Measurement Problem in Quantum Mechanics and the Surjection Hypothesis

TL;DR

This paper explores the measurement problem in quantum mechanics, proposing the surjection hypothesis to explain the actual choice in measurements within a deterministic unitary framework, aiming to eliminate randomness.

Contribution

It introduces the surjection hypothesis as a novel explanation for the measurement choice, integrating it into the unitary quantum dynamics framework.

Findings

Decoherence explains the alignment projection component.

Witness production remains within unitary dynamics.

Surjection hypothesis offers a deterministic account of measurement choices.

Abstract

Starting with unitary quantum dynamics, we investigate how to add quantum measurements. Quantum measurements have four essential components: the furcation, the witness production, an alignment projection, and the actual choice decision. The first two components still lie in the domain of unitary quantum dynamics. The decoherence concept explains the third contribution. It can be based on the requirement that witnesses reaching the end of time on the wave function side and the conjugate one have to be identical. In this way, it also stays within the quantum dynamics domain. The surjection hypothesis explains the actual choice decision. It is based on a two boundary interpretation applied to the complete quantum universe. It offers a simple way to reduce these seemingly random projections to purely deterministic unitary quantum dynamics, eliminating the measurement problem.