---
title: "Geometric Trinity"
type: "entity"
entity_kind: "concept"
status: "hub"
canonical_name: "Geometric Trinity"
aliases: ["GT","the geometrical trinity of gravity"]
first_seen: "2026-10-05T00:00:00.000Z"
writer_model: "claude-sonnet-5"
connects_to: ["general relativity","teleparallel gravity (TEGR)","symmetric teleparallel gravity (STEGR)","entity-metric-affine-gauge-theory-of-gravity","underdetermination"]
seek_code_commit: "379c8e7"
---


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: [[entity-kartik-tiwari|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.