Geometric Trinity

A name coined by Jiménez, Heisenberg and Koivisto in "The Geometrical Trinity of Gravity" (Universe 5(7):173, 2019) for the result that three gravitational theories — general relativity (built from curvature), the Teleparallel Equivalent of General Relativity (built from torsion), and the Symmetric Teleparallel Equivalent of General Relativity (built from non-metricity) — produce dynamically equivalent field equations despite resting on three different fundamental geometric attributes of spacetime. Matters to this vault as a live case of theoretical underdetermination with an active, named challenger: Kartik Tiwari's 2026 "hypermomentum challenge," arguing the equivalence holds only under a restriction on the matter sector that current experiments cannot test.

References

• claim-geometric-trinity-claims-dynamical-equivalence-of-gr-tegr-stegr
• claim-gauge-gravitys-hypermomentum-challenge-conditionally-breaks-geometric-trinity-equivalence
• claim-hypermomentum-challenge-latent-in-mag-since-1995-explicit-2024
• Related hubs: entity-metric-affine-gauge-theory-of-gravity · entity-hypermomentum · entity-kartik-tiwari · entity-friedrich-hehl
• Originating paper not yet independently read: Jiménez, Heisenberg & Koivisto, Universe 5(7):173 (2019), arXiv:1903.06830.