Phenomenological model shows nonlinear localization in quantum dynamics, suggesting new empirical tests for high-mass states.
We propose a phenomenological stochastic modification of nonrelativistic quantum dynamicsin which state-vector reduction is triggered by a gravitational distinguishability functional betweenmacroscopically distinct mass-density configurations. The model is designed so that individualexperimental runs admit nonlinear, finite-time localization dynamics, while the ensemble stateadmits a linear evolution compatible with a no-signaling constraint. Two empirical parametersare introduced: a record-capacity scale S∗ and a spatial resolution scale rc, which together setcollapse time statistics for interferometric superpositions of extended masses. We summarizethe dynamical postulates, clarify their domain of validity, and outline falsifiable signatures inhigh-mass matter-wave interferometry
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SIKX HILTON (2026) studied this question.
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