Pith Number

pith:4EJ4IHGQ

pith:2026:4EJ4IHGQC3SWSVRFXE3546GWJF

not attested not anchored not stored refs resolved

Geodesic completion of big bangs from emergent geometry

Benjamin Shlaer, Brooke Berrios, Cameron Corley, Jada Young, Sky O'Donnell

A phantom Chaplygin gas forces the Einstein-frame lapse to cross zero smoothly, causing a time-reversal bounce that completes geodesics through the big bang.

arxiv:2602.21642 v2 · 2026-02-25 · gr-qc · hep-th

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\usepackage{pith}
\pithnumber{4EJ4IHGQC3SWSVRFXE3546GWJF}

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Record completeness

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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

with a phantom Chaplygin gas, the Einstein-frame lapse is forced to pass smoothly through zero and change sign while the causal-frame lapse remains positive. As a result, Einstein-frame degrees of freedom (including the scale factor) undergo spontaneous time-reversal while the Chaplygin gas evolves monotonically, enforcing a robust non-singular bounce even in the presence of additional matter canonically coupled to the Einstein frame.

C2weakest assumption

The model must be a phantom Chaplygin gas with superluminal sound speed so that the disformal acoustic metric defines a causal frame whose lapse stays positive while the Einstein-frame lapse crosses zero.

C3one line summary

Phantom Chaplygin gas forces the Einstein-frame lapse to change sign smoothly while the causal-frame lapse stays positive, yielding a robust non-singular bounce even with extra matter.

References

19 extracted · 19 resolved · 11 Pith anchors

[1] U. Moschella and M. Novello, Int. J. Mod. Phys. D31, 2250010 (2022), arXiv:2103.10473 [gr-qc] 2022

[2] J. D. Bekenstein, Phys. Rev. D48, 3641 (1993), arXiv:gr- qc/9211017 1993

[3] k-Essence, superluminal propagation, causality and emergent geometry · arXiv:0708.0561

[4] On causality and superluminal behavior in classical field theories. Applications to k-essence theories and MOND-like theories of gravity 2007 · arXiv:gr-qc/0607055

[5] Null energy condition and superluminal propagation · arXiv:hep-th/0512260

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:15.946085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e113c41cd016e5695625b937de78d6496b1970dd9e255bc6f31c9dce17b84b9a

Aliases

arxiv: 2602.21642 · arxiv_version: 2602.21642v2 · doi: 10.48550/arxiv.2602.21642 · pith_short_12: 4EJ4IHGQC3SW · pith_short_16: 4EJ4IHGQC3SWSVRF · pith_short_8: 4EJ4IHGQ

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/4EJ4IHGQC3SWSVRFXE3546GWJF \
  | 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: e113c41cd016e5695625b937de78d6496b1970dd9e255bc6f31c9dce17b84b9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d3a67454ea29eb72e88df8e27d9089d8d06459d4c3e65105eeacdb349fa904",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-02-25T07:13:45Z",
    "title_canon_sha256": "77b0245e3f336eb9d8b0cbc711b8229178c9ef6092c9933a3d5419913d9da2ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.21642",
    "kind": "arxiv",
    "version": 2
  }
}