Pith Number

pith:JO6GA7V6

pith:2026:JO6GA7V65KV2JMDMALU77DNV4D

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Quantum spacetime and quantum fluctuations in the IKKT model at weak coupling

Harold C. Steinacker

In the IKKT matrix model, quantum fluctuations of the matrices become negligible compared to the background noncommutativity scale at weak coupling.

arxiv:2605.13294 v1 · 2026-05-13 · hep-th

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\pithnumber{JO6GA7V65KV2JMDMALU77DNV4D}

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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

The quantum fluctuations are shown to be negligible in the weak coupling regime. This justifies previous work on the emergent 3+1-dimensional semi-classical geometry and (quantum) gravity in suitable vacua.

C2weakest assumption

The chosen matrix backgrounds (Moyal-Weyl quantum plane and covariant quantum spacetime) are stable vacua whose scale estimates accurately capture the dominant physics without significant higher-order corrections or instabilities.

C3one line summary

In the IKKT matrix model, quantum fluctuations are negligible compared to noncommutativity scales at weak coupling for Moyal-Weyl and covariant quantum spacetime backgrounds, justifying semi-classical emergent geometry.

References

52 extracted · 52 resolved · 25 Pith anchors

[1] Steinacker,One-loop effective action and emergent gravity on quantum spaces in the IKKT matrix model,JHEP05(2023) 129 [arXiv:2303.08012]

[2] Steinacker,Gravity as a quantum effect on quantum space-time,Phys 2022

[3] H. C. Steinacker and T. Tran,Quantumhs-Yang-Mills from the IKKT matrix model, 2405.09804

[4] A. Manta and H. C. Steinacker,Dynamical Covariant Quantum Spacetime with Fuzzy Extra Dimensions in the IKKT model,2509.24753

[5] The emergence of (3+1)-dimensional expanding spacetime from complex Langevin simulations of the Lorentzian type IIB matrix model with deformations · arXiv:2604.19836

Receipt and verification

First computed	2026-05-18T02:44:49.096843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bbc607ebeeaaba4b06c02e9ff8db5e0fd67247d53619be4f4eb4b4193f23029

Aliases

arxiv: 2605.13294 · arxiv_version: 2605.13294v1 · doi: 10.48550/arxiv.2605.13294 · pith_short_12: JO6GA7V65KV2 · pith_short_16: JO6GA7V65KV2JMDM · pith_short_8: JO6GA7V6

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JO6GA7V65KV2JMDMALU77DNV4D \
  | 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: 4bbc607ebeeaaba4b06c02e9ff8db5e0fd67247d53619be4f4eb4b4193f23029

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70bc4d37792879c6b7f48421250fca5d2a0db74ba78e353e38267468ce3258e1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-13T10:07:26Z",
    "title_canon_sha256": "3b4a3d1fef7874c88e4a5a01617194b6b9ab67e2d1e828f00348940c557c2771"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13294",
    "kind": "arxiv",
    "version": 1
  }
}