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

Text _Final_File_Preprint__Localizing_the_singular_structure_of_spacetime.pdf Download (210kB)

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.

---

Export/Citation:

EndNote | BibTeX | Dublin Core | ASCII/Text Citation (Chicago) | HTML Citation | OpenURL

Social Networking:

Share |

---

Item Type:	Preprint
Creators:	Creators Email ORCID Cudek, Franciszek franciszek.cudek@philosophy.ox.ac.uk 0000-0002-9219-6199
Additional Information:	Links in bibliography are fixed.
Keywords:	singularities, localizability, singular structure
Subjects:	General Issues > Scientific Metaphysics Specific Sciences > Physics > Relativity Theory
Depositing User:	Franciszek Cudek
Date Deposited:	13 Nov 2025 13:56
Last Modified:	13 Nov 2025 13:56
Item ID:	27184
Subjects:	General Issues > Scientific Metaphysics Specific Sciences > Physics > Relativity Theory
Date:	2025
URI:	https://philsci-archive.pitt.edu/id/eprint/27184

Available Versions of this Item

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

Monthly Views for the past 3 years

Monthly Downloads for the past 3 years

Plum Analytics

Actions (login required)

View Item