Pith Number

pith:N2FFKGWV

pith:2026:N2FFKGWV2IOVCARB7FEJL76DEH

not attested not anchored not stored refs resolved

A Tale of Two Hartle-Hawking Wave Functions: Fully Gravitational vs Partially Frozen

Galit Anikeeva, Mengyang Zhang, Rapha\"el Dulac, Zixia Wei

The phase in Hartle-Hawking wave functions arises only when the gravitational path integral fully integrates over boundary configurations rather than fixing them.

arxiv:2605.13970 v1 · 2026-05-13 · hep-th · gr-qc

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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

Our results suggest that the phase problem is controlled by whether the gravitational path integral is fully dynamical or partially frozen.

C2weakest assumption

That the one-loop correction to the hyperbolic-ball partition function gives the leading contribution to the wave-function norm and that the boundary fluctuations are correctly captured by the chosen regularization.

C3one line summary

In AdS the fully gravitational Hartle-Hawking wave function acquires a nontrivial one-loop phase while the partially frozen version stays real and positive; a partially frozen de Sitter sphere shows phase cancellation.

References

82 extracted · 82 resolved · 30 Pith anchors

[1] J. B. Hartle and S. W. Hawking,Wave Function of the Universe,Phys. Rev. D28 (1983) 2960 1983

[2] Review of the no-boundary wave function 2023

[3] Maldacena,Comments on the no boundary wavefunction and slow roll inflation, 2403.10510

[4] The Large N Limit of Superconformal Field Theories and Supergravity 1999 · arXiv:hep-th/9711200

[5] Gauge Theory Correlators from Non-Critical String Theory 1998 · arXiv:hep-th/9802109

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:13.505186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e8a551ad5d21d510221f94895ffc321f9d4dd3bf66f1fb7a1b90955b3b2d375

Aliases

arxiv: 2605.13970 · arxiv_version: 2605.13970v1 · doi: 10.48550/arxiv.2605.13970 · pith_short_12: N2FFKGWV2IOV · pith_short_16: N2FFKGWV2IOVCARB · pith_short_8: N2FFKGWV

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/N2FFKGWV2IOVCARB7FEJL76DEH \
  | 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: 6e8a551ad5d21d510221f94895ffc321f9d4dd3bf66f1fb7a1b90955b3b2d375

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb6a28afb3e34f93d88714ea123d22d22f639d1a8a93ea9ec15afc1c6fd0b9f0",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-13T18:00:07Z",
    "title_canon_sha256": "8b1c1fd83a0b3835bceea31a33102bb6b3236dba98fc57ed23a4847008e3fc5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13970",
    "kind": "arxiv",
    "version": 1
  }
}