Probing the Informational Limit of Nature: An Interferometric Proposal Based on the σx Dependence of Stochastic Rupture

Objective collapse models, such as the DiósiPenrose (DP) model, propose that gravity induces the loss of coherence in spatial superpositions. In an earlier Bekenstein-threshold realization of the Stochastic Rupture (SR) framework (Zambuzi, 2026), collapse is triggered when the von Neumann entropy reaches a fraction η of an eective maximum informational limit Imax of the system. Although the Bekenstein bound provides a natural theoretical ceiling for this limit, the true eective informational capacity of nature that may trigger collapse, here denoted Inature, remains an open empirical question. We show that the functional dependence of the collapse time on the wavepacket width, τ ∝ σ2x, provides a distinctive experimental signature of that earlier realization. We propose an optomechanical interferometry experiment that uses controlled variation of σx not only to distinguish this σx-dependent law from the asymptotic DP prediction, but also to constrain the eective combination ηInature. In this extended version we add a complementary macro-scopic probe: levitated superuid helium drops. In the SR framework suchdrops occupy a regime in which σx ≫ d and d itself is eectively undened,leading to a natural prediction of long-lived coherence. The asymptotic DPlaw is ill-dened in this regime, while naive extrapolation of the DP expressionto small d predicts almost instantaneous collapse in conict with observedsuperuid stability. The macroscopic stability of coherent superuid helium istherefore a passive prediction of SR and a non-trivial tension for extrapolatedDP-type models.