A theory addressing the quantum measurement problem: collapse occurs when the entangling speed reaches a threshold

TL;DR

This paper introduces an objective collapse theory where wavefunction collapse occurs when the entangling speed exceeds a threshold, explaining the quantum-to-classical transition and ensuring energy conservation.

Contribution

It proposes a novel entangling-speed-threshold collapse mechanism that addresses key measurement problem questions and aligns with classical observations.

Findings

Collapse occurs at a specific entangling speed threshold

The theory predicts localized collapse bases for macroscopic objects

Energy conservation is maintained with high accuracy

Abstract

To resolve the quantum measurement problem, we propose an objective collapse theory in which both the wavefunction and the process of collapse are regarded as ontologically objective. The theory, which we call the entangling-speed-threshold theory, postulates that collapse occurs when the entangling speed of a system reaches a threshold, and the collapse basis is determined so as to eliminate the entangling speed and to minimize its increasing rate. Using this theory, we provide answers to the questions of where and when collapse occurs, how the collapse basis is determined, what systems are (in other words, what the actual tensor product structure is), and what determines the observables. We also explain how deterministic classical dynamics emerges from indeterministic quantum collapse, explaining the quantum-to-classical transition. In addition, we show that the theory guarantees energy conservation to a high accuracy. We apply the theory to a macroscopic flying body such as a bullet in the air, and derive a satisfactory collapse basis that is highly localized in both position and momentum, consistent with our everyday observation. Finally, we suggest an experiment that can verify the theory.