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This research investigates the microscopic mechanisms of wave function collapse by modeling graviton emission via the quantum Boltzmann equation, offering a rigorous framework to link gravitational coupling with decoherence rates. The study bridges quantum field theory and continuous spontaneous localization models, providing critical parameters for future experimental tests of gravity-induced quantum instability.
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Microscopic Origins of Collapse Models: Decoherence from Graviton Bremsstrahlung

arXiv2 min read

arXiv:2605.12955v2 Announce Type: replace Abstract: Some collapse models proposed that gravitational effects cause the instability of mass distribution superpositions, leading to wave function collapse. In this paper, we utilize the quantum Boltzmann equation (QBE) to analyze the behavior of a fermion in a spatial superposition under graviton emission. We introduce a quantitative measure that links the stability of the superposition to the spatial separation, particle mass, and gravitational coupling. By examining the collision term in the QBE, we derive the decoherence rate and show how it depends on these parameters. Our results provide a detailed framework for understanding gravity induced decoherence, bridging the gap between quantum field theory and collapse models. We also discuss the implications of these findings for experimental tests of gravitationally induced wave function collapse and the broader class of collapse models known as dissipative continuous spontaneous localization (CSL) model.

Abstract:Some collapse models proposed that gravitational effects cause the instability of mass distribution superpositions, leading to wave function collapse. In this paper, we utilize the quantum Boltzmann equation (QBE) to analyze the behavior of a fermion in a spatial superposition under graviton emission. We introduce a quantitative measure that links the stability of the superposition to the spatial separation, particle mass, and gravitational coupling. By examining the collision term in the QBE, we derive the decoherence rate and show how it depends on these parameters. Our results provide a detailed framework for understanding gravity induced decoherence, bridging the gap between quantum field theory and collapse models. We also discuss the implications of these findings for experimental tests of gravitationally induced wave function collapse and the broader class of collapse models known as dissipative continuous spontaneous localization (CSL) model.

arXiv:2605.12955 [quant-ph]

(or arXiv:2605.12955v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2605.12955 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 227 words

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