General Relativity generated various early philosophical interpretations. His
adherents have highlighted the "relativization of inertia" and the concept of
simultaneity, Kantians and Neo-Kantians have underlined the approach of certain
synthetic "intellectual forms" (especially the principle of general covariance,
and logical empirics have emphasized the philosophical methodological
significance of the theory.
Reichenbach approached the GR through the "relativity of geometry" thesis,
trying to build a "constructive axiomatization" of relativity based on
"elementary matters of fact" (Elementartatbestande) for the observable behavior
of light rays, rods and clocks.
The mathematician Hermann Weyl attempted a reconstruction of Einstein's theory
based on the epistemology of a "pure infinitesimal geometry", an extended
geometry with additional terms that formally identified with the potential of
the electromagnetic field.
DOI: 10.13140/RG.2.2.11641.93281
https://www.telework.ro/en/the-ontology-of-general-relativity/