Collapse of the State Vector

TL;DR

This paper explores modified quantum mechanics theories where the state vector undergoes stochastic evolution, leading to collapse into definite states consistent with the Born rule, aiming to address the measurement problem.

Contribution

It introduces a general class of theories describing stochastic state vector evolution resulting in collapse to definite states with correct quantum probabilities.

Findings

Theories produce state collapse consistent with the Born rule.

Framework encompasses a broad class of stochastic modifications.

Addresses the measurement problem in quantum mechanics.

Abstract

Modifications of quantum mechanics are considered, in which the state vector of any system, large or small, undergoes a stochastic evolution. The general class of theories is described, in which the probability distribution of the state vector collapses to a sum of delta functions, one for each possible final state, with coefficients given by the Born rule.