Mulder, Ruward A. (2024) Is the geometric trinity of gravity a problematic case of underdetermination? In: UNSPECIFIED.
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07-2025 Mulder GeoTrin PSA proceedings (draft).pdf Download (587kB) |
Abstract
It is a striking fact that the theories of the so-called geometric trinity of gravity can model the same gravitational effects with such diverse geometric tools such as curvature, torsion, and non-metricity. Building on (Wolf et al. 2024), this contribution offers a clarification and expansion of responses to this underdetermination emerging in recent years, namely discriminatory approaches such as Occamism and spacetime functionalism, or reinterpretational approaches such as the common core and overarching solutions. Despite appearances, the future of the metric-affine structure that accommodates the geometric trinity seems to lie not in these empirically equivalent formulations but in heuristic for theory construction.
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