Close the decoherence-diffusion window for classical gravity · revision history

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Accepted · first revision · record

Title
Close the decoherence-diffusion window for classical gravity
Plain
If gravity is classical while matter is quantum, consistency requires gravity to both blur superpositions and make the gravitational pull jitter randomly. Measuring both effects together can exclude such theories.
Precise
In classical-quantum gravity (Oppenheim and coworkers), the decoherence coefficient $D_2$ for mass superpositions and the diffusion coefficient $D_0$ of the Newtonian potential obey a trade-off with $D_0D_2$ bounded below (Oppenheim, Sparaciari, Soda, Weller-Davies, Nature Communications 2023). Determine whether coherence times from matter-wave interferometry combined with acceleration-noise data (torsion balances, Cavendish-type experiments, LISA Pathfinder) exclude the entire allowed $(D_0,D_2)$ region for each choice of kernel.
Settled by
Joint bounds from interferometric coherence and gravitational acceleration noise leaving no allowed $(D_{0}, D_{2})$ for the model class.
Kind
well-posed
Answer type
yes-no
References
(empty)
Literature status
open
Status note
The trade-off was derived in 2022-2023 (arXiv:2203.01982); 2025 proposals test it via classical diffusion of probe masses (arXiv:2501.13030).
Posed since
2022