Pith Number

pith:BCIFE3AD

pith:2026:BCIFE3ADR2BHSGFLPRYJHY7DPW

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Microscopic Origins of Collapse Models: Decoherence from Graviton Bremsstrahlung

Moslem Zarei

A fermion in spatial superposition decoheres via graviton emission at a rate fixed by its mass, separation, and gravitational coupling.

arxiv:2605.12955 v1 · 2026-05-13 · quant-ph · gr-qc

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Claims

C1strongest claim

By examining the collision term in the QBE, we derive the decoherence rate and show how it depends on spatial separation, particle mass, and gravitational coupling.

C2weakest assumption

That the quantum Boltzmann equation remains valid for describing graviton emission from a spatially superposed fermion without requiring corrections from a full quantum theory of gravity.

C3one line summary

Graviton bremsstrahlung produces a decoherence rate in mass superpositions that scales with spatial separation, mass, and gravitational coupling, furnishing a quantum-field-theory basis for collapse models.

References

42 extracted · 42 resolved · 0 Pith anchors

[1] Coherent amplification and volume-normalized spectrum For a composite system ofNapproximately identical constituents, graviton emission amplitudes add coherently in the long-wavelength regime. The tot

[2] Hierarchy of physical regimes The quadratic scaling in Eq. (37) generates a clear hierarchy across physical systems. In the regime where spatial nonlocality is subleading, the decoherence kernel simpl

[3] (iq′ 1µ1)γ ν1 ur1(q1)h s2µ2ν2(p2) ¯ur′ 2(q2) (−iq′ 2µ2)γ ν2 ur2(q′ 2) ×e−σ2 0 |q′ 1−q1+p1|2 e−i(q′ 1−q1+p1)·¯x1(τ1) e−σ2 0 |q′ 2−q2+p2|2 ei(q′ 2−q2+p2)·¯x2(τ2) ×ei(q′0 1 −q0 1+p0 1)x0 1 ρ(g) s2s1(p2)δ

[4] (iq′ 1µ1)γ ν1 ur1(q1)hs2µ2ν2(p2) ¯ur′ 2(q2) (−iq′ 2µ2)γ ν2 ur2(q′ 2) ×exp −σ2 0|q′ 1 −q 1 +p 1|2 exp[−i(q′ 1 −q 1 +p 1)· ¯x1] exp −σ2 0|q′ 2 −q 2 +p 2|2 exp[i(q′ 2 −q 2 +p 2)· ¯x2] ×ρ (g) s2s1(p2)δ 3(

[5] Dissipative Continuous Spontaneous Localization (CSL) model.Sci

Receipt and verification

First computed	2026-05-18T03:09:09.301409Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0890526c038e827918ab7c7093e3e37db5841d57e97ae78217d6358a3f393720

Aliases

arxiv: 2605.12955 · arxiv_version: 2605.12955v1 · doi: 10.48550/arxiv.2605.12955 · pith_short_12: BCIFE3ADR2BH · pith_short_16: BCIFE3ADR2BHSGFL · pith_short_8: BCIFE3AD

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BCIFE3ADR2BHSGFLPRYJHY7DPW \
  | 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: 0890526c038e827918ab7c7093e3e37db5841d57e97ae78217d6358a3f393720

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c08f19c3a256e7555753cb7b71ba0d0b82e7de6928c9cc3674390f961e7d3fd",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-13T03:41:18Z",
    "title_canon_sha256": "9e7bea3c724515946c790abb6c1663cc6f4e3c7a9ecd0c0aec016061765f003b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12955",
    "kind": "arxiv",
    "version": 1
  }
}