Pith Number

pith:AHUOMHPY

pith:2026:AHUOMHPYG2XMBRW32L5KRHTUNN

not attested not anchored not stored refs resolved

A No-Go Theorem for Quantum Cosmologies with Non-natural Hamiltonians

Brazil), Christine C. Dantas (Astrophysics Division, INPE

Non-quadratic cosmological dynamics cannot be geometrized via Eisenhart-Duval lifts.

arxiv:2605.13921 v1 · 2026-05-13 · gr-qc

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2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We thus establish a kinematical no-go theorem: non-quadratic cosmological dynamics cannot be geometrized via ED constructions.

C2weakest assumption

The Eisenhart-Duval lift applies exclusively to natural Hamiltonians that are quadratic in the canonical momenta, and that polymer-modified Hamiltonians in loop quantum cosmology are genuinely non-polynomial in those momenta.

C3one line summary

Non-quadratic Hamiltonians in cosmological models prevent geometrization via the Eisenhart-Duval lift.

References

29 extracted · 29 resolved · 5 Pith anchors

[1] Eisenhart L P 1928 Annals of Mathematics 30 591–606 ISSN 0003486X, 19398980 URL http: //www.jstor.org/stable/1968307 1928

[2] Duval , author G 1985 · doi:10.1103/physrevd.31.1841

[3] Celestial mechanics, conformal structures, and gravitational waves 1991 · doi:10.1103/physrevd.43.3907

[4] Duval C, Henkel M, Horvathy P A, Rouhani S and Zhang P M 2024International Journal of Theoret- ical Physics 63 184 (Preprint 2403.20316) URL https://doi.org/10.1007/s10773-024-05673-0 · doi:10.1007/s10773-024-05673-0

[5] Cariglia M and Alves F K 2015 European Journal of Physics 36 025018 URL https://doi.org/ 10.1088/0143-0807/36/2/025018 2015 · doi:10.1088/0143-0807/36/2/025018

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:15.574171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01e8e61df836aec0c6dbd2faa89e746b65c84e0c6b6d12facd1f6631b5161636

Aliases

arxiv: 2605.13921 · arxiv_version: 2605.13921v1 · doi: 10.48550/arxiv.2605.13921 · pith_short_12: AHUOMHPYG2XM · pith_short_16: AHUOMHPYG2XMBRW3 · pith_short_8: AHUOMHPY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/AHUOMHPYG2XMBRW32L5KRHTUNN \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 01e8e61df836aec0c6dbd2faa89e746b65c84e0c6b6d12facd1f6631b5161636

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b4f5dde72f6c595e6af53c18e1130e373173e44c42b536c3ba9d2d2d651c651",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-13T14:04:30Z",
    "title_canon_sha256": "e384e0e6ea7d1097790e2bd3581e9420ae719a217f674ca3e3e2495b7aad22e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13921",
    "kind": "arxiv",
    "version": 1
  }
}