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Geometry-Only CSL/DP Ratios and the Nonuniqueness of Decoherence Kernels — arXiv:2608.05972

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.05972
License (as archived): CC0-1.0
Archived: 2026-10-31T10:53:42.977Z
SHA-256 of the archived text: 7a2b9c66d0221bf14a7b6791d66b988f00882560351020bd2282a1f4c6f812da
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How to cite

Geometry-Only CSL/DP Ratios and the Nonuniqueness of Decoherence Kernels — arXiv:2608.05972 — arXiv (en), https://arxiv.org/abs/2608.05972 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_c42fea730ca2 (Metraipolis archive dc_c42fea730ca2, sha256 7a2b9c66d0221bf14a7b6791d66b988f00882560351020bd2282a1f4c6f812da)

BibTeX

@misc{dcc42fea730ca2,
  title = {Geometry-Only CSL/DP Ratios and the Nonuniqueness of Decoherence Kernels — arXiv:2608.05972},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.05972},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_c42fea730ca2; sha256 7a2b9c66d0221bf14a7b6791d66b988f00882560351020bd2282a1f4c6f812da},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.05972. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

We study idealized levitated protocols that create spatial superpositions of massive test particles. For each protocol, we compare the dimensionless contrast-loss exponent of mass-proportional continuous spontaneous localization (CSL) with the Diósi--Penrose (DP) self-energy exponent $E_G\tau/\hbar$. We first prove that the point-particle CSL separation kernel has an exact random-unitary realization: Gaussian momentum kicks arriving at Poisson-distributed times produce the same unconditional decay of spatial coherence, although a pure state conditioned on the complete kick record remains pure. The separation kernel alone therefore specifies an operational decoherence law, not the occurrence of objective collapse. We then show that the ratio of the CSL and DP exponents is independent of particle mass and interrogation time. In the point-particle model it depends only on branch separation and an effective distance; for the standard GRW reference parameters, its resolved-superposition crossover is $x_*\approx1.91\,\mathrm{nm}$. For rigid spherical bodies with an arbitrary normalized radial mass profile, total mass, overall density scale, and interrogation time again cancel, leaving a dimensionless geometry factor. The results distinguish three requirements for a decisive experiment: detectable absolute effects, a controlled comparison of CSL and DP scales, and observables capable of discriminating physically different dynamics that share the same ensemble decoherence kernel.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-07 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph) ; General Relativity and Quantum Cosmology (gr-qc).
Pagina del lavoro: https://arxiv.org/abs/2608.05972 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-31T10:40:45.613Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-08-07?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).