type:	Preprint
Creators:	Creators Email ORCID Cudek, Franciszek franciszek.cudek@philosophy.ox.ac.uk 0000-0002-9219-6199
Keywords:	singularities, localizability, singular structure
Subjects:	General Issues > Scientific Metaphysics Specific Sciences > Physics > Relativity Theory
Depositing User:	Franciszek Cudek
Date Deposited:	07 Nov 2025 13:07
Last Modified:	07 Nov 2025 13:07
Item ID:	27127
Subjects:	General Issues > Scientific Metaphysics Specific Sciences > Physics > Relativity Theory
Date:	2025
URI:	https://philsci-archive.pitt.edu/id/eprint/27127

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• Localizing the Singular Structure of Spacetime. (deposited 07 Nov 2025 13:07) [Currently Displayed]
  • Localizing the Singular Structure of Spacetime. (deposited 13 Nov 2025 13:56)

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