Pith Number

pith:MGOOYFUI

pith:2026:MGOOYFUIRKARXVD5JJMBJOILFE

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Warm inflation in Weyl geometric gravity

Hong-Hao Zhang, Lei Ming, Runhua Huang, Shi-Dong Liang, Tiberiu Harko

Warm inflation in Weyl geometric gravity allows the universe to transition naturally from inflation to radiation domination.

arxiv:2605.16884 v1 · 2026-05-16 · gr-qc · astro-ph.CO · hep-th

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Claims

C1strongest claim

We have successfully developed a warm inflationary model in which the Universe transitions naturally from an inflationary epoch to a radiation-dominated era. The relevant cosmological observables have been calculated and compared with the latest observational constraints from the ACT data.

C2weakest assumption

The assumption that the linear dissipation coefficient together with a quartic potential remains a valid and sufficient description once the Weyl vector is included, and that the chosen coupling models allow the required transition without additional fine-tuning or post-hoc adjustments.

C3one line summary

Warm inflation with linear dissipation and quartic potential is realized in Weyl geometric gravity, incorporating the Weyl vector to produce a smooth transition to radiation domination with observables consistent with ACT data.

References

87 extracted · 87 resolved · 5 Pith anchors

[1] The non-minimal coupling model 12

[2] Warm inflation in Weyl geometric gravity 2026 · arXiv:2605.16884

[3] one ﬁnds the connection ˜Γ of the Weyl geometry as having the form ˜Γλ µν = Γ λ µν + 1 2α [ δλ µ ων +δλ ν ωµ − gµν ωλ ] = Γλ µν + Ξλ µν, (5) where Γ λ µν is the Levi-Civita connection, given by its us

[4] with Eq. ( 14), we obtain the action of the Weyl geometric theory deﬁned in the Riemannian space, and given by S = ∫ ( 2 4!ξ2φ 2 ( R − 3α ∇ λωλ − 3 2α 2ωλωλ ) (18) − 1 4!ξ2φ 4 − 1 4FµνFµν + Leﬀ ) √ −g

[5] ( 32) is equivalent to ˙ρψ + 3H (ρψ +pψ ) = − Γ ˙ψ 2

Formal links

2 machine-checked theorem links

Cited by

1 paper in Pith

Warm inflation in Weyl geometric gravity

Receipt and verification

First computed	2026-05-20T00:03:28.199309Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

619cec16888a811bd47d4a5814b90b2923defa6da5107eb48977b4c93913fa2c

Aliases

arxiv: 2605.16884 · arxiv_version: 2605.16884v1 · doi: 10.48550/arxiv.2605.16884 · pith_short_12: MGOOYFUIRKAR · pith_short_16: MGOOYFUIRKARXVD5 · pith_short_8: MGOOYFUI

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MGOOYFUIRKARXVD5JJMBJOILFE \
  | 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: 619cec16888a811bd47d4a5814b90b2923defa6da5107eb48977b4c93913fa2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "662d5933e5155ab1ccad008375d7aad86dbd12c3d508708f27ed1dfd36c51210",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-05-16T08:58:02Z",
    "title_canon_sha256": "7dff7783ed78bdaadfdb0c064638d0b6d15acf2ca2fe3fcf5161c4a5bc90b7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.16884",
    "kind": "arxiv",
    "version": 1
  }
}