# Gravity induced wave function collapse

## TL;DR

This paper introduces a new gravity-induced wave function collapse model driven by complex stochastic spacetime metric fluctuations, deriving its fundamental equations, and constraining its parameters with experimental data.

## Contribution

It develops a novel collapse model based on complex metric fluctuations and establishes bounds on fluctuation strength using experimental gravitational wave data.

## Key findings

- Collapse and amplification mechanisms are proven within the model.
- The fluctuation strength  is constrained between 10^{-26} and 10^{-20}.
- Experimental gravitational wave data supports the model's parameter bounds.

## 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 $\xi\geq 10^{-26}$ in order for the model to guarantee classicality of macro-objects, and at the same time $\xi \leq 10^{-20}$ 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 $\xi \sim 10^{-21}$.