Can massive superpositions exclude the GRW collapse rate?

In plain words

Collapse models modify quantum mechanics so that large objects lose superpositions on their own. The original proposed rate has never been ruled out.

Precise statement

Continuous spontaneous localization with rate $\lambda$ and length $r_C$. Exclude $\lambda = 10^{-16}\ \mathrm{s}^{-1}$ at $r_C = 10^{-5}\ \mathrm{cm}$ (the GRW value of Ghirardi, Rimini and Weber) by interferometric or non-interferometric (heating, noise) tests with massive objects. Answer: yes or no, with the excluded region in the $(\lambda, r_C)$ plane.

What would settle it

An interferometry or heating experiment whose excess-decoherence bound lies below $\lambda$ = $10^{-16}$ $\mathrm{s}^{-1}$ at $r_C$ = $10^{-5}$ cm.

Status in the literature

Unverified note: it names recent work and was partly written without a live literature search; it awaits a check by an editor.

Non-interferometric tests (to 2021) constrain the enhanced Adler rates, and 2025 interference of sodium clusters above 170,000 amu (Pedalino et al., arXiv:2507.21211) tightened interferometric bounds; the GRW point is not reported excluded, which should be checked against the 2025 exclusion plot.

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