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pith:XQGFZYJZ

pith:2026:XQGFZYJZXM44G3UWZW33BEIIGD

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Decoherence of spatial superpositions along stationary worldlines

Aaron Bartleson, Clemens Jakubec, Kanu Sinha, Peter W. Milonni

A particle's spatial superposition along a stationary worldline decoheres from a modified vacuum field spectrum and differential time dilation across its wavefunction.

arxiv:2605.13677 v1 · 2026-05-13 · quant-ph · gr-qc · physics.atom-ph

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Claims

C1strongest claim

The resulting decoherence has two components: (1) arising from a modified field spectrum observed by the particle; and (2) due to a differential time-dilation over the particle's extended spatial wavefunction. For stationary trajectories, both contributions take an effectively thermal form.

C2weakest assumption

Assuming a separation of time scales between the particle's internal and external dynamics to obtain the effective red-shifted polarizability, together with the Born-Markov approximation for the master equation.

C3one line summary

Decoherence of spatial superpositions along stationary worldlines arises from a red-shifted polarizability leading to thermal-like effects from modified field spectrum and differential time dilation.

References

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[1] The particle’s quantized center-of-mass interacts with the field via the internal oscillator, as given by the following interaction Hamiltonian: ˆHDU int (τ)≡−1 2 ˆXi(τ) { ˙ˆd0,st(τ),∂i ˆϕ(τ) } (19) T

[2] The differential time dilation across the center-of- mass wavefunction, described by the redshift-factor g00, gives rise to the interaction Hamiltonian: ˆHTD int (τ)≡ai ˆXi(τ) 4c2 { ˙ˆd1,st(τ)−˙ˆd0,st

[3] The diagonal termsΛii correspond to the decoher- ence in the position basis: Λij = 1 2ℏ2 ∫ ∞ 0 dτ′ ⣨{ ˆBi(τ),ˆBj(τ−τ′) }⟩ .(27)

[4] The dissipation of the center-of-mass energy into the environment is Γij≡i 2Mℏ ∫ ∞ 0 dτ′τ′ ⣨[ ˆBi(τ),ˆBj(τ−τ′) ]⟩ .(28) Decoherence rateΛ ii is related toΓ ii via the fluctuation-dissipation theorem:2

[5] The system Hamiltonian is modified by the terms: C(1) i ≡ ⣨ ˆBi(τ) ⟩ ,and (29) C(2) ij ≡i 2ℏ ∫ ∞ 0 dτ′ ⣨[ ˆBi(τ),ˆBj(τ−τ′) ]⟩ .(30) Remarkably, these contributions are akin to the first derivative of

Formal links

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Receipt and verification

First computed	2026-05-18T02:44:17.067485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc0c5ce139bb39c36e96cdb7b0910830d21cccca2286f0eab1b2df8f9224bec6

Aliases

arxiv: 2605.13677 · arxiv_version: 2605.13677v1 · doi: 10.48550/arxiv.2605.13677 · pith_short_12: XQGFZYJZXM44 · pith_short_16: XQGFZYJZXM44G3UW · pith_short_8: XQGFZYJZ

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curl -sH 'Accept: application/ld+json' https://pith.science/pith/XQGFZYJZXM44G3UWZW33BEIIGD \
  | 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: bc0c5ce139bb39c36e96cdb7b0910830d21cccca2286f0eab1b2df8f9224bec6

Canonical record JSON

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      "gr-qc",
      "physics.atom-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-05-13T15:35:20Z",
    "title_canon_sha256": "eff9bec1c2eaf6e3fac27da7fa868496e356fbf59d4a4b65947eab0d7660f7ff"
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    "kind": "arxiv",
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