Is spacetime curved? Assessing the underdetermination of general relativity and teleparallel gravity
arXiv:2505.04632 · doi:10.1007/s11229-024-04773-y
Abstract
Realism about general relativity (GR) seems to imply realism about spacetime curvature. The existence of the teleparallel equivalent of general relativity (TEGR) calls this into question, for (a) TEGR is set in a torsionful but flat spacetime, and (b) TEGR is empirically equivalent to GR. Knox (2011) claims that there is no genuine underdetermination between GR and TEGR; we call this verdict into question by isolating and addressing her individual arguments. In addition, we anticipate and evaluate two further worries for realism about the torsionful spacetimes of TEGR, which we call the "problem of operationalisability" and the "problem of visualisability".
References in corpus (11)
- Teleparallel Gravity: From Theory to Cosmology
- Comparing Equivalent Gravities: common features and differences
- Variational Principles in Teleparallel Gravity Theories
- Elie Cartan's torsion in geometry and in field theory, an essay
- Respecting Boundaries: Theoretical Equivalence and Structure Beyond Dynamics
- The Non-Relativistic Geometric Trinity of Gravity
- Underdetermination in Classic and Modern Tests of General Relativity
- On the geometric trinity of gravity, non-relativistic limits, and Maxwell gravitation
- A viable form of the metric Teleparallel F(T) theory of gravity
- Gauge-underdetermination and shades of locality in the Aharonov-Bohm effect
- How (Not) to Understand Weak Measurements of Velocities