On Gravity Implication in the Wavefunction Collapse

• URL: http://arxiv.org/abs/2411.04883v1
• Date: Thu, 07 Nov 2024 17:18:45 GMT
• Title: On Gravity Implication in the Wavefunction Collapse
• Authors: A. Belhaj, S. E. Ennadifi,
• Abstract summary: We investigate the stability of the spatial superposition of a massive quantum state under the gravity effect. 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.
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• 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.

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