Gravity induced wave function collapse

Abstract

Starting from an idea of S.L. Adler~\cite{Adler2015}, we develop a novel model of gravity-induced spontaneous wave-function collapse. The collapse is driven by complex stochastic fluctuations of the spacetime metric. After deriving the fundamental equations, we prove the collapse and amplification mechanism, the two most important features of a consistent collapse model. Under reasonable simplifying assumptions, we constrain the strength $\xi$ of the complex metric fluctuations with available experimental data. We show that $\xi \ge 10^{-26}$ in order for the model to guarantee classicality of macro-objects, and at the same time $\xi \le 10^{-20}$ in order not to contradict experimental evidence. As a comparison, in the recent discovery of gravitational waves in the frequency range 35 to 250 Hz, the (real) metric fluctuations reach a peak of $\xi \sim 10^{-21}$.

9 pages , 1 figure

References in corpus (7)

• Lower and Upper Bounds on CSL Parameters from Latent Image Formation and IGM Heating
• Optomechanical sensing of spontaneous wave-function collapse
• Collapse models with non-white noises
• Notes on Certain Newton Gravity Mechanisms of Wave Function Localisation and Decoherence
• Testing spontaneous wave-function collapse models on classical mechanical oscillators
• Non-Paradoxical Loss of Information in Black Hole Evaporation in a Quantum Collapse Model
• X-rays help to unfuzzy the concept of measurement

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