On Gravity Implication in the Wavefunction Collapse

TL;DR

This paper explores how gravity may influence wavefunction collapse by analyzing the stability of massive quantum superpositions and proposing a gravity-driven mechanism for state reduction, with implications for collapse time and detection.

Contribution

It introduces a gravity-based model for wavefunction collapse, linking gravitational self-energy to the stability and reduction of spatial superpositions in quantum states.

Findings

Gravitational self-energy affects superposition stability.

Gravity can induce state reduction in massive quantum systems.

Collapse time depends on gravitational interaction strength.

Abstract

Inspired by an ontic view of the wavefunction in quantum mechanics and motivated by the universal interaction of gravity, we discuss a possible gravity implication in the state collapse mechanism. Concretely, we investigate the stability of the spatial superposition of a massive quantum state under the gravity effect. In this context, we argue that the stability of the spatially superposed state depends on its gravitational self-energy originating from the effective mass density distribution through the spatially localized eigenstates. We reveal that the gravitational self-interaction between the different spacetime curvatures created by the eigenstate effective masses leads to the reduction of the superposed state to one of the possible localized states. Among others, we discuss such a gravity-driven state reduction. Then, we approach the corresponding collapse time and the induced effective electric current in the case of a charged state, as well as the possible detection aspects.