Pith Number

pith:UHTWS25Q

pith:2026:UHTWS25QWJ2D2FOK2CTE342PNE

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Multi-Matrix Quantum Mechanics, Collective Fields and Emergent Space

Robert Brandenberger, Suddhasattwa Brahma, Yue Lei

Bosonic multi-matrix quantum mechanics reduces to a collective field whose effective Hamiltonian has a stable vacuum.

arxiv:2605.13972 v1 · 2026-05-13 · hep-th · gr-qc

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Claims

C1strongest claim

We derive the effective Hamiltonian of the collective field and study the vacuum solution and its stability.

C2weakest assumption

The collective field framework can be directly applied to bosonic multi-matrix Lagrangians to produce a well-defined effective Hamiltonian whose vacuum is stable.

C3one line summary

Derives the effective Hamiltonian in the collective field framework for three-matrix quantum mechanics models and analyzes the stability of the vacuum solution.

References

28 extracted · 28 resolved · 8 Pith anchors

[1] M Theory As A Matrix Model: A Conjecture 1997 · arXiv:hep-th/9610043

[2] A Large-N Reduced Model as Superstring 1997 · arXiv:hep-th/9612115

[3] Constraints on Hamiltonian Lattice Formulations of Field Theories in an Expanding Universe, 1985 · doi:10.1103/physrevd.32.3228

[4] Trans-Planckian Censorship and In- flationary Cosmology, 2020 · doi:10.1393/ncc/i2022-22040-9

[5] Regularization of Matrices in the Covariant Deriva- tive Interpretation of Matrix Models, 2024

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:13.482618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1e7696bb0b2743d15cad0a64df34f692d3a51d0afe1b7bca1cfa04e299ebf57

Aliases

arxiv: 2605.13972 · arxiv_version: 2605.13972v1 · doi: 10.48550/arxiv.2605.13972 · pith_short_12: UHTWS25QWJ2D · pith_short_16: UHTWS25QWJ2D2FOK · pith_short_8: UHTWS25Q

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UHTWS25QWJ2D2FOK2CTE342PNE \
  | 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: a1e7696bb0b2743d15cad0a64df34f692d3a51d0afe1b7bca1cfa04e299ebf57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c78776c9521d43df3008a6820b3f62ba67148a282b724a85d0621831b0d4c00c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-05-13T18:00:08Z",
    "title_canon_sha256": "8574ef801ecd345fcfd59fb4ed121c9ba60775d573439ed4ec70450ebf3b81ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13972",
    "kind": "arxiv",
    "version": 1
  }
}