On gravity implication in the wave function collapse

A. Belhaj; S. E. Ennadifi

doi:10.1209/0295-5075/ad8f5c

All issues

Volume 148 / No 4 (November 2024)

EPL, 148 4 (2024) 40001

Abstract

Issue		EPL Volume 148, Number 4, November 2024


Article Number		40001
Number of page(s)		7
Section		General physics
DOI		https://doi.org/10.1209/0295-5075/ad8f5c
Published online		25 November 2024

EPL, 148 (2024) 40001

On gravity implication in the wave function collapse

A. Belhaj¹ (Theauthorsareinalphabeticalorder.) and S. E. Ennadifi² (ennadifis@gmail.com)

¹ Physics department, Faculty of Sciences, Mohammed V University in Rabat - Rabat, Morocco
² LHEP-MS, Faculty of Sciences, Mohammed V University in Rabat - Rabat, Morocco

Received: 19 July 2024
Accepted: 6 November 2024

Abstract

Inspired by an ontic view of the wave function 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 $\left \vert \Psi \right \rangle = \sum _{i=1}^{n}\alpha _{i}\left \vert \psi _{i}\right \rangle , \alpha _{i}\in \mathbb {C}$ , depends on its gravitational self-energy $U_{\Psi }^{G}$ originating from the effective mass density distribution $\rho _{m}^{\ast }(x)$ through the spatially localized eigenstates $\left \vert \psi _{i}\right \rangle$ . We reveal that the gravitational self-interaction between the different spacetime curvatures $\left \vert G_{i}\right \rangle$ created by the eigenstate effective masses $m_{\psi }^{\ast }$ leads to the reduction of the superposed state to one of the possible localized states $\left \vert \psi _{k}\right \rangle \left \vert G_{k}\right \rangle$ . Among others, we discuss such a gravity-driven state reduction. Then, we approach the corresponding collapse time $\tau _{\Psi }$ and the induced effective electric current $I_{\Psi }^{\ast }$ in the case of a charged state, as well as the possible detection aspects.

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