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Are geometrical trinity of gravity underdetermined?

Zhou, Yitong
PhilArchive · Papers
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philosophy
General relativity (GR) describes gravity through the curvature of spacetime. However, there are two equivalents of GR that describe flat spacetimes with gravitational effects attributed to torison or non-metricity. These theories, together with GR, are known as the geometrical trinity of gravity and are said to present a case of underdetermination by Wolf et al. (2024). In this article, I argue against this stance by examining the empirical equivalence and possible interpretations of the trinity. I propose a new framework where the trinity emerge as different gauge-fixed versions of a unifying theory. Thus I contend that the apparent disagreements on spacetime ontology arise from different gauge choices without physical significance, thereby breaking down the underdetermination.
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