Hidden Variable Quantum Mechanics from Branching from Quantum Complexity

TL;DR

This paper introduces a novel approach to quantum mechanics by decomposing state vectors into branches based on minimal quantum complexity, proposing a method to derive initial states that produce persistent branching and macroscopic reality.

Contribution

It presents a new branch decomposition method based on quantum complexity and a way to identify initial states leading to persistent many-worlds branches.

Findings

Proposes a complexity-based branch decomposition method.

Suggests initial states that produce persistent branching sequences.

Links macroscopic reality to an accumulation of persistent branches.

Abstract

Beginning with the Everett-DeWitt many-worlds interpretation of quantum mechanics, there have been a series of proposals for how the state vector of a quantum system might be split at any instant into orthogonal branches, each of which exhibits approximately classical behavior. Here we propose a decomposition of a state vector into branches by finding the minimum of a measure of the net quantum complexity of the branch decomposition. We then propose a method for finding an ensemble of possible initial state vectors from which a randomly selected member, if evolved by ordinary Hamiltonian time evolution, will follow a single sequence of those branches of many-worlds quantum mechanics which persist through time. Macroscopic reality, we hypothesize, consists of an accumulating sequence of such persistent branching results. For any particular draw, the resulting deterministic system appears to exhibit random behavior as a result of the successive emergence over time of information present in the initial state but not previously observed.