Characteristic length of dynamical reduction models and decay of cosmological vacuum

TL;DR

This paper calculates the characteristic length scale in dynamical reduction models using energy conservation and cosmological data, finding a value that supports gravity-induced collapse mechanisms.

Contribution

It introduces a method to determine the characteristic length in dynamical reduction models based on cosmological vacuum decay, linking quantum collapse to gravity.

Findings

Characteristic length ~10^{-5} cm matches phenomenological cutoff

Supports gravity-induced dynamical reduction mechanisms

Links quantum measurement models with cosmological vacuum decay

Abstract

Characteristic length of mass density resolution in dynamical reduction models is calculated utilizing energy conservation law and viable cosmological model with decreasing energy density of vacuum (dark energy density). The value found, $ \sim 10^{-5}$ cm, numerically coincides with phenomenological spatial short-length cutoff parameter introduced in the Ghirardi-Rimini-Weber model. It seems that our results support the gravity induced mechanism of dynamical reduction.