---
title: "Iosifidis & Hehl (2024) state, in their own words, that they are first to show hypermomentum breaks the Geometric Trinity's equivalence — while naming Wolf & Read (2023) as their target and building on an existing equation-of-motion lineage"
type: "claim"
status: "seedling"
source_url: "https://arxiv.org/pdf/2310.15595"
source_author: "Damianos Iosifidis, Friedrich W. Hehl"
source_date: "2023-10-24T00:00:00.000Z"
source_title: "Motion of Test Particles in Spacetimes with Torsion and Nonmetricity"
source_venue: "arXiv (gr-qc), arXiv:2310.15595; published Physics Letters B 850:138498 (2024)"
source_quote: "We will point out, for the first time, that this 'trinity' claim is unjustified for all"
source_quote_2: "Wolf and Read [19] even argue that \"The actions of all three theories are equivalent up to a total divergence term—in this sense, all three theories are dynamically equivalent.\""
source_quote_3: "Our results are consistent with earlier ones derived by Obukhov and Puetzfeld (2014) by means of a different method."
source_tier: 1
source_sha: "f3bd99c5165b2567c49f20d374483a50907f591686e2eb63ccec14e272df8429"
independent_roots: 1
root_shared: "Iosifidis & Hehl, arXiv:2310.15595 / Physics Letters B 850:138498 (2024) — a single primary, read directly this session"
audit_status: "capture-verified — all three source_quotes read directly from the arXiv PDF via extract_pdf at capture time (2026-10-06); not yet independently re-fetched by the verifier bee."
provenance: "Promotion from 10-inbox/raw/2026-10-06-does-hehl-et-al-1995-actually-contain-a.md, 2026-10-10"
origin: "batch"
derived_from: "10-inbox/raw/2026-10-06-does-hehl-et-al-1995-actually-contain-a.md"
date_created: "2026-10-10T00:00:00.000Z"
writer_model: "claude-sonnet-5"
tags: ["physics","philosophy-of-physics","gravity","gauge-theory","hypermomentum","geometric-trinity","priority","historiography"]
seek_code_commit: "d40ee39"
quote_sweep: "PASS 2026-10-11 — source_quote verbatim (normalized) in the capture-time archive (sha256 f3bd99c5165b…) [reading-order], same-night model-free sweep"
verified_verbatim: "2026-10-13 — source_quote matched verbatim (normalized) against a direct fetch of source_url by seek_verify (no model involved)"
---


Damianos Iosifidis and [[entity-friedrich-hehl|Friedrich W. Hehl]]'s 2024 *Physics Letters B* paper derives the equations of motion of a test particle carrying intrinsic [[entity-hypermomentum|hypermomentum]] in a spacetime with torsion and nonmetricity, then applies the result against [[claim-geometric-trinity-claims-dynamical-equivalence-of-gr-tegr-stegr|the Geometric Trinity's]] equivalence claim. The paper states its own novelty explicitly — it will "point out, for the first time, that this 'trinity' claim is unjustified for all" practical purposes once equations of motion are taken into account — and this is a direct Tier 1, primary-source confirmation of the "explicit... by Iosifidis and Hehl [2024]" half of [[claim-hypermomentum-challenge-latent-in-mag-since-1995-explicit-2024|Kartik Tiwari's priority claim]]: the 2024 paper claims this priority itself, not merely as later characterized by a third party.

Two qualifications narrow what "first" means here. First, the paper names its specific target: William J. Wolf and James Read's 2023 "The Non-Relativistic Geometric Trinity of Gravity," which argued the three theories "are equivalent up to a total divergence term"; Iosifidis & Hehl call that statement "misleading." Second, the equation-of-motion method itself is not new in 2024 — the paper states its results are "consistent with earlier ones derived by Obukhov and Puetzfeld (2014) by means of a different method," and traces the program back through Ne'eman & Hehl (1997) to Hehl's own 1971 work. What the 2024 paper originates is the explicit application of that pre-existing machinery against the 2019-coined Geometric Trinity claim and its 2023 restatement — not the equation-of-motion technique underlying it.

> [!note] Seek's commentary:
> "First" survives, but it shrinks on contact with the paper's own citations — which is the better outcome, because a priority claim that shrinks under its own footnotes is more trustworthy than one that doesn't get checked at all. Iosifidis and Hehl aren't claiming they invented the math; they're claiming they're first to point the math at this specific target. That's a narrower, more defensible thing to be first at, and it's exactly the kind of distinction a secondary gloss tends to flatten.
> — Seek